diff --git a/README.md b/README.md
index 0c643538e..c6d883bdc 100644
--- a/README.md
+++ b/README.md
@@ -85,8 +85,9 @@ making it easy to build end-to-end differentiable functions involving both learn
- FVM Fluid
+ FVM fluid
Heat flow
+ Mesh construction
@@ -100,7 +101,7 @@ making it easy to build end-to-end differentiable functions involving both learn
-
+
@@ -110,9 +111,9 @@ making it easy to build end-to-end differentiable functions involving both learn
Heightmaps
+
-
-
+
Gravity
@@ -122,30 +123,30 @@ making it easy to build end-to-end differentiable functions involving both learn
-[Solar System](https://tum-pbs.github.io/PhiFlow/Planets_Tutorial.html)
-
### Optimization & Networks
-
-
+
+
- Finding minima
- Learning to Throw
+ Gradient Descent
+ Optimize throw
+ Learn to Throw
PIV
- Dense packing
-
-
+
+
+
- Learning a Potential
+ Close packing
+ Learn Φ(x,y)
Differentiable pressure
diff --git a/docs/figures/examples/optim/Close_Packing.png b/docs/figures/examples/optim/Close_Packing.png
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diff --git a/docs/figures/examples/optim/Learn_Potential.png b/docs/figures/examples/optim/Learn_Potential.png
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diff --git a/docs/figures/examples/particles/Gravity.jpg b/docs/figures/examples/particles/Gravity.jpg
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diff --git a/docs/figures/examples/particles/Ropes.png b/docs/figures/examples/particles/Ropes.png
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diff --git a/docs/figures/examples/particles/Streamlines.jpg b/docs/figures/examples/particles/Streamlines.jpg
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diff --git a/examples/optim/Close_Packing.ipynb b/examples/optim/Close_Packing.ipynb
new file mode 100644
index 000000000..ef8b8e89d
--- /dev/null
+++ b/examples/optim/Close_Packing.ipynb
@@ -0,0 +1,10666 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Clock-Packing of Spheres\n",
+ "\n",
+ "[![Google Collab Book](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/tum-pbs/PhiFlow/blob/develop/examples/grids/Close_Packing.ipynb)\n",
+ "\n",
+ "This example optimizes sphere positions in order to find the maximally frustrated state, i.e. fill a limited space with as little overlap as possible."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "# %pip install --quiet phiflow\n",
+ "from phi.jax.flow import *\n",
+ "# from phi.flow import * # If JAX is not installed. You can use phi.torch or phi.tf as well."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "For a given number of spheres, we first define the domain `size` so that 5% more area is available than the spheres take up.\n",
+ "Then we initialize the spheres at random points inside the periodic domain."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 2,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "R = wrap([1]*64 + [vec(batch('d'), 1, .5)]*64, instance('spheres'))\n",
+ "size = (math.sum(Sphere(vec(x=0, y=0), R).volume, 'spheres') * 1.05) ** .5\n",
+ "x0 = math.random_uniform(instance(R), channel(vector='x,y'), high=size)\n",
+ "plot(Sphere(x0, R), size=(6, 3))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Next, we define the loss function to be minimized.\n",
+ "We penalize spheres whose distance is shorter than their combined radii."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "def loss(x: Tensor, boundary=PERIODIC):\n",
+ " dx = boundary.shortest_distance(x, rename_dims(x, 'spheres', 'o'), size)\n",
+ " dr = math.vec_length(dx, eps=1e-8) / (R + rename_dims(R, 'spheres', 'o'))\n",
+ " return math.l2_loss(math.where((dr < 2e-4) | (dr > 1), 0, 1 - dr))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "We can not optimize this system using an optimizer of our choice. Here we use SciPy's `L-BFGS-B` optimizer."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 5,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "x_packed = minimize(loss, Solve('L-BFGS-B', x0=x0)) % size\n",
+ "plot(Sphere(x_packed, R), size=(6, 3))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "ΦFlow also allows us to record the intermediate states of the optimization.\n",
+ "We can use these to visualize the process."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "with math.SolveTape(record_trajectories=True) as solves:\n",
+ " minimize(loss, Solve('L-BFGS-B', x0=x0))\n",
+ "x_trj = solves[0].x % size"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ " \n",
