An unsplit Godunov method for systems of conservation laws on curvilinear overlapping grids

Authors:
D. L. Brown
Affiliations:
Computing and Communications Division, Los Alamos National Laboratory Los Alamos, New Mexico 87545, U.S.A.
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
1994

Citing 8
Cited 1

On the use of composite grid schemes in computational aerodynamics

Computer Methods in Applied Mechanics and Engineering
Higher order Godunov methods for general systems of hyperbolic conservation laws

Journal of Computational Physics
Multidimensional upwind methods for hyperbolic conservation laws

Journal of Computational Physics
Composite overlapping meshes for the solution of partial differential equations

Journal of Computational Physics
A 3D adaptive mesh refinement algorithm for multimaterial gas dynamics

Proceedings of the eleventh annual international conference of the Center for Nonlinear Studies on Experimental mathematics : computational issues in nonlinear science: computational issues in nonlinear science
Computing the flow around a submerged body using composite grids

Journal of Computational Physics
A fourth-order accurate method for the incompressible Navier-Stokes equations on overlapping grids

Journal of Computational Physics
Local adaptive mesh refinement for shock hydrodynamics

Journal of Computational Physics

A high-resolution mapped grid algorithm for compressible multiphase flow problems

Journal of Computational Physics

Quantified Score

Hi-index	0.99

Visualization

Abstract

The overlapping grid or Chimera method for representation of complex geometries within the context of finite difference methods has been used effectively for a variety of problems, particularly in the area hydrodynamic simulation. In this paper, we introduce a second-order unsplit upwind method of Godunov type for curvilinear coordinates and apply it to gas dynamics simulations involving complex geometries by using overlapping grids.