From 7ee1ca337f25ab6ead86ead28c10df520cff1b63 Mon Sep 17 00:00:00 2001 From: Adrian Kummerlaender Date: Tue, 2 Jul 2019 14:58:36 +0200 Subject: Determine weights using Gauss-Hermite quadrature --- symbolic/generator.py | 14 ++++++++++---- 1 file changed, 10 insertions(+), 4 deletions(-) (limited to 'symbolic/generator.py') diff --git a/symbolic/generator.py b/symbolic/generator.py index f94031f..73f3940 100644 --- a/symbolic/generator.py +++ b/symbolic/generator.py @@ -2,6 +2,7 @@ from sympy import * from sympy.codegen.ast import Assignment import symbolic.optimizations as optimizations +from symbolic.characteristics import weights def assign(names, definitions): @@ -13,6 +14,11 @@ class LBM: self.f_next = symarray('f_next', descriptor.q) self.f_curr = symarray('f_curr', descriptor.q) + if hasattr(descriptor, 'w'): + self.w = descriptor.w + else: + self.w = weights(descriptor.d, descriptor.c) + def moments(self, optimize = True): rho = symbols('rho') u = Matrix(symarray('u', self.descriptor.d)) @@ -35,10 +41,10 @@ class LBM: f_eq = [] for i, c_i in enumerate(self.descriptor.c): - f_eq_i = self.descriptor.w[i] * rho * ( 1 - + c_i.dot(u) / self.descriptor.c_s**2 - + c_i.dot(u)**2 / (2*self.descriptor.c_s**4) - - u.dot(u) / (2*self.descriptor.c_s**2) ) + f_eq_i = self.w[i] * rho * ( 1 + + c_i.dot(u) / self.descriptor.c_s**2 + + c_i.dot(u)**2 / (2*self.descriptor.c_s**4) + - u.dot(u) / (2*self.descriptor.c_s**2) ) f_eq.append(f_eq_i) return f_eq -- cgit v1.2.3