+ " Your browser does not support the video tag.\n",
+ " "
+ ],
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 10,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "plot(Sphere(x_trj, R), size=(8, 4), animate='trajectory', frame_time=40)"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "phiflow2",
+ "language": "python",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.8.5"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
diff --git a/examples/optim/Differentiable_Pressure.ipynb b/examples/optim/Differentiable_Pressure.ipynb
new file mode 100644
index 000000000..bc0f0c9cb
--- /dev/null
+++ b/examples/optim/Differentiable_Pressure.ipynb
@@ -0,0 +1,1960 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Differentiable Pressure\n",
+ "\n",
+ "[![Google Collab Book](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/tum-pbs/PhiFlow/blob/develop/examples/optim/Differentiable_Pressure.ipynb)\n",
+ "\n",
+ "This example demonstrates how differentiating through the pressure allows us to find control parameters to approxmate a desired flow."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "# %pip install --quiet phiflow\n",
+ "from phi.jax.flow import *\n",
+ "# from phi.flow import * # If JAX is not installed. You can use phi.torch or phi.tf as well.\n",
+ "from tqdm.notebook import trange"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Consider the following setup: We can control the fluid flow inside two spherical regions on the left. The task is to approximate the desired `target` flow in the right half of the room."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 36,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 36,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "res = dict(x=80, y=64)\n",
+ "control_area = union(Sphere(x=20, y=15, radius=10), Sphere(x=20, y=50, radius=10))\n",
+ "control_mask = StaggeredGrid(control_area, 0, **res)\n",
+ "target_mask = StaggeredGrid(Box(x=(40, INF), y=None), 0, **res)\n",
+ "target = target_mask * StaggeredGrid(lambda x: math.exp(-0.5 * math.vec_squared(x - (50, 10), 'vector') / 32**2), 0, **res) * (0, 2)\n",
+ "plot(control_mask['x'], target, overlay='args', size=(4, 3), title='Control areas (left) and target flow (right)')"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "To optimize the control flow, we first define the loss function and get its derivative."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 22,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "@jit_compile\n",
+ "def loss(v0):\n",
+ " v1, p = fluid.make_incompressible(v0 * control_mask)\n",
+ " return field.l2_loss((v1 - target) * target_mask), v1, p\n",
+ "\n",
+ "grad_fun = field.functional_gradient(loss, wrt='v0', get_output=True)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Now, we can iteratively apply gradient descent steps in order to reduce the loss."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 27,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "application/vnd.jupyter.widget-view+json": {
+ "model_id": "a92f05260a054fe781df440000d19dc5",
+ "version_major": 2,
+ "version_minor": 0
+ },
+ "text/plain": [
+ " 0%| | 0/20 [00:00, ?it/s]"
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "def gradient_descent_step(v0, _l, _v, step_size=1.):\n",
+ " (loss, v, p), dv0 = grad_fun(v0)\n",
+ " return v0 - step_size * dv0, loss, v\n",
+ "\n",
+ "velocity_fit = StaggeredGrid(Noise(), 0, **res) * 0.1 * control_mask\n",
+ "ctrl_trj, loss_trj, v_trj = iterate(gradient_descent_step, batch(iter=20), velocity_fit, None, None, range=trange)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Let's see how the loss is evolving."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 31,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 31,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot(loss_trj.iter.as_spatial(), size=(3, 3), title=\"Loss\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "And we can visualize how the full flow field changes during the optimization."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 32,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ " \n",
+ " Your browser does not support the video tag.\n",
+ " "
+ ],
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 32,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "plot(control_area, v_trj, overlay='args', animate='iter', frame_time=200, size=(5, 4))"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "phiflow2",
