zbMATH — the first resource for mathematics

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.

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