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Multidomain spectral solution of the Euler gas-dynamics equations. (English) Zbl 0726.76077
Summary: We present interface treatments for computing the Euler gas-dynamics equations by a multidomain Chebyshev spectral collocation method. These treatments are suitable for use at the corners of subdomains and for patched or overlapping subdomains. They can be applied to interfaces placed in subsonic, supersonic, or transonic regions of a flow. Computed results indicate that the solutions are spectrally accurate, can be more accurate and more efficient than a single domain calculation, and that reflection of waves at interfaces are not significant.

MSC:
76M25 Other numerical methods (fluid mechanics) (MSC2010)
76N15 Gas dynamics (general theory)
76H05 Transonic flows
76G25 General aerodynamics and subsonic flows
76K05 Hypersonic flows
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