+ "language": "python",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.8.5"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
diff --git a/examples/optim/Gradient_Descent.ipynb b/examples/optim/Gradient_Descent.ipynb
new file mode 100644
index 000000000..e90df4518
--- /dev/null
+++ b/examples/optim/Gradient_Descent.ipynb
@@ -0,0 +1,1738 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Gradient Descent\n",
+ "\n",
+ "[![Google Collab Book](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/tum-pbs/PhiFlow/blob/develop/examples/optim/Gradient_Descent.ipynb)\n",
+ "\n",
+ "This example implements a basic gradient desscent optimizer to find minima in a potential function."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "%pip install --quiet phiflow\n",
+ "from phi.torch.flow import *\n",
+ "# from phi.flow import * # If JAX is not installed. You can use phi.torch or phi.tf as well."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "We begin by defining a potential function."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 3,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "def potential(pos):\n",
+ " return math.cos(math.vec_length(pos))\n",
+ "\n",
+ "landscape = CenteredGrid(potential, x=100, y=100, bounds=Box(x=(-5, 5), y=(-5, 5)))\n",
+ "plot(landscape, size=(4, 3))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Using `math.gradient`, we can plot the gradient at each point."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 6,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "pot_grad = math.gradient(potential, 'pos', get_output=False)\n",
+ "plot(landscape.with_values(pot_grad) * .2, size=(3, 3))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Now, let's define a simple gradient descent step with step size $\\eta = 0.1$.\n",
+ "To test it, we plot the optimization trajectory starting at $(1, 0)$ which should converge to towards $(\\pi,0)$."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "c:\\phd\\phiflow2\\phiml\\phiml\\math\\_functional.py:600: RuntimeWarning: Using torch for gradient computation because numpy does not support jacobian()\n",
+ " warnings.warn(f\"Using {math.default_backend()} for gradient computation because {key.backend} does not support jacobian()\", RuntimeWarning)\n"
+ ]
+ },
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 8,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "def gradient_descent_step(x):\n",
+ " return x - .1 * pot_grad(x)\n",
+ "\n",
+ "x0 = vec(x=1, y=0)\n",
+ "opt_trj = iterate(gradient_descent_step, batch(iter=50), x0)\n",
+ "plot(opt_trj.iter.as_spatial(), size=(5, 2))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Finally, let's visualize the trajectories of all grid points. We have to change the dimension type to `batch` in order for the optimizations to work in parallel."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 13,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ " \n",
+ " Your browser does not support the video tag.\n",
+ " "
+ ],
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 13,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "x0 = rename_dims(landscape.points, spatial, batch)\n",
+ "opt_trj = iterate(gradient_descent_step, batch(iter=50), x0)\n",
+ "plot([landscape, rename_dims(opt_trj, 'x,y', instance)], animate='iter', color='white', alpha=[1, .2], overlay='list', size=(6, 5))"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "phiflow2",
+ "language": "python",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.8.5"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
diff --git a/examples/optim/Learn_Potential.ipynb b/examples/optim/Learn_Potential.ipynb
new file mode 100644
index 000000000..50276305d
--- /dev/null
+++ b/examples/optim/Learn_Potential.ipynb
@@ -0,0 +1,830 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Learning a Potential\n",
+ "\n",
+ "[![Google Collab Book](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/tum-pbs/PhiFlow/blob/develop/examples/optim/Learn_Potential.ipynb)\n",
+ "\n",
+ "In this example, we train a neural network to approxiamte a potential function $\\phi(x,y)$."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "%pip install --quiet phiflow\n",
+ "from phi.torch.flow import *\n",
+ "# from phi.flow import * # If JAX is not installed. You can use phi.torch or phi.tf as well.\n",
