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Implicit upwind solution algorithms for three-dimensional unstructured meshes. (English) Zbl 0777.76057
The development of implicit upwind algorithms for the solution of the three-dimensional, time-dependent Euler equations on unstructured tetrahedral meshes is described. The implicit temporal discretization involves either a two-sweep Gauss-Seidel relaxation procedure, a two- sweep point-Jacobi relaxation procedure, or a single-sweep point-implicit procedure; the upwind spatial discretization is based on the flux- difference splitting of Roe. Detailed descriptions of the three implicit solution algorithms are given, and calculations for the Boeing 747 transport configuration are presented to demonstrate the algorithms.

76M20 Finite difference methods applied to problems in fluid mechanics
76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
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