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An Implicit Multigrid Method for the Simulation of Chemically Reacting Flows

✍ Scribed by P. Gerlinger; P. Stoll; D. Brüggemann


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
319 KB
Volume
146
Category
Article
ISSN
0021-9991

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✦ Synopsis


The application of multigrid methods is complicated if the set of governing equations contains strongly nonlinear source terms. This is the case for finite-rate chemistry as well as for turbulence conservation equations. In most cases strong nonlinearities within the chemical production rates prevent convergence of standard multigrid methods. This paper investigates different approaches to treating chemical and turbulent production terms on coarse grids in order to enable convergence. Independent of combustion, supersonic flows require special care during restriction and prolongation if strong shock waves occur. A full coarsening four-level nested multigrid method is used for all conservation equations including those of turbulence and species transport. Strong convergence accelerations are achieved by a local source termdependent damping of the restricted residual error. Several test cases with and without combustion demonstrate the efficiency and accuracy of the proposed multigrid algorithm.


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