A Node-Centered Artificial Viscosity Method for Two-Dimensional Lagrangian Hydrodynamics Calculations on a Staggered Grid

作     者：A.Burbeau-Augoula 

作者机构：CEADIFF-91297 ArpajonFrance 

出 版 物：《Communications in Computational Physics》 (计算物理通讯（英文）)

年 卷 期：2010年第8卷第9期

页      面：877-900页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Hydrodynamics staggered discretization artificial viscosity Lagrangian simulation shock waves finite volume scheme 

摘      要：This work deals with the simulation of two-dimensional Lagrangian hydrodynamics *** objective is the development of an artificial viscosity that is to be used in conjunction with a staggered placement of variables:thermodynamics variables are centered within cells and position and fluid velocity at ***[***.,228(2009),2391-2425],Maire develops a high-order cell-centered scheme for solving the gas dynamics *** numerical results show the accuracy and the robustness of the method,and the fact that very few Hourglass-type deformations are *** objective is to establish the link between the scheme of Maire and the introduction of artificial viscosity in a Lagrangian code based on a staggered *** idea is to add an extra degree of freedom to the numerical scheme,which is an approximation of the fluid velocity within *** that,we can locally come down to a cell-centered approximation and define the Riemann problem associated to discrete variable discontinuities in a very natural *** results in a node-centered artificial viscosity *** experiments show the robustness and the accuracy of the method,which is very easy to implement.