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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.

MSC:
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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