Multi-dimensional high-order numerical schemes for Lagrangian hydrodynamics

Conference · Thu Jan 01 00:00:00 EST 2009

OSTI ID:989770

Dai, William W ^[1]; Woodward, Paul R ^[1]

---

1. Los Alamos National Laboratory

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.

• Research Organization: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
• Sponsoring Organization: USDOE
• DOE Contract Number: AC52-06NA25396
• OSTI ID: 989770
• Report Number(s): LA-UR-09-03316; LA-UR-09-3316; TRN: US201019%%828
• Resource Relation: Conference: 2009 International Conference on Scientific Computing ; July 13, 2009 ; Los Vegas, NV
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS
CONSERVATION LAWS
HYDRODYNAMICS
LAGRANGIAN FUNCTION