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Stable conservative multidomain treatments for implicit Euler solvers. (English) Zbl 0839.76065
Summary: Multidomain treatments are studied in order to solve the steady compressible Euler equations using implicit time-dependent finite volume methods on block-structured grids. Unconditionally GKS-stable and conservative treatments are proposed for continuous and discontinuous one-dimensional matchings and extended to two-dimensional patched grids. Efficiency of the present interface conditions is demonstrated through transonic flow calculations over single- and two-element airfoils.

MSC:
76M25 Other numerical methods (fluid mechanics) (MSC2010)
76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
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