A preconditioned dual time-stepping method for combustion problems

Authors:
I. Elmahi;O. Gloth;D. Hänel;R. Vilsmeier
Affiliations:
ENSAO, EMCS, Complexe Universitaire, Oujda, Morocco;Institute of Combustion and Gas-dynamics, University of Duisburg, Duisburg, Germany;Institute of Combustion and Gas-dynamics, University of Duisburg, Duisburg, Germany;Institute of Combustion and Gas-dynamics, University of Duisburg, Duisburg, Germany
Venue:
International Journal of Computational Fluid Dynamics
Year:
2008

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Abstract

A finite-volume method on unstructured grids for solving systems of conservation laws of compressible fluids is extended to chemically reacting non-equilibrium flow problems at very low Mach numbers. Convergence and accuracy is ensured by local preconditioning, generalised to reactive multi-species flows and incorporated in a flux difference formulation. It is combined with an implicit solution of the species source terms to overcome stiffness problems. To ensure time consistency for transient problems, a semi-implicit dual time-stepping method is applied. The performance of the algorithm is shown on a sample result for steady-state and time-accurate problems.