Summary
In the last 20 years in automobile engine design many interesting applications of computational fluid dynamics (CFD) techniques have arisen. One of them is the numerical simulation of in-cylinder flow and combustion processes in reciprocating engines. The mathematical model for the gas motion in the combustion chamber is the time-dependent, compressible Navier-Stokes equations combined with a standard turbulence model.
This paper presents the multigrid (MG)-program MGNS20 for the efficient numerical solution of the 2D-model without combustion. The time discretization is done implicitly. Therefore, the time-step size is not restricted by a stability condition. The nonlinear elliptic system arising in each time-step is solved by a specially designed MG-method using relaxation techniques proposed by A. Brandt.
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References
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Ruttmann, B., Solchenbach, K. (1984). A Multigrid-Solver for the Computation of In-Cylinder Turbulent Flows in Engines. In: Hackbusch, W. (eds) Efficient Solutions of Elliptic Systems. Notes on Numerical Fluid Mechanics, vol 10. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-14169-3_8
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DOI: https://doi.org/10.1007/978-3-663-14169-3_8
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
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