An efficient and robust implicit operator for upwind point Gauss-Seidel method

An efficient and robust implicit operator for the point Gauss-Seidel method is presented for solving the compressible Euler equations. The new implicit operator was derived by adding a scalar form of artificial dissipation to the upwind implicit side. The amount of artificial dissipation was locally adjusted using a weighting factor based on the solution gradient. For validation, the performance of the new implicit operator was compared in detail with that of several existing implicit operators which have been widely used for solving the flow equations. Numerical experiments showed that the stability and convergence characteristics of the new implicit operator are significantly better than those of other existing implicit operators for calculating flows ranging from subsonic to hypersonic speeds. (c) 2006 Elsevier Inc. All rights reserved.
Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
Issue Date
2007-06
Language
ENG
Keywords

NAVIER-STOKES EQUATIONS; EULER EQUATIONS; UNSTRUCTURED GRIDS; MULTIGRID SOLUTION; TURBULENT FLOWS; SCHEMES; ALGORITHM; CONVERGENCE; MESHES

Citation

JOURNAL OF COMPUTATIONAL PHYSICS, v.224, no.2, pp.1124 - 1144

ISSN
0021-9991
DOI
10.1016/j.jcp.2006.11.008
URI
http://hdl.handle.net/10203/3082
Appears in Collection
AE-Journal Papers(저널논문)
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