+ "from tqdm.notebook import trange"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "We begin by defining and sampling the function $\\phi(x,y) = \\cos(\\sqrt(x^2+y^2))$ we want to learn."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 2,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "def potential(pos):\n",
+ " return math.cos(math.vec_length(pos))\n",
+ "\n",
+ "landscape = CenteredGrid(potential, x=100, y=100, bounds=Box(x=(-5, 5), y=(-5, 5)))\n",
+ "plot(landscape)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Next we create a fully-connected network with three hidden layers and an Adam optimizer.\n",
+ "We use a standard $L^2$ loss function (MSE loss) and use all sample points from the above grid as training data."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "\u001b[92m(xᵇ=100, yᵇ=100)\u001b[0m \u001b[94m0.238 ± 0.192\u001b[0m \u001b[37m(1e-09...6e-01)\u001b[0m"
+ ]
+ },
+ "execution_count": 9,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "math.seed(0)\n",
+ "net = dense_net(2, 1, [32, 64, 32])\n",
+ "optimizer = adam(net)\n",
+ "\n",
+ "def loss_function(x, label):\n",
+ " prediction = math.native_call(net, x)\n",
+ " return math.l2_loss(prediction - label), prediction\n",
+ "\n",
+ "input_data = rename_dims(landscape.points, spatial, batch)\n",
+ "labels = rename_dims(landscape.values, spatial, batch)\n",
+ "loss_function(input_data, labels)[0]"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Let's train the network for 200 iterations!"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 10,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "loss_trj = []\n",
+ "pred_trj = []\n",
+ "for i in range(200):\n",
+ " loss, pred = update_weights(net, optimizer, loss_function, input_data, labels)\n",
+ " loss_trj.append(loss)\n",
+ " pred_trj.append(pred)\n",
+ "loss_trj = stack(loss_trj, spatial('iteration'))\n",
+ "pred_trj = stack(pred_trj, batch('iteration'))\n",
+ "plot(math.mean(loss_trj, 'x,y'), err=math.std(loss_trj, 'x,y'), size=(4, 3))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "We can now visualize how the prediction changes during training."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ " \n",
+ " Your browser does not support the video tag.\n",
+ " "
+ ],
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 11,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "pred_grid = rename_dims(pred_trj.iteration[::4], 'x,y', spatial)\n",
+ "plot(pred_grid, animate='iteration', size=(6, 5))"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "phiflow2",
+ "language": "python",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.8.5"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
diff --git a/examples/optim/Optimize_Throw.ipynb b/examples/optim/Optimize_Throw.ipynb
new file mode 100644
index 000000000..2632d8f88
--- /dev/null
+++ b/examples/optim/Optimize_Throw.ipynb
@@ -0,0 +1,1104 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Optimize Throw\n",
+ "\n",
+ "[![Google Collab Book](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/tum-pbs/PhiFlow/blob/develop/examples/optim/Learn_Throwing.ipynb)\n",
+ "\n",
+ "This example uses automatic differentiation to find the optimal initial velocity in order to hit a target location.\n",
+ "\n",
+ "There is a related demo that trains neural networks to learn this task."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "%pip install --quiet phiflow\n",
+ "from phi.torch.flow import *\n",
+ "# from phi.flow import * # If JAX is not installed. You can use phi.torch or phi.tf as well."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Let's write a function that computes the hit position given the initial position, velocity and angle of attack."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "'Starting at x=10, height=1 with velocity=1, angle=0 -> hit at x=\\x1b[94m11.414213\\x1b[0m'"
+ ]
+ },
+ "execution_count": 3,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "def simulate_hit(pos, height, vel, angle, gravity=1.):\n",
+ " vel_x, vel_y = math.cos(angle) * vel, math.sin(angle) * vel\n",
+ " height = math.maximum(height, .01)\n",
+ " hit_time = (vel_y + math.sqrt(vel_y**2 + 2 * gravity * height)) / gravity\n",
+ " return pos + vel_x * hit_time, hit_time, height, vel_x, vel_y\n",
+ "\n",
+ "f\"Starting at x=10, height=1 with velocity=1, angle=0 -> hit at x={simulate_hit(10, 1, 1, 0)[0]}\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "To plot the trajectories, we define `sample_trajectory`."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ " \n",
+ " Your browser does not support the video tag.\n",
+ " "
+ ],
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 4,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "def sample_trajectory(pos, height, vel, angle, gravity=1., steps=spatial(time=100)):\n",
+ " _, hit_time, height, vel_x, vel_y = simulate_hit(pos, height, vel, angle, gravity)\n",
+ " t = math.linspace(0, hit_time, steps)\n",
+ " return vec(x=pos + vel_x * t, y=height + vel_y * t - gravity / 2 * t ** 2)\n",
+ "\n",
+ "angles = vec('angle', -1, -.5, 0, .5, 1, 1.5)\n",
+ "trj = sample_trajectory(10, 1, 1, angles)\n",
+ "plot(trj.time.rename('const'), trj, title=\"Varying Angle\", animate='time', overlay='args', color=math.range(angles.shape), frame_time=40)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Let's perform a classical optimization using gradient descent in the initial velocity `vel`. We need to define a loss function to optimize and get its derivative."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "@jit_compile\n",
+ "def loss_function(pos, height, vel, angle, target):\n",
+ " return math.l2_loss(simulate_hit(pos, height, vel, angle)[0] - target)\n",
+ "\n",
+ "grad_fun = math.gradient(loss_function, wrt='vel', get_output=False)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Next, we define the gradient descent step and optimize for the velocity while keeping the other arguments fixed."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 26,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "c:\\phd\\phiflow2\\phiml\\phiml\\math\\_functional.py:600: RuntimeWarning: Using torch for gradient computation because numpy does not support jacobian()\n",
+ " warnings.warn(f\"Using {math.default_backend()} for gradient computation because {key.backend} does not support jacobian()\", RuntimeWarning)\n"
+ ]
+ }
+ ],
+ "source": [
+ "def gradient_descent_step(vel, pos, height, angle, target, step_size=.1):\n",
+ " return vel - step_size * grad_fun(pos, height, vel, angle, target)\n",
+ "\n",
+ "fixed = dict(pos=0, height=1, angle=0)\n",
+ "vel_trj = iterate(gradient_descent_step, batch(iter=25), 1., target=10, **fixed)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Now we can plot how `vel` changes during the optimization."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 27,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 27,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": "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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plot(vel_trj.iter.as_spatial(), size=(3, 3), title=\"Change in Vel\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Let's visualize the corresponding trajectories!"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 30,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "c:\\phd\\phiflow2\\phi\\vis\\_vis_base.py:507: UserWarning: bounds argument is deprecated since 2.5 and will be ignored.\n",
+ " return PointCloud(math.expand(obj, instance(points=1)), bounds=Cuboid(obj, half_size=math.const_vec(1e-3, obj.shape['vector'])).box())\n"
+ ]
+ },
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ " \n",
+ " Your browser does not support the video tag.\n",
+ " "
+ ],
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 30,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "trj = sample_trajectory(vel=vel_trj, **fixed)\n",
+ "plot(trj, vec(x=10, y=0), overlay='args', animate='iter', title=\"Ball trajectory and target\", size=(9, 2))"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "phiflow2",
+ "language": "python",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.8.5"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
diff --git a/examples/particles/Gravity.ipynb b/examples/particles/Gravity.ipynb
new file mode 100644
index 000000000..d23bf89e4
--- /dev/null
+++ b/examples/particles/Gravity.ipynb
@@ -0,0 +1,641 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Gravity\n",
+ "\n",
+ "[![Google Collab Book](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/tum-pbs/PhiFlow/blob/develop/examples/partices/Gravity.ipynb)\n",
+ "\n",
+ "This example simulates Newtonian gravity between planets."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "%pip install --quiet phiflow\n",
+ "from phi.jax.flow import *\n",
+ "# from phi.flow import * # If JAX is not installed. You can use phi.torch or phi.tf as well."
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Let's define the initial positions for our planets.\n",
+ "We stack the position vectors of the planets a long a new [*instance*](https://tum-pbs.github.io/PhiFlow/Math.html#shapes) dimension we call *planets*.\n",
+ "ΦFlow also allows us to name the individual elements along that dimension. These names are part of the shape and will be present on all tensors derived from `x` that have this dimension."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 18,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "c:\\phd\\phiflow2\\phiml\\phiml\\backend\\_backend.py:1632: RuntimeWarning: invalid value encountered in power\n",
+ " return base ** exp\n"
+ ]
+ },
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 18,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "x0 = stack({\n",
+ " 'Sun': vec(x=0, y=0),\n",
+ " 'Earth': vec(x=-10, y=0),\n",
+ " 'Mars': vec(x=0, y=12)}, instance('planets'))\n",
+ "mass = wrap([1000, 10, 10], instance(x0))\n",
+ "color = wrap(['#fcd700', '#006dfc', '#fc2e00'], instance(x0))\n",
+ "plot(Sphere(x0, radius=mass**(1/3)*.15), color=color)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Next, we define the simulation step, advancing `x` and `v` in time by $\\Delta t$.\n",
+ "The acceleration is given by $a = G \\cdot \\sum_i \\frac{m_i \\cdot \\vec r_i}{r_i^3}$.\n",
+ "Inside the step, `math.pairwise_distances` computes all body-body distance vectors, adding a new dual dimension called `~planets`."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "@jit_compile\n",
+ "def step(x, v, dt=.5):\n",
+ " dx = math.pairwise_differences(x)\n",
+ " a = .01 * math.sum(math.safe_div(mass.planets.as_dual() * dx, math.vec_squared(dx) ** 1.5), '~planets')\n",
+ " return x + v * dt, v + a * dt"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Let's run the simulation. We set the initial velocity to be perpendicular to the position from the sun, so planets are on a circular orbit."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 20,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ " \n",
+ " Your browser does not support the video tag.\n",
+ " "
+ ],
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 20,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "v0 = math.safe_div(math.rotate_vector(x0, PI/2), math.vec_length(x0))\n",
+ "x_trj, v_trj = iterate(step, batch(time=100), tensor(x0), v0)\n",
+ "plot(Sphere(x_trj, radius=mass**(1/3)*.2), color=color, animate='time')"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "phiflow2",
+ "language": "python",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.8.5"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
diff --git a/examples/particles/Ropes.ipynb b/examples/particles/Ropes.ipynb
new file mode 100644
index 000000000..8ac560be5
--- /dev/null
+++ b/examples/particles/Ropes.ipynb
@@ -0,0 +1,9325 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Ropes\n",
+ "\n",
+ "[![Google Collab Book](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/tum-pbs/PhiFlow/blob/develop/examples/partices/Ropes.ipynb)\n",
+ "\n",
+ "This example simulates ropes as nodes connected by slightly deformable sticks."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "%pip install --quiet phiflow\n",
+ "from phi.jax.flow import *\n",
+ "# from phi.flow import * # If JAX is not installed. You can use phi.torch or phi.tf as well.\n",
+ "from tqdm.notebook import trange"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "We start by scattering nodes as a jittered grid and setting some of them as fixed points while the rest will be able to move."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 50,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 50,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "grid = CenteredGrid(0, x=20, y=20, bounds=Box(x=1, y=1))\n",
+ "x = pack_dims(grid.points, 'x,y', instance('nodes'))\n",
+ "x += math.random_uniform(x.shape) * .01\n",
+ "fixed_indices = vec(nodes=[399, 19, 199, 239, 0])\n",
+ "fixed = math.scatter(math.zeros(instance(x), dtype=bool), fixed_indices, True)\n",
+ "plot(PointCloud(x, fixed), size=(4, 3))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "We represent our rope system using a `Graph` whose edges encode the stick lengths.\n",
+ "The sticks are represented by the graph's edge matrix, which we store in sparse COO format here. "
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 54,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 54,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "deltas = math.pairwise_differences(x, max_distance=grid.dx.mean * 1.1, format='coo')\n",
+ "distances = math.vec_length(deltas)\n",
+ "graph = geom.Graph(x, distances, {}, deltas, distances)\n",
+ "plot(graph)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Now let's define the simulation!\n",
+ "After handling the gravity and velocity updates, we perform a fixed number of relaxation steps.\n",
+ "\n",
+ "Each relaxation step shifts the node positions in order to reduce stretching or squishing of the sticks.\n",
+ "To do this, we first compute the stick centers and directions.\n",
+ "For an unstretched stick, the node position must be half the stick's length away from its center along the stick's direction.\n",
+ "For nodes with multiple connected sticks, we compute the ideal node position for each stick, and then average the so-obtained positions."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 61,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "@jit_compile\n",
+ "def step(graph: geom.Graph, v, dt=1., gravity=vec(x=0, y=-0.01), relaxation_steps=50):\n",
+ " v += gravity * dt\n",
+ " x = graph.center + math.where(fixed, 0, dt * v)\n",
+ " for _ in range(relaxation_steps):\n",
+ " deltas = math.pairwise_differences(x, format=graph.edges)\n",
+ " stick_centers = x + .5 * deltas\n",
+ " stick_directions = math.vec_normalize(deltas, epsilon=1e-5)\n",
+ " next_x = stick_centers - stick_directions * .5 * graph.edges\n",
+ " next_x = math.mean(next_x, dual)\n",
+ " x = math.where(fixed, x, next_x)\n",
+ " v = (x - graph.center) / dt\n",
+ " return geom.Graph(x, graph.edges, {}), v"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 62,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "v0 = math.zeros_like(x)\n",
+ "graph_trj, v_trj = iterate(step, batch(time=50), graph, v0, substeps=2)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 63,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "c:\\phd\\phiflow2\\phiml\\phiml\\math\\_tensors.py:427: SyntaxWarning: Indexing without item names is not recommended. Got indices (entriesⁱ=1311)\n",
+ " return gather(self, item)\n"
+ ]
+ },
+ {
+ "data": {
+ "text/html": [
+ "\n",
+ " \n",
+ " Your browser does not support the video tag.\n",
+ " "
+ ],
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 63,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "plot(graph_trj, animate='time')"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "phiflow2",
+ "language": "python",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.8.5"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
diff --git a/examples/particles/Streamlines.ipynb b/examples/particles/Streamlines.ipynb
new file mode 100644
index 000000000..050cc2546
--- /dev/null
+++ b/examples/particles/Streamlines.ipynb
@@ -0,0 +1,215 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Streamlines\n",
+ "\n",
+ "[![Google Collab Book](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/tum-pbs/PhiFlow/blob/develop/examples/particles/Streamlines.ipynb)\n",
+ "\n",
+ "This example shows how to manually trace stream lines through a vector field."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "%pip install --quiet phiflow\n",
+ "from phi.jax.flow import *\n",
+ "# from phi.flow import * # If JAX is not installed. You can use phi.torch or phi.tf as well.\n",
+ "from tqdm.notebook import trange"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "We start by creating a divergence-free vector field `v`."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 2,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "domain = Box(x=10, y=10)\n",
+ "v = StaggeredGrid(Noise(vector='x,y'), 0, domain, x=256, y=256)\n",
+ "v, _ = fluid.make_incompressible(v)\n",
+ "plot(v.at_centers().downsample(8).as_points(), size=(4, 3))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Now we can define a function that moves a point along the vector field."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "@jit_compile\n",
+ "def move_along_field(x, step_size=.1):\n",
+ " return advect.points(geom.Point(x), v, step_size, integrator=advect.rk4).center"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Let's check whether our curve matches Matplotlib's stream plot."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stderr",
+ "output_type": "stream",
+ "text": [
+ "c:\\phd\\phiflow2\\phiml\\phiml\\math\\_functional.py:252: RuntimeWarning: jit_copmile() not supported by numpy. Running function 'move_along_field' as-is.\n",
+ " warnings.warn(f\"jit_copmile() not supported by {key.backend}. Running function '{f_name(self.f)}' as-is.\", RuntimeWarning)\n"
+ ]
+ },
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 4,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "x0 = vec(x=5, y=5)\n",
+ "x_trj = iterate(move_along_field, spatial(iter=50), x0)\n",
+ "plot([v, x_trj], overlay='list', alpha=[.1, 1])"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "To get a fuller picture of the velocity field, we sample multiple trajectories, starting at equally-spaced grid points."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "x0 = pack_dims(CenteredGrid(0, 0, domain, x=8, y=8).points, spatial, instance('start_point'))\n",
+ "x_trj = iterate(move_along_field, spatial(iter=50), x0)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Let's plot this and assign each line a color depending on its total length!"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 6,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "v = x_trj.iter[1:] - x_trj.iter[:-1]\n",
+ "distance = math.sum(math.vec_length(v), 'iter')\n",
+ "plot(x_trj, color=distance)"
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "phiflow2",
+ "language": "python",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.8.5"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}