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A conservative staggered-grid Chebyshev multidomain method for compressible flows. II: A semi-structured method. (English) Zbl 0866.76064
Summary: [For part I see the first author and J. H. Kolias, ibid. 125, No. 1, 244-261, Art. No. 0091 (1996; Zbl 0847.76069)]. We present a Chebyshev multidomain method that can solve systems of hyperbolic equations in conservation form on an unrestricted quadrilateral subdivision of a domain. Within each subdomain the solutions and fluxes are approximated by a staggered-grid Chebyshev method. Thus, the method is unstructured in terms of the subdomain decomposition, but strongly structured within the subdomains. Communication between subdomains is done by a mortar method in such a way that the method is globally conservative. The method is applied to both linear and nonlinear test problems, and spectral accuracy is demonstrated.

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