{ "cells": [ { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "# Basis functions and collocation nodes" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "DESC is a pseudo-spectral code, where the independent variables $R$, $Z$, $\\lambda$ as well as parameters such as the plasma boundary and profiles are represented by spectral basis functions, but are interpolated to a grid of collocation nodes in real space to perform nonlinear calculations.\n", "\n", "This notebook is a brief primer on the different basis functions and types of collocation grids that are available." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "nbsphinx": "hidden", "pycharm": { "name": "#%%\n" } }, "outputs": [], "source": [ "import sys\n", "import os\n", "\n", "sys.path.insert(0, os.path.abspath(\".\"))\n", "sys.path.append(os.path.abspath(\"../../\"))" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [], "source": [ "%matplotlib inline\n", "from desc.basis import (\n", " PowerSeries,\n", " FourierSeries,\n", " DoubleFourierSeries,\n", " FourierZernikeBasis,\n", ")\n", "from desc.grid import LinearGrid, ConcentricGrid, QuadratureGrid\n", "from desc.plotting import plot_grid, plot_basis" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "## Basis functions\n", "\n", "Each basis function has several attributes and methods, including `basis.modes`, which is a $k \\times 3$ ndarray, where $k$ is the total number of basis functions, and each row is the mode numbers for a specific basis function `[l,m,n]` (the radial, poloidal, and toroidal mode numbers respectively).\n", "\n", "Another important method is `basis.evaluate(nodes, derivatives)` which evaluates the basis function or its derivatives at a set of nodes." ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "### Power Series\n", "\n", "Profiles such as pressure $p$ and rotational transform $\\iota$ are specified in terms of power series in $\\rho$ where $\\rho = \\sqrt{\\cfrac{\\psi}{\\psi_{LCFS}}}$ is the square root of the normalized toroidal flux:\n", "\n", "$$f(\\rho) = \\sum_{l=0}^L a_l \\rho^l$$\n", "\n", "A `PowerSeries` is parameterised by a non-negative integer `L`, the maximum radial mode number. " ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "power_series = PowerSeries(L=5)\n", "plot_basis(power_series);" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "### Fourier Series\n", "\n", "The magnetic axis is given as a Fourier series in the normalized toroidal angle $N_{FP}\\zeta$\n", "\n", "$$\n", " \\mathcal{F}_{n}(\\zeta) = \\begin{cases}\n", " \\cos(|n|N_{FP}\\zeta) &\\text{for }n\\ge0 \\\\[.2cm]\n", " \\sin(|n|N_{FP}\\zeta) &\\text{for }n<0. \\\\\n", " \\end{cases}\n", "$$\n", "\n", "The Fourier coefficients of a function $f(\\zeta)$ are given by:\n", "\n", "$$\n", " f_{n} = \\frac{\\alpha}{2\\pi} \\int_{0}^{2\\pi} f(\\zeta) \\mathcal{F}_{n}(\\zeta) d\\zeta\n", "$$\n", "\n", "$$\n", " \\alpha = \\begin{cases}\n", " 0 &\\text{for }n=0 \\\\ \n", " 2 &\\text{for }n\\ne 0. \\\\\n", " \\end{cases}\n", "$$\n", "\n", "A `FourierSeries` is parameterized by a non-negative integer `N`, the maximum absolute value of the toroidal mode number and a positive integer `NFP`, the number of field periods. The basis will have mode numbers $n \\in \\{-N...N\\}$. You can also specify the optional argument `sym` to be one of `cos` or `sin` to impose $\\cos(m\\theta - n\\zeta)$ or $\\sin(m\\theta - n\\zeta)$ symmetry." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fourier_series = FourierSeries(N=2, NFP=1)\n", "plot_basis(fourier_series);" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "### Double Fourier Series\n", "\n", "A double Fourier series in the poloidal angle $\\theta$ and the normalized toroidal angle $N_{FP}\\zeta$ is used to specify the shape of the plasma boundary on the last closed flux surface. \n", "\n", "$$\n", " \\mathcal{G}^{m}_{n}(\\theta,\\zeta) = \\begin{cases}\n", " \\cos(|m|\\theta)\\cos(|n|N_{FP}\\zeta) &\\text{for }m\\ge0, n\\ge0 \\\\[.2cm]\n", " \\cos(|m|\\theta)\\sin(|n|N_{FP}\\zeta) &\\text{for }m\\ge0, n<0 \\\\[.2cm]\n", " \\sin(|m|\\theta)\\cos(|n|N_{FP}\\zeta) &\\text{for }m<0, n\\ge0 \\\\[.2cm]\n", " \\sin(|m|\\theta)\\sin(|n|N_{FP}\\zeta) &\\text{for }m<0, n<0.\n", " \\end{cases}\n", "$$\n", "\n", "The Fourier coefficients of a function $f(\\theta,\\zeta)$ are given by:\n", "\n", "$$f^{m}_{n} = \\frac{\\alpha}{4\\pi^2} \\int_{0}^{2\\pi} \\int_{0}^{2\\pi} f(\\theta,\\zeta) \\mathcal{G}^{m}_{n}(\\theta,\\zeta) d\\theta d\\zeta$$\n", "\n", "$$\n", " \\alpha = \\begin{cases}\n", " 0 &\\text{for }m=0, n=0 \\\\\n", " 2 &\\text{for }m=0, n\\ne0 \\\\\n", " 2 &\\text{for }m\\ne0, n=0 \\\\\n", " 4 &\\text{for }m\\ne0, n\\ne0. \\\\\n", " \\end{cases}\n", "$$\n", "\n", "\n", "A `DoubleFourierSeries` is parameterized by two non-negative integers `M` and `N`, the maximum poloidal and toroidal mode numbers, a positive integer `NFP`, the number of field periods. The basis will have mode numbers $m \\in \\{-M...M\\}$ and $n \\in \\{-N...N\\}$. You can also specify the optional argument `sym` to be one of `cos` or `sin` to impose $\\cos(m\\theta - n\\zeta)$ or $\\sin(m\\theta - n\\zeta)$ symmetry." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "double_fourier = DoubleFourierSeries(M=1, N=2, NFP=5)\n", "plot_basis(double_fourier);" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "### Zernike Polynomials and Fourier-Zernike basis\n", "\n", "The flux surface positions $R(\\rho,\\theta,\\zeta)$, $Z(\\rho,\\theta,\\zeta)$ and stream function $\\lambda(\\rho,\\theta,\\zeta)$ are represented by a combined Fourier-Zernike basis, with a standard Fourier series in the toroidal direction and a Zernike polynomial in the $(\\rho,\\theta)$ plane.\n", "\n", "Zernike polynomials are a set of 2d orthogonal basis functions on the unit disc and are ideal for toroidal equilibria as they automatically satisfy the necessary regularity conditions at the magnetic axis.\n", "\n", "The Zernike polynomials are given by:\n", "$$\n", " \\mathcal{Z}^{m}_{l}(\\rho,\\theta) = \\begin{cases}\n", " \\mathcal{R}^{|m|}_l (\\rho) \\cos(|m|\\theta) &\\text{for }m\\ge0 \\\\[.2cm]\n", " \\mathcal{R}^{|m|}_l (\\rho) \\sin(|m|\\theta) &\\text{for }m\\lt0 \\\\\n", " \\end{cases}\n", "$$\n", "\n", "where the radial part can be written as:\n", "\n", "$$\n", " \\mathcal{R}_l^{|m|} (\\rho) = \\sum_{s=0}^{(l-|m|)/2} \\frac{(-1)^s(l-s)!}{ s!\\left( \\cfrac{l+|m|}{2} - s\\right)! \\left( \\cfrac{l-|m|}{2} - s\\right)! }\\hspace{0.1cm} \\rho^{l-2s} \\hspace{1cm} \\text{for } m\\geq0 \n", "$$\n", "\n", "The Fourier-Zernike basis functions are then,\n", "\n", "$$\n", " \\mathcal{Z}_l^m (\\rho,\\theta) \\mathcal{F}^n(\\zeta) = \\begin{cases}\n", " \\mathcal{R}_l^{|m|}(\\rho) \\hspace{0.1cm} cos(|m|\\theta) \\hspace{0.1cm} cos(|n|N_{FP}\\zeta) \\hspace{1cm}& \\text{for } m\\geq0 \\text{ and } n\\geq0\\\\[.1cm]\n", " \\mathcal{R}_l^{|m|}(\\rho) \\hspace{0.1cm} cos(|m|\\theta) \\hspace{0.1cm} sin(|n|N_{FP}\\zeta) \\hspace{1cm}& \\text{for } m\\geq0 \\text{ and } n<0\\\\[.1cm]\n", " \\mathcal{R}_l^{|m|}(\\rho) \\hspace{0.1cm} sin(|m|\\theta) \\hspace{0.1cm} cos(|n|N_{FP}\\zeta) \\hspace{1cm}& \\text{for } m<0 \\text{ and } n\\geq0\\\\[.1cm]\n", " \\mathcal{R}_l^{|m|}(\\rho) \\hspace{0.1cm} sin(|m|\\theta) \\hspace{0.1cm} sin(|n|N_{FP}\\zeta) \\hspace{1cm}& \\text{for } m<0 \\text{ and } n<0\\\\[.1cm]\n", " \\end{cases}\n", "$$\n", "\n", "A `FourierZernikeBasis` is initialized with 3 non-negative integers `L`. `M`, and `N` specifying the radial, poloidal, and toroidal resolution respectively, along with a positive integer `NFP` for the number of fields periods. It also accepts the same `sym` parameter as the Fourier basis functions for imposing stellarator symmetry. \n", "\n", "Note that due to the way the Zernike basis couples radial and poloidal modes, the radial resolution `L` is not the maximum radial mode number, but instead the maximum difference between radial mode number `l` and poloidal mode number `m`.\n", "Additionally, the Zernike basis functions also accept an argument `spectral_indexing` (one of `ansi` or `fringe`) which controls how the Zernike pyramid is filled in. For `L=0` both methods are equivalent, but for high values of `L` they differ somewhat, with `fringe` indexing generally giving higher radial resolution for a given poloidal resolution. " ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ansi_zern0 = FourierZernikeBasis(L=0, M=3, N=0, spectral_indexing=\"ansi\")\n", "plot_basis(ansi_zern0);" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ansi_zern3 = FourierZernikeBasis(L=3, M=3, N=0, spectral_indexing=\"ansi\")\n", "plot_basis(ansi_zern3);" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fringe_zern3 = FourierZernikeBasis(L=3, M=3, N=0, spectral_indexing=\"fringe\")\n", "plot_basis(fringe_zern3);" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ansi_zern8 = FourierZernikeBasis(L=8, M=3, N=0, spectral_indexing=\"ansi\")\n", "plot_basis(ansi_zern8);" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fringe_zern8 = FourierZernikeBasis(L=8, M=3, N=0, spectral_indexing=\"fringe\")\n", "plot_basis(fringe_zern8);" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "## Collocation grids\n", "\n", "The two primary attributes of any grid are `grid.nodes` and `grid.weights`.\n", "\n", "`grid.nodes` is a $k \\times 3$ array of the node locations in flux coordinates $(\\rho,\\theta,\\zeta)$\n", "\n", "`grid.weights` is a $k \\times 1$ array giving approximate or exact quadrature weights for each node." ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "### Linear Grid\n", "\n", "The simplest collocation grid is one that is linearly spaced in all coordinates $(\\rho,\\theta,\\zeta)$. It accepts 3 non-negative integer arguments in two different formats: \n", "\n", "* `L`, `M`, `N` specify the spectral resolution in each dimension. For example, `L=4` would give 5 radial grid points corresponding to a polynomial up to order $\\rho^4$. `M=2` would give 5 poloidal grid points corresponding to the 5 Fourier basis functions up to order $\\sin(2\\theta)$ and $\\cos(2\\theta)$. \n", "\n", "* `rho`, `theta`, `zeta` directly specify the number of linearly spaced grid points in each dimension, if passed as integers. Alternatively, these inputs can be used to manually specify the arrays of nodes. \n", "\n", "The number of field periods is also input as a positive integer `NFP`. \n", "\n", "The `weights` attribute for the linear grid is based on the spacing between nodes: $w_j = d\\rho_j d\\theta_j d\\zeta_j$\n", "\n", "A linear grid is mostly used for plotting and other analysis, but is generally inefficient and inaccurate when used to solve the objective." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "linear_grid = LinearGrid(L=10, M=4, N=0)\n", "plot_grid(linear_grid);" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "### Quadrature Grid\n", "\n", "The quadrature grid is designed to exactly integrate the Fourier-Zernike basis functions. The poloidal and toroidal nodes are the standard Fourier pattern, while the radial positions are the roots of shifted Jacobi polynomials, which cluster points near the edge and axis. The `weights` attribute provides the exact quadrature weights.\n", "\n", "A `QuadratureGrid` is initialized with 3 non-negative integers `L`, `M`, `N` which are the order of the basis functions that the grid should integrate exactly, and a positive integer `NFP` giving the number of field periods. The number of nodes will be $(L+1)(2M+1)(2N+1)$\n", "\n", "While the quadrature grid is in most cases the most accurate, it does so at the expense of using a relatively large number of nodes. For most purposes the concentric grids (see below) offer better performance." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "quad = QuadratureGrid(L=10, M=10, N=0)\n", "plot_grid(quad);" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "### Concentric grids\n", "\n", "Concentric grids are designed to be efficient when solving the force balance equations, with the number of poloidal modes proportional to the distance from the axis so that each node occupies roughly the same volume in straight field line space. The `weights` attribute uses local volume elements to approximate quadrature weights in a similar way to the `LinearGrid`. For a given resolution, a concentric grid will use roughly half the nodes of a quadrature grid.\n", "\n", "\n", "A `ConcentricGrid` is initialized with three non-negative integers `L`, `M` and `N`, the resolution of the basis functions to integrate, and a positive integer `NFP` giving the number of field periods. Optionally, a `node_pattern` can be given to specify the pattern for the radial nodes \n", "\n", "There are 3 options for `node_pattern`:\n", "\n", "- `jacobi` (default) uses the roots of the shifted jacobi polynomials and concentrates nodes near the edge and axis\n", "- `cheb1` uses the roots of the Chebyshev-Gauss-Lobatto nodes scaled to $\\rho$=[0,1], which concentrates nodes near the edge and the axis\n", "- `cheb2` uses the roots of the Chebyshev-Gauss-Lobatto nodes scaled to $\\rho$=[-1,1], which concentrates nodes at the edge\n", "- `ocs` uses the node pattern from [1] designed to minimize the condition number of the interpolation matrix, used for fitting data back to a Zernike basis\n", "\n", "[1] Ramos-Lopez, et al. “Optimal Sampling Patterns for Zernike Polynomials.” Applied Mathematics and Computation 274 (February 2016): 247–57. https://doi.org/10.1016/j.amc.2015.11.006.\n" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "jacobi = ConcentricGrid(L=10, M=10, N=0, node_pattern=\"jacobi\")\n", "plot_grid(jacobi);" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cheb1 = ConcentricGrid(L=10, M=10, N=0, node_pattern=\"cheb1\")\n", "plot_grid(cheb1);" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cheb2 = ConcentricGrid(L=10, M=10, N=0, node_pattern=\"cheb2\")\n", "plot_grid(cheb2);" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cheb2 = ConcentricGrid(L=10, M=10, N=0, node_pattern=\"ocs\")\n", "plot_grid(cheb2);" ] } ], "metadata": { "kernelspec": { "display_name": "desc-env", "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": "3.12.7" } }, "nbformat": 4, "nbformat_minor": 4 }