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A fast, matrix-free implicit method for compressible flows on unstructured grids. (English) Zbl 0931.76045
A fast, matrix-free implicit method has been developed to solve the three-dimensional compressible Euler and Navier-Stokes equations on unstructured meshes. An approximate system of linear equations arising from the Newton linearization is solved by the GMRES (generalized minimum residual) algorithm with a LU-SGS (lower-upper symmetric Gauss-Seidel) preconditioner. The method developed has been used to compute the compressible flows around three-dimensional complex aerodynamic configurations for a wide range of flow conditions, from subsonic to supersonic. \(\copyright\) Academic Press.

MSC:
76M10 Finite element methods applied to problems in fluid mechanics
76M12 Finite volume methods applied to problems in fluid mechanics
76G25 General aerodynamics and subsonic flows
76J20 Supersonic flows
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