Technical Report 2007-029

A Hybrid Method for the Unsteady Compressible Navier-Stokes Equations

Jing Gong, Jan Nordström, and Edwin van der Weide

October 2007

A hybrid method composed of finite difference-finite difference and finite difference-finite volume schemes for the time-dependent Navier-Stokes equations has been developed. A detailed analysis of the stability of the proposed algorithms, paying special attention to the stability of the interfaces between the subdomains is performed. We prove that the interface coupling is stable and conservative. This techniques makes it possible to combine the efficiency of the finite difference method and the flexibility of the finite volume schemes. We exemplify the procedure by using finite difference methods. The computational results corroborate the theoretical analysis.

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