A conservative, weakly nonlinear semi-implicit finite volume scheme for the compressible Navier−Stokes equations with general equation of state

Michael Dumbser and Vincenzo Casulli

Applied Mathematics and Computation, 2016, vol. 272, issue P2, 479-497

Abstract: In the present paper a new efficient semi-implicit finite volume method is proposed for the solution of the compressible Euler and Navier−Stokes equations of gas dynamics with general equation of state (EOS). The discrete flow equations lead to a mildly nonlinear system for the pressure, containing a diagonal nonlinearity due to the EOS. The remaining linear part of the system is symmetric and at least positive semi-definite. Mildly nonlinear systems with this particular structure can be very efficiently solved with a nested Newton-type technique.

Keywords: Staggered semi-implicit finite volume method; Large time steps; Mildly nonlinear system; All Mach number flow solver; General equation of state (EOS); Compressible Euler and Navier−Stokes equations (search for similar items in EconPapers)
Date: 2016
References: View complete reference list from CitEc
Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:272:y:2016:i:p2:p:479-497

DOI: 10.1016/j.amc.2015.08.042

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