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Rankine-Hugoniot-Riemann solver considering source terms and multidimensional effects
Sibley School of Mechanical and Aerospace Engineering, Cornell University.
Luleå University of Technology.
1998 (English)In: Journal of Computational Physics, ISSN 0021-9991, E-ISSN 1090-2716, Vol. 145, no 2, p. 575-610Article in journal (Refereed) Published
Abstract [en]

A new approach for a flux solver is introduced, which takes into account source terms, viscous terms, and multidimensional effects. The basic idea is to distribute the source terms, which also contain the viscous terms and multidimensional effects, from the cells to the cell interfaces. Then the fluxes on both sides of a cell interface are determined by the Rankine-Hugoniot conditions and a linearized Riemann solver. The resulting Rankine-Hugoniot-Riemann (RHR) solver yields much more accurate results than conventional Riemann solvers for steady premixed laminar flames in 1D and 2D and a steady 2D inviscid channel flow with injection. Unsteady flow simulations of two colliding flames producing sound and of acoustic oscillations flattening a 2D Bunsen flame demonstrate that the new flux solver is able to compute acoustic effects in flames accurately. This approach for a flux solver is more general and can also be applied to solve other partial differential equations which can be expressed as hyperbolic systems with source terms ex- or including higher spatial derivatives, e.g., for the shallow water equations and for the magnetohydrodynamic equations.

Place, publisher, year, edition, pages
1998. Vol. 145, no 2, p. 575-610
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-5417DOI: 10.1006/jcph.1998.6037Local ID: 383ad000-ba75-11db-b560-000ea68e967bOAI: oai:DiVA.org:ltu-5417DiVA: diva2:978291
Note
Godkänd; 1998; 20070131 (kani)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2017-11-21Bibliographically approved

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