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Title: Multi-dimensional high-order numerical schemes for Lagrangian hydrodynamics

An approximate solver for multi-dimensional Riemann problems at grid points of unstructured meshes, and a numerical scheme for multi-dimensional hydrodynamics have been developed in this paper. The solver is simple, and is developed only for the use in numerical schemes for hydrodynamics. The scheme is truely multi-dimensional, is second order accurate in both space and time, and satisfies conservation laws exactly for mass, momentum, and total energy. The scheme has been tested through numerical examples involving strong shocks. It has been shown that the scheme offers the principle advantages of high-order Codunov schemes; robust operation in the presence of very strong shocks and thin shock fronts.
Authors:
 [1] ;  [1]
  1. Los Alamos National Laboratory
Publication Date:
OSTI Identifier:
989770
Report Number(s):
LA-UR-09-03316; LA-UR-09-3316
TRN: US201019%%828
DOE Contract Number:
AC52-06NA25396
Resource Type:
Conference
Resource Relation:
Conference: 2009 International Conference on Scientific Computing ; July 13, 2009 ; Los Vegas, NV
Research Org:
Los Alamos National Laboratory (LANL)
Sponsoring Org:
DOE
Country of Publication:
United States
Language:
English
Subject:
99; CONSERVATION LAWS; HYDRODYNAMICS; LAGRANGIAN FUNCTION