Summary
An implicit residual smoothing technique to enhance convergence properties of Runge-Kutta time stepping schemes on unstructured meshes is developed. In contrast to standard implicit residual smoothing schemes applied on structured meshes, no direct information about the cell aspect ratio is required. The development of the acceleration technique is based on the Mach number based Advection Pressure Splitting (MAPS) spatial discretization. With the new implicit smoothing, maximum CFL numbers comparable to those on structured meshes are obtainable for unstructured meshes, and in combination with multigrid acceleration, convergence rates similar to structured codes are achieved. In order to allow the solution for incompressible flows, the implicit residual smoothing is adapted to low Mach number preconditioning.
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References
Jameson, A.: Multigrid Algorithms for Compressible Flow Calculations, MAE Report 1743, Princeton University, Text of Lecture given at 2 European Conference on Multigrid Methods, Cologne, October 1985.
Martinelli, L.: Calculations of Viscous Flows with a Multigrid Method, Ph.-D. Dissertation, MAE Department, Princeton University, October 1987.
Jameson, A.; Baker, T.J.; Weatherhill, N.P.: Calculations of Inviscid Transonic Flow over a Complete Aircraft, AIAA Paper 86–0103, January 1986.
Gerhold, T.; Friedrich, O.; Evans, J.; Galle, M.: Calculation of Complex Three-Dimensional Configurations Employing the DLR-z-Code, AIM-Paper 97–0167, January 1997.
Rossow, C.-C.: A Simple Flux Splitting Scheme for Compressible Flows, Contributions to the 11 STAB/DGLR Symposium Berlin 1998, Notes on Numerical Fluid Mechanics, Vieweg Publishers, Braunschweig, Wiesