Third Order Accurate Large-Particle Finite Volume Method on Unstructured Triangular Meshes

Autor:	Mao-Zhang Chen, Song-He Song
Rok vydání:	2002
Předmět:	Finite volume method Applied Mathematics Numerical analysis Mathematical analysis Geometry Computational Mathematics Acceleration symbols.namesake Flow (mathematics) symbols Gaussian quadrature Polygon mesh Gauss–Seidel method Interpolation Mathematics
Zdroj:	SIAM Journal on Scientific Computing. 23:1456-1463
ISSN:	1095-7197 1064-8275
Popis:	The large-particle fluid in cell (FLIC) method, presented in 1960s, is a numerical method that can be applied to solve unsteady flow. The computational scheme consists of two steps for each time march step: First, intermediate values are calculated for the velocities and energy, taking into account only the effects of acceleration caused by pressure gradients; second, transport effects are calculated. In this paper, we present a third order large-particle finite volume method for unstructured triangular meshes. The key idea of this method is the reconstruction of weighted quadratic interpolation for flow variables, and the two-point Gauss quadrature formula is used on mesh edges. The computational results for two typical flows verify the accuracy of the method.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::dade50711eea3833870ef948ab3c82a5 https://doi.org/10.1137/s1064827599353105 Zobrazit plný text záznamu Plný text ve formátu PDF