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heading(numbering: (..nums)=>"") + +#show: slides.with( + title: "N-Body project ", + subtitle: "Computational Astrophysics, HS24", + date: "04.02.2024", + authors: ("Rémy Moll"), + toc: false, + // layout: "large", +) + + + + + +// Helpers for code block displaying + +#let cell_matcher(cell, cell_tag) = { + if cell.cell_type != "code" { + return false + } + let metadata = cell.metadata + if metadata.keys().contains("tags") == false { + return false + } + + return cell.metadata.tags.contains(cell_tag) +} + +#let code_cell(fcontent, cell_tag) = { + let cells = fcontent.cells + let matching_cell = cells.find(x => cell_matcher(x, cell_tag)) + + let cell_content = matching_cell.source + // format the cell content + let single_line = cell_content.fold("", (acc, x) => acc + x) + + text( + raw( + single_line, + lang: "python", + block: true + ), + size: 0.8em + ) +} + + + +#let image_cell(fcontent, cell_tag) = { + let cells = fcontent.cells + let matching_cell = cells.find(x => cell_matcher(x, cell_tag)) + + let outputs = matching_cell.outputs + for output in outputs { + let image_data = output.at("data", default: (:)).at("image/png", default: none) + if image_data != none { + align( + center, + image.decode( + base64.decode(image_data), + // format: "png", + height: 70% + ) + ) + } + } +} + + +// Where is the code? +#let t1 = json("../task1.ipynb") +#let t2 = json("../task2-particle-mesh.ipynb") + + + +// Content += N-body forces and analytical solutions + +== Objective +Implement naive N-body force computation and get an intuition of the challenges: +- accuracy +- computation time +- stability + +$=>$ still useful to compute basic quantities of the system, but too limited for large systems or the dynamical evolution of the system + + +== Overview - the system +Get a feel for the particles and their distribution. [Code at @task1:plot_particle_distribution[]] +#image_cell(t1, "plot_particle_distribution") + +#code_cell(t1, "plotting") + +== Inspecting the data +#code_cell(t2, "plotting") + +#image_cell(t2, "plotting") + + +== Density +Some images about the density + +== N Body and variations +sdsd + +== Relaxation +sd + + += Default Styling in diatypst + +== Terms, Code, Lists + +_diatypst_ defines some default styling for elements, e.g Terms created with ```typc / Term: Definition``` will look like this + +/ *Term*: Definition + +A code block like this + +```python +// Example Code +print("Hello World!") +``` + +Lists have their marker respect the `title-color` + +#columns(2)[ + - A + - AAA + - B + #colbreak() + 1. AAA + 2. BBB + 3. CCC +] + + + + += Appendix - Code +== Code + +#code_cell(t1, "plot_particle_distribution") diff --git a/nbody/task1.ipynb b/nbody/task1.ipynb index 92c2aae..284587f 100644 --- a/nbody/task1.ipynb +++ b/nbody/task1.ipynb @@ -43,7 +43,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "21:30:09 - utils.load - Loaded 50010 rows and 10 columns from data/data.txt\n" + "17:34:01 - utils.load - Loaded 50010 rows and 10 columns from data/data.txt\n" ] } ], @@ -99,15 +99,29 @@ { "cell_type": "code", "execution_count": 5, - "metadata": {}, + "metadata": { + "tags": [ + "plot_particle_distribution" + ] + }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "21:30:11 - task1 - Considering a globular cluster - total mass of particles: 4622219.258999999, maximum radius of particles: 724.689657812915\n", - "21:30:11 - utils.units - Set scales: M_SCALE = 0.022 solMass, R_SCALE = 0.028 pc\n" + "17:34:05 - task1 - Considering a globular cluster - total mass of particles: 4622219.258999999, maximum radius of particles: 724.689657812915\n", + "17:34:05 - utils.units - Set scales: M_SCALE = 0.022 solMass, R_SCALE = 0.028 pc\n" ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "

" + ] + }, + "metadata": {}, + "output_type": "display_data" } ], "source": [ @@ -129,20 +143,21 @@ "\n", "\n", "\n", - "# ### Plot again with scales\n", - "# positions = utils.apply_units(particles[:, :3], \"position\")\n", - "# masses = utils.apply_units(particles[:, 3], \"mass\")\n", - "# fig = plt.figure()\n", - "# ax = fig.add_subplot(111, projection='3d')\n", - "# sc = ax.scatter(positions[:,0], positions[:,1], positions[:,2], cmap='viridis', c=masses)\n", - "#\n", - "# ax.set_xlabel(f'x [{positions.unit}]')\n", - "# ax.set_ylabel(f'y [{positions.unit}]')\n", - "# ax.set_zlabel(f'z [{positions.unit}]')\n", - "# cbar = plt.colorbar(sc, ax=ax, pad=0.1)\n", - "# cbar.set_label(f'Mass [{masses.unit}]')\n", - "#\n", - "# plt.show()" + "### Plot again with scales\n", + "reduced = utils.remove_outliers(particles.copy())\n", + "positions = utils.apply_units(reduced[:, :3], \"position\")\n", + "masses = utils.apply_units(reduced[:, 3], \"mass\")\n", + "fig = plt.figure()\n", + "ax = fig.add_subplot(111, projection='3d')\n", + "sc = ax.scatter(positions[:,0], positions[:,1], positions[:,2], cmap='viridis', c=masses)\n", + "\n", + "ax.set_xlabel(f'x [{positions.unit}]')\n", + "ax.set_ylabel(f'y [{positions.unit}]')\n", + "ax.set_zlabel(f'z [{positions.unit}]')\n", + "cbar = plt.colorbar(sc, ax=ax, pad=0.1)\n", + "cbar.set_label(f'Mass [{masses.unit}]')\n", + "\n", + "plt.show()" ] }, { @@ -201,7 +216,11 @@ { "cell_type": "code", "execution_count": 7, - "metadata": {}, + "metadata": { + "tags": [ + "plotting" + ] + }, "outputs": [ { "name": "stderr", diff --git a/nbody/task2-particle-mesh.ipynb b/nbody/task2-particle-mesh.ipynb index 8f20cc0..ece4c4c 100644 --- a/nbody/task2-particle-mesh.ipynb +++ b/nbody/task2-particle-mesh.ipynb @@ -258,7 +258,11 @@ { "cell_type": "code", "execution_count": 7, - "metadata": {}, + "metadata": { + "tags": [ + "plotting" + ] + }, "outputs": [ { "data": { @@ -385,7 +389,11 @@ { "cell_type": "code", "execution_count": 10, - "metadata": {}, + "metadata": { + "tags": [ + "kjhfsdf" + ] + }, "outputs": [], "source": [ "def integrate(method: str, force_function: callable, p0: np.ndarray, t_range: np.ndarray) -> np.ndarray:\n", diff --git a/nbody/utils/solver_mesh.py b/nbody/utils/solver_mesh.py new file mode 100644 index 0000000..56c308e --- /dev/null +++ b/nbody/utils/solver_mesh.py @@ -0,0 +1,89 @@ +## Implementation of a mesh based full solver with boundary conditions etc. +import numpy as np +from . import mesh_forces +import logging +logger = logging.getLogger(__name__) + + +def mesh_solver( + particles: np.ndarray, + G: float, + mapping: callable, + n_grid: int, + bounds: tuple = (-1, 1), + boundary: str = "vanishing", + ) -> np.ndarray: + """ + Computes the gravitational force acting on a set of particles using a mesh-based approach. The mesh is of fixed size: n_grid x n_grid x n_grid spanning the given bounds. Particles reaching the boundary are treated according to the boundary condition. + Args: + - particles: np.ndarray, shape=(n, 4). Assumes that the particles array has the following columns: x, y, z, m. + - G: float, the gravitational constant. + - mapping: callable, the mapping function to use. + - n_grid: int, the number of grid points in each direction. + - bounds: tuple, the bounds of the mesh. + - boundary: str, the boundary condition to apply. + """ + if particles.shape[1] != 4: + raise ValueError("Particles array must have 4 columns: x, y, z, m") + + logger.debug(f"Computing forces for {particles.shape[0]} particles using mesh [mapping={mapping.__name__}, {n_grid=}]") + + # the function is fine, let's abuse it somewhat + + axis = np.linspace(bounds[0], bounds[1], n_grid) + mesh = np.zeros((n_grid, n_grid, n_grid)) + spacing = np.abs(axis[1] - axis[0]) + logger.debug(f"Using mesh spacing: {spacing}") + + + # Check that the boundary condition is fullfilled + if boundary == "periodic": + raise NotImplementedError("Periodic boundary conditions are not implemented yet") + elif boundary == "vanishing": + # remove the particles that are outside the mesh + outlier_mask = particles[:, :3] < bounds[0] | particles[:, :3] > bounds[1] + + if np.any(outlier_mask): + logger.warning(f"Removing {np.sum(outlier_mask)} particles that are outside the mesh") + particles = particles[~outlier_mask] + logger.debug(f"New particles shape: {particles.shape}") + else: + raise ValueError(f"Unknown boundary condition: {boundary}") + + + if logger.isEnabledFor(logging.DEBUG): + mesh_forces.show_mesh_information(mesh, "Density mesh") + + # compute the potential and its gradient + phi_grad = mesh_forces.mesh_poisson(rho, G, spacing) + + if logger.isEnabledFor(logging.DEBUG): + logger.debug(f"Got phi_grad with: {phi_grad.shape}, {np.max(phi_grad)}") + mesh_forces.show_mesh_information(phi_grad[0], "Potential gradient (x-direction)") + + # compute the particle forces from the mesh potential + forces = np.zeros_like(particles[:, :3]) + for i, p in enumerate(particles): + ijk = np.digitize(p, axis) - 1 + logger.debug(f"Particle {p} maps to cell {ijk}") + # this gives 4 entries since p[3] the mass is digitized as well -> this is meaningless and we discard it + # logger.debug(f"Particle {p} maps to cell {ijk}") + forces[i] = - p[3] * phi_grad[..., ijk[0], ijk[1], ijk[2]] + + return forces + + +def particles_to_mesh(particles: np.ndarray, mesh: np.ndarray, axis: np.ndarray, mapping: callable) -> None: + """ + Maps a list of particles to an existing mesh, filling it inplace + """ + if particles.shape[1] < 4: + raise ValueError("Particles array must have at least 4 columns: x, y, z, m") + + # axis provide an easy way to map the particles to the mesh + for p in particles: + m = p[-1] + # spread the star onto cells through the shape function, taking into account the mass + ijks, weights = mapping(p, axis) + for ijk, weight in zip(ijks, weights): + mesh[ijk[0], ijk[1], ijk[2]] += weight * m