{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from lbmpy.session import *" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Tutorial 03: Defining LB methods in *lbmpy*\n", "\n", "\n", "## A) General Form" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The lattice Boltzmann equation in its most general form is:\n", "\n", "$$f_q(\\mathbf{x} + \\mathbf{c}_q \\delta t, t+\\delta t) = K\\left( f_q(\\mathbf{x}, t) \\right)$$\n", "\n", "with a discrete velocity set $\\mathbf{c}_q$ (stencil) and a generic collision operator $K$.\n", "\n", "So a lattice Boltzmann method can be fully defined by picking a stencil and a collision operator. \n", "The collision operator $K$ has the following structure:\n", "- Transformation of particle distribution function $f$ into collision space. This transformation has to be invertible and may be nonlinear.\n", "- The collision operation is an convex combination of the pdf representation in collision space $c$ and some equilibrium vector $c^{(eq)}$. This equilibrium can also be defined in physical space, then $c^{(eq)} = C( f^{(eq)} ) $. The convex combination is done elementwise using a diagonal matrix $S$ where the diagonal entries are the relaxation rates.\n", "- After collision, the collided state $c'$ is transformed back into physical space\n", "\n", "![](../img/collision.svg)\n", "\n", "\n", "The full collision operator is:\n", "\n", "$$K(f) = C^{-1}\\left( (I-S)C(f) + SC(f^{(eq}) \\right)$$\n", "\n", "or\n", "\n", "$$K(f) = C^{-1}\\left( C(f) - S (C(f) - C(f^{(eq})) \\right)$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## B) Moment-based relaxation\n", "\n", "The most commonly used LBM collision operator is the multi relaxation time (MRT) collision.\n", "In MRT methods the collision space is spanned by moments of the distribution function. This is a very natural approach, since the pdf moments are the quantities that go into the Chapman Enskog analysis that is used to show that LB methods can solve the Navier Stokes equations. Also the lower order moments correspond to the macroscopic quantities of interest (density/pressure, velocity, shear rates, heat flux). Furthermore the transformation to collision space is linear in this case, simplifying the collision equations:\n", "\n", "$$K(f) = C^{-1}\\left( C(f) - S (C(f) - C(f^{(eq})) \\right)$$\n", "\n", "$$K(f) = f - \\underbrace{ C^{-1}SC}_{A}(f - f^{(eq)})$$\n", "\n", "in *lbmpy* the following formulation is used, since it is more natural to define the equilibrium in moment-space instead of physical space:\n", "\n", "$$K(f) = f - C^{-1}S(Cf - c^{(eq)})$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Use a pre-defined method\n", "\n", "Lets create a moment-based method in *lbmpy* and see how the moment transformation $C$ and the relaxation rates that comprise the diagonal matrix $S$ can be defined. We start with a function that creates a basic MRT model.\n", "Don't use this for real simulations, there orthogonalized MRT methods should be used, as discussed in the next section." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
\n", " Moment-Based Method\n", " Stencil: D2Q9Zero-Centered Storage: ✗Force Model: None
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\n", " Continuous Hydrodynamic Maxwellian Equilibrium\n", " \n", " $f (\\rho, \\left( u_{0}, \\ u_{1}\\right), \\left( v_{0}, \\ v_{1}\\right)) \n", " = \\frac{3 \\delta_{\\rho} e^{- \\frac{3 v_{0}^{2}}{2} - \\frac{3 v_{1}^{2}}{2}}}{2 \\pi} + \\frac{3 e^{- \\frac{3 \\left(- u_{0} + v_{0}\\right)^{2}}{2} - \\frac{3 \\left(- u_{1} + v_{1}\\right)^{2}}{2}}}{2 \\pi}$\n", "
Compressible: ✗Deviation Only: ✗Order: 2
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Relaxation Info
MomentEq. Value Relaxation Rate
$1$$\\rho$$\\omega$
$x$$u_{0}$$\\omega$
$y$$u_{1}$$\\omega$
$x^{2}$$\\frac{\\rho}{3} + u_{0}^{2}$$\\omega$
$y^{2}$$\\frac{\\rho}{3} + u_{1}^{2}$$\\omega$
$x y$$u_{0} u_{1}$$\\omega$
$x^{2} y$$\\frac{u_{1}}{3}$$\\omega$
$x y^{2}$$\\frac{u_{0}}{3}$$\\omega$
$x^{2} y^{2}$$\\frac{\\rho}{9} + \\frac{u_{0}^{2}}{3} + \\frac{u_{1}^{2}}{3}$$\\omega$
" ], "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from lbmpy.creationfunctions import create_lb_method\n", "lbm_config = LBMConfig(stencil=Stencil.D2Q9, method=Method.MRT_RAW, zero_centered=False)\n", "\n", "method = create_lb_method(lbm_config=lbm_config)\n", "# check also method='srt', 'trt', 'mrt'\n", "method" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The first column labeled \"Moment\" defines the collision space and thus the transformation matrix $C$.\n", "The remaining columns specify the equilibrium vector in moment space $c^{(eq)}$ and the corresponding relaxation rate.\n", "\n", "Each row of the \"Moment\" column defines one row of $C$. In the next cells this matrix and the discrete velocity set (stencil) of our method are shown. Check for example the second last row of the table $x^2 y$: In the corresponding second last row of the moment matrix $C$ where each column stands for a lattice velocity (for ordering visualized stencil below) and each entry is the expression $x^2 y$ where $x$ and $y$ are the components of the lattice velocity.\n", "\n", "In general the transformation matrix $C_{iq}$ is defined as;\n", "\n", "$$c_i = C_{iq} f_q = \\sum_q m_i(\\mathbf{c}_q)$$\n", "\n", "where $m_i(\\mathbf{c}_q)$ is the $i$'th moment polynomial where $x$ and $y$ are substituted with the components of the $q$'th lattice velocity" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/latex": [ "$\\displaystyle \\left[\\begin{matrix}1 & 1 & 1 & 1 & 1 & 1 & 1 & 1 & 1\\\\0 & 0 & 0 & -1 & 1 & -1 & 1 & -1 & 1\\\\0 & 1 & -1 & 0 & 0 & 1 & 1 & -1 & -1\\\\0 & 0 & 0 & 1 & 1 & 1 & 1 & 1 & 1\\\\0 & 1 & 1 & 0 & 0 & 1 & 1 & 1 & 1\\\\0 & 0 & 0 & 0 & 0 & -1 & 1 & 1 & -1\\\\0 & 0 & 0 & 0 & 0 & 1 & 1 & -1 & -1\\\\0 & 0 & 0 & 0 & 0 & -1 & 1 & -1 & 1\\\\0 & 0 & 0 & 0 & 0 & 1 & 1 & 1 & 1\\end{matrix}\\right]$" ], "text/plain": [ "⎡1 1 1 1 1 1 1 1 1 ⎤\n", "⎢ ⎥\n", "⎢0 0 0 -1 1 -1 1 -1 1 ⎥\n", "⎢ ⎥\n", "⎢0 1 -1 0 0 1 1 -1 -1⎥\n", "⎢ ⎥\n", "⎢0 0 0 1 1 1 1 1 1 ⎥\n", "⎢ ⎥\n", "⎢0 1 1 0 0 1 1 1 1 ⎥\n", "⎢ ⎥\n", "⎢0 0 0 0 0 -1 1 1 -1⎥\n", "⎢ ⎥\n", "⎢0 0 0 0 0 1 1 -1 -1⎥\n", "⎢ ⎥\n", "⎢0 0 0 0 0 -1 1 -1 1 ⎥\n", "⎢ ⎥\n", "⎣0 0 0 0 0 1 1 1 1 ⎦" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Transformation matrix C\n", "method.moment_matrix" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "method.stencil.plot()" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "\n", " \n", " \n", " \n", " \n", "\n", " \n", " \n", " \n", " \n", "\n", " \n", " \n", " \n", " \n", "\n", " \n", " \n", " \n", " \n", "\n", " \n", " \n", " \n", " \n", "\n", " \n", " \n", " \n", " \n", "\n", " \n", " \n", " \n", " \n", "\n", " \n", " \n", " \n", " \n", "\n", "
Nr.Direction NameDirection
$0$$\\mathtt{\\text{C}}$$\\left( 0, \\ 0\\right)$
$1$$\\mathtt{\\text{N}}$$\\left( 0, \\ 1\\right)$
$2$$\\mathtt{\\text{S}}$$\\left( 0, \\ -1\\right)$
$3$$\\mathtt{\\text{W}}$$\\left( -1, \\ 0\\right)$
$4$$\\mathtt{\\text{E}}$$\\left( 1, \\ 0\\right)$
$5$$\\mathtt{\\text{NW}}$$\\left( -1, \\ 1\\right)$
$6$$\\mathtt{\\text{NE}}$$\\left( 1, \\ 1\\right)$
$7$$\\mathtt{\\text{SW}}$$\\left( -1, \\ -1\\right)$
$8$$\\mathtt{\\text{SE}}$$\\left( 1, \\ -1\\right)$
\n", " " ], "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "method.stencil" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Orthogonal MRTs\n", "\n", "For a real MRT method, the moments should be orthogonalized.\n", "One can either orthogonalize using the standard scalar product or a scalar product that is weighted with the lattice weights. If unsure, use the weighted version.\n", "\n", "The next cell shows how to get both orthogonalized MRT versions in lbmpy.\n" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
\n", " Moment-Based Method\n", " Stencil: D2Q9Zero-Centered Storage: ✗Force Model: None
\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
\n", " Continuous Hydrodynamic Maxwellian Equilibrium\n", " \n", " $f (\\rho, \\left( u_{0}, \\ u_{1}\\right), \\left( v_{0}, \\ v_{1}\\right)) \n", " = \\frac{3 \\delta_{\\rho} e^{- \\frac{3 v_{0}^{2}}{2} - \\frac{3 v_{1}^{2}}{2}}}{2 \\pi} + \\frac{3 e^{- \\frac{3 \\left(- u_{0} + v_{0}\\right)^{2}}{2} - \\frac{3 \\left(- u_{1} + v_{1}\\right)^{2}}{2}}}{2 \\pi}$\n", "
Compressible: ✗Deviation Only: ✗Order: 2
\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "\n", " \n", " \n", " \n", " \n", "\n", " \n", " \n", " \n", " \n", "\n", " \n", " \n", " \n", " \n", "\n", " \n", " \n", " \n", " \n", "\n", " \n", " \n", " \n", " \n", "\n", " \n", " \n", " \n", " \n", "\n", " \n", " \n", " \n", " \n", "\n", " \n", " \n", " \n", " \n", "
Relaxation Info
MomentEq. Value Relaxation Rate
$1$$\\rho$$0.0$
$x$$u_{0}$$0.0$
$y$$u_{1}$$0.0$
$x^{2} - y^{2}$$u_{0}^{2} - u_{1}^{2}$$\\omega_{shear}$
$x y$$u_{0} u_{1}$$\\omega_{shear}$
$3 x^{2} + 3 y^{2} - 2$$3 u_{0}^{2} + 3 u_{1}^{2}$$\\omega_{bulk}$
$3 x^{2} y - y$$0$$\\omega_{3}$
$3 x y^{2} - x$$0$$\\omega_{3}$
$9 x^{2} y^{2} - 3 x^{2} - 3 y^{2} + 1$$0$$\\omega_{4}$
" ], "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "rr = [sp.Symbol('omega_shear'), sp.Symbol('omega_bulk'), sp.Symbol('omega_3'), sp.Symbol('omega_4')]\n", "\n", "lbm_config = LBMConfig(stencil=Stencil.D2Q9, method=Method.MRT, weighted=True,\n", " relaxation_rates=rr, zero_centered=False)\n", "weighted_ortho_mrt = create_lb_method(lbm_config=lbm_config)\n", "weighted_ortho_mrt" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
\n", " Moment-Based Method\n", " Stencil: D2Q9Zero-Centered Storage: ✗Force Model: None
\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
\n", " Continuous Hydrodynamic Maxwellian Equilibrium\n", " \n", " $f (\\rho, \\left( u_{0}, \\ u_{1}\\right), \\left( v_{0}, \\ v_{1}\\right)) \n", " = \\frac{3 \\delta_{\\rho} e^{- \\frac{3 v_{0}^{2}}{2} - \\frac{3 v_{1}^{2}}{2}}}{2 \\pi} + \\frac{3 e^{- \\frac{3 \\left(- u_{0} + v_{0}\\right)^{2}}{2} - \\frac{3 \\left(- u_{1} + v_{1}\\right)^{2}}{2}}}{2 \\pi}$\n", "
Compressible: ✗Deviation Only: ✗Order: 2
\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "\n", " \n", " \n", " \n", " \n", "\n", " \n", " \n", " \n", " \n", "\n", " \n", " \n", " \n", " \n", "\n", " \n", " \n", " \n", " \n", "\n", " \n", " \n", " \n", " \n", "\n", " \n", " \n", " \n", " \n", "\n", " \n", " \n", " \n", " \n", "\n", " \n", " \n", " \n", " \n", "
Relaxation Info
MomentEq. Value Relaxation Rate
$1$$\\rho$$0.0$
$x$$u_{0}$$0.0$
$y$$u_{1}$$0.0$
$x^{2} - y^{2}$$u_{0}^{2} - u_{1}^{2}$$\\omega_{shear}$
$x y$$u_{0} u_{1}$$\\omega_{shear}$
$3 x^{2} + 3 y^{2} - 4$$- 2 \\rho + 3 u_{0}^{2} + 3 u_{1}^{2}$$\\omega_{bulk}$
$3 x^{2} y - 2 y$$- u_{1}$$\\omega_{3}$
$3 x y^{2} - 2 x$$- u_{0}$$\\omega_{3}$
$9 x^{2} y^{2} - 6 x^{2} - 6 y^{2} + 4$$\\rho - 3 u_{0}^{2} - 3 u_{1}^{2}$$\\omega_{4}$
" ], "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lbm_config = LBMConfig(stencil=Stencil.D2Q9, method=Method.MRT, weighted=False,\n", " relaxation_rates=rr, zero_centered=False)\n", "ortho_mrt = create_lb_method(lbm_config=lbm_config)\n", "ortho_mrt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One can check if a method is orthogonalized:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(True, True)" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ortho_mrt.is_orthogonal, weighted_ortho_mrt.is_weighted_orthogonal" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note here how the relaxation rate for each moment is set. By default, a single relaxation rate per moment group is assigned. With a moment group, we mean here moment polynomials of the same order. However, the second-order moments are split between the shear and bulk moments (defining the shear and bulk viscosity). Thus the first two relaxation rates in the `rr`-list are used for these. \n", "\n", "If only a single relaxation rate would be defined, it is applied to the shear moments, and all other higher-order moments are set to one. This means the PDFs are directly fixed to the equilibrium in the collision process. Furthermore, the relaxation rate for conserved moments can be chosen freely as they are conserved in the collision. Thus by default, we set it to zero.\n", "\n", "It is also possible to define an individual relaxation rate per moment. In this case, `Q` relaxation rates need to be defined, where `Q` is the number of moments." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Central moment lattice Boltzmann methods\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Another popular method is the cascaded lattice Boltzmann method. The cascaded LBM increases the numerical stability by shifting the collision step to the central moment space. Thus it is applied in the non-moving frame and achieves a better Galilean invariance. Typically the central moment collision operator is derived for compressible LB methods, and a higher-order equilibrium is used. Although incompressible LB methods with a second-order equilibrium can be derived with lbmpy, it violates the Galilean invariance and thus reduces the advantages of the method." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
\n", " Central-Moment-Based Method\n", " Stencil: D2Q9Zero-Centered Storage: ✓Force Model: None
\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
\n", " Continuous Hydrodynamic Maxwellian Equilibrium\n", " \n", " $f (\\rho, \\left( u_{0}, \\ u_{1}\\right), \\left( v_{0}, \\ v_{1}\\right)) \n", " = \\frac{3 \\rho e^{- \\frac{3 \\left(- u_{0} + v_{0}\\right)^{2}}{2} - \\frac{3 \\left(- u_{1} + v_{1}\\right)^{2}}{2}}}{2 \\pi}$\n", "
Compressible: ✓Deviation Only: ✗Order: 4
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Relaxation Info
Central MomentEq. Value Relaxation Rate
$1$$\\rho$$0.0$
$x$$0$$0.0$
$y$$0$$0.0$
$x y$$0$$\\omega_{shear}$
$x^{2} - y^{2}$$0$$\\omega_{shear}$
$x^{2} + y^{2}$$\\frac{2 \\rho}{3}$$\\omega_{bulk}$
$x^{2} y$$0$$\\omega_{3}$
$x y^{2}$$0$$\\omega_{3}$
$x^{2} y^{2}$$\\frac{\\rho}{9}$$\\omega_{4}$
" ], "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lbm_config = LBMConfig(stencil=Stencil.D2Q9, method=Method.CENTRAL_MOMENT, equilibrium_order=4,\n", " compressible=True, relaxation_rates=rr)\n", "\n", "central_moment_method = create_lb_method(lbm_config)\n", "central_moment_method" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The shift to the central moment space is done by applying a so-called shift matrix. Usually, this introduces a high numerical overhead. This problem is solved with lbmpy because each transformation stage can be specifically optimised individually. Therefore, it is possible to derive a CLBM with only a little numerical overhead." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/latex": [ "$\\displaystyle \\left[\\begin{matrix}1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0\\\\- u_{0} & 1 & 0 & 0 & 0 & 0 & 0 & 0 & 0\\\\- u_{1} & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0\\\\u_{0} u_{1} & - u_{1} & - u_{0} & 1 & 0 & 0 & 0 & 0 & 0\\\\u_{0}^{2} - u_{1}^{2} & - 2 u_{0} & 2 u_{1} & 0 & 1 & 0 & 0 & 0 & 0\\\\u_{0}^{2} + u_{1}^{2} & - 2 u_{0} & - 2 u_{1} & 0 & 0 & 1 & 0 & 0 & 0\\\\- u_{0}^{2} u_{1} & 2 u_{0} u_{1} & u_{0}^{2} & - 2 u_{0} & - \\frac{u_{1}}{2} & - \\frac{u_{1}}{2} & 1 & 0 & 0\\\\- u_{0} u_{1}^{2} & u_{1}^{2} & 2 u_{0} u_{1} & - 2 u_{1} & \\frac{u_{0}}{2} & - \\frac{u_{0}}{2} & 0 & 1 & 0\\\\u_{0}^{2} u_{1}^{2} & - 2 u_{0} u_{1}^{2} & - 2 u_{0}^{2} u_{1} & 4 u_{0} u_{1} & - \\frac{u_{0}^{2}}{2} + \\frac{u_{1}^{2}}{2} & \\frac{u_{0}^{2}}{2} + \\frac{u_{1}^{2}}{2} & - 2 u_{1} & - 2 u_{0} & 1\\end{matrix}\\right]$" ], "text/plain": [ "⎡ 1 0 0 0 0 0 0 0 0⎤\n", "⎢ ⎥\n", "⎢ -u₀ 1 0 0 0 0 0 0 0⎥\n", "⎢ ⎥\n", "⎢ -u₁ 0 1 0 0 0 0 0 0⎥\n", "⎢ ⎥\n", "⎢ u₀⋅u₁ -u₁ -u₀ 1 0 0 0 0 0⎥\n", "⎢ ⎥\n", "⎢ 2 2 ⎥\n", "⎢u₀ - u₁ -2⋅u₀ 2⋅u₁ 0 1 0 0 0 0⎥\n", "⎢ ⎥\n", "⎢ 2 2 ⎥\n", "⎢u₀ + u₁ -2⋅u₀ -2⋅u₁ 0 0 1 0 0 0⎥\n", "⎢ ⎥\n", "⎢ 2 2 -u₁ -u₁ ⎥\n", "⎢ -u₀ ⋅u₁ 2⋅u₀⋅u₁ u₀ -2⋅u₀ ──── ──── 1 0 0⎥\n", "⎢ 2 2 ⎥\n", "⎢ ⎥\n", "⎢ 2 2 u₀ -u₀ ⎥\n", "⎢ -u₀⋅u₁ u₁ 2⋅u₀⋅u₁ -2⋅u₁ ── ──── 0 1 0⎥\n", "⎢ 2 2 ⎥\n", "⎢ ⎥\n", "⎢ 2 2 2 2 ⎥\n", "⎢ 2 2 2 2 u₀ u₁ u₀ u₁ ⎥\n", "⎢ u₀ ⋅u₁ -2⋅u₀⋅u₁ -2⋅u₀ ⋅u₁ 4⋅u₀⋅u₁ - ─── + ─── ─── + ─── -2⋅u₁ -2⋅u₀ 1⎥\n", "⎣ 2 2 2 2 ⎦" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "central_moment_method.shift_matrix" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Define custom MRT method\n", "\n", "To choose custom values for the left moment column one can pass a nested list of moments.\n", "Moments that should be relaxed with the same paramter are grouped together.\n", "\n", "*lbmpy* also comes with a few templates for this list taken from literature:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/latex": [ "$\\displaystyle \\left[ \\left[ 1\\right], \\ \\left[ x, \\ y\\right], \\ \\left[ 3 x^{2} + 3 y^{2} - 2, \\ x^{2} - y^{2}, \\ x y\\right], \\ \\left[ x \\left(3 x^{2} + 3 y^{2} - 4\\right), \\ y \\left(3 x^{2} + 3 y^{2} - 4\\right)\\right], \\ \\left[ - 15 x^{2} - 15 y^{2} + 9 \\left(x^{2} + y^{2}\\right)^{2} + 2\\right]\\right]$" ], "text/plain": [ "⎡ ⎡ \n", "⎢ ⎡ 2 2 2 2 ⎤ ⎡ ⎛ 2 2 ⎞ ⎛ 2 2 ⎞⎤ ⎢ 2 2 ⎛ 2 \n", "⎣[1], [x, y], ⎣3⋅x + 3⋅y - 2, x - y , x⋅y⎦, ⎣x⋅⎝3⋅x + 3⋅y - 4⎠, y⋅⎝3⋅x + 3⋅y - 4⎠⎦, ⎣- 15⋅x - 15⋅y + 9⋅⎝x + y\n", "\n", " 2 ⎤⎤\n", "2⎞ ⎥⎥\n", " ⎠ + 2⎦⎦" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from lbmpy.methods import mrt_orthogonal_modes_literature\n", "from lbmpy.moments import MOMENT_SYMBOLS\n", "\n", "x, y, z = MOMENT_SYMBOLS\n", "\n", "moments = mrt_orthogonal_modes_literature(LBStencil(Stencil.D2Q9), is_weighted=True)\n", "moments" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This nested moment list can be passed to `create_lb_method`:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
\n", " Moment-Based Method\n", " Stencil: D2Q9Zero-Centered Storage: ✗Force Model: None
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\n", " Discrete Hydrodynamic Maxwellian Equilibrium\n", " Compressible: ✗Deviation Only: ✗Order: 2
$f_0 = \\frac{4 \\rho}{9} - \\frac{2 u_{0}^{2}}{3} - \\frac{2 u_{1}^{2}}{3}$
$f_1 = \\frac{\\rho}{9} - \\frac{u_{0}^{2}}{6} + \\frac{u_{1}^{2}}{3} + \\frac{u_{1}}{3}$
$f_2 = \\frac{\\rho}{9} - \\frac{u_{0}^{2}}{6} + \\frac{u_{1}^{2}}{3} - \\frac{u_{1}}{3}$
$f_3 = \\frac{\\rho}{9} + \\frac{u_{0}^{2}}{3} - \\frac{u_{0}}{3} - \\frac{u_{1}^{2}}{6}$
$f_4 = \\frac{\\rho}{9} + \\frac{u_{0}^{2}}{3} + \\frac{u_{0}}{3} - \\frac{u_{1}^{2}}{6}$
$f_5 = \\frac{\\rho}{36} - \\frac{u_{0}^{2}}{24} - \\frac{u_{0}}{12} - \\frac{u_{1}^{2}}{24} + \\frac{u_{1}}{12} + \\frac{\\left(- u_{0} + u_{1}\\right)^{2}}{8}$
$f_6 = \\frac{\\rho}{36} - \\frac{u_{0}^{2}}{24} + \\frac{u_{0}}{12} - \\frac{u_{1}^{2}}{24} + \\frac{u_{1}}{12} + \\frac{\\left(u_{0} + u_{1}\\right)^{2}}{8}$
$f_7 = \\frac{\\rho}{36} - \\frac{u_{0}^{2}}{24} - \\frac{u_{0}}{12} - \\frac{u_{1}^{2}}{24} - \\frac{u_{1}}{12} + \\frac{\\left(- u_{0} - u_{1}\\right)^{2}}{8}$
$f_8 = \\frac{\\rho}{36} - \\frac{u_{0}^{2}}{24} + \\frac{u_{0}}{12} - \\frac{u_{1}^{2}}{24} - \\frac{u_{1}}{12} + \\frac{\\left(u_{0} - u_{1}\\right)^{2}}{8}$
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Relaxation Info
MomentEq. Value Relaxation Rate
$1$$\\rho$$0.0$
$x$$u_{0}$$0.0$
$y$$u_{1}$$0.0$
$3 x^{2} + 3 y^{2} - 2$$3 u_{0}^{2} + 3 u_{1}^{2}$$\\omega_{bulk}$
$x^{2} - y^{2}$$u_{0}^{2} - u_{1}^{2}$$\\omega_{shear}$
$x y$$u_{0} u_{1}$$\\omega_{shear}$
$x \\left(3 x^{2} + 3 y^{2} - 4\\right)$$0$$\\omega_{3}$
$y \\left(3 x^{2} + 3 y^{2} - 4\\right)$$0$$\\omega_{3}$
$- 15 x^{2} - 15 y^{2} + 9 \\left(x^{2} + y^{2}\\right)^{2} + 2$$0$$\\omega_{4}$
" ], "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "method = create_lb_method(LBMConfig(stencil=Stencil.D2Q9, method=Method.MRT, nested_moments=moments,\n", " relaxation_rates=rr, continuous_equilibrium=False, zero_centered=False))\n", "method" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here, by setting `continuous_equilibrium=False`, the values at equilibrium of these moments are computed directly from the discrete Maxwellian distribution, and truncated at the second order in velocity. Here, customization options include changing the desired order in velocity, or to compute the moments of the continuous Maxwellian instead (this only makes a difference for truncated stencils, like D3Q19).\n", "\n", "Our MRT method can be directly passed into one of the scenarios. We can for example set up a channel flow with it. Since we used symbols as relaxation rates, we have to pass them in as `kernel_params`." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ch = create_channel(domain_size=(100, 30), lb_method=method, u_max=0.05,\n", " kernel_params={'omega_bulk': 1.8, 'omega_shear': 1.4, 'omega_3': 1.0, 'omega_4': 1.0})\n", "ch.run(500)\n", "plt.figure(dpi=200)\n", "plt.vector_field(ch.velocity[:, :]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Bonus: Automatic analysis\n", "For moment-based methods, *lbmpy* also offers an automatic Chapman Enskog analysis that can find the relation between viscosity and relaxation rate(s):" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/latex": [ "$\\displaystyle - \\frac{\\omega_{shear} - 2}{6 \\omega_{shear}}$" ], "text/plain": [ "-(ωₛₕₑₐᵣ - 2) \n", "──────────────\n", " 6⋅ωₛₕₑₐᵣ " ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from lbmpy.chapman_enskog import ChapmanEnskogAnalysis\n", "analysis = ChapmanEnskogAnalysis(method)\n", "analysis.get_dynamic_viscosity()" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/latex": [ "$\\displaystyle - \\frac{1}{9} + \\frac{5}{9 \\omega_{shear}} - \\frac{1}{3 \\omega_{bulk}}$" ], "text/plain": [ " 1 5 1 \n", "- ─ + ──────── - ────────\n", " 9 9⋅ωₛₕₑₐᵣ 3⋅ω_bulk" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "analysis.get_bulk_viscosity()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.9.9" } }, "nbformat": 4, "nbformat_minor": 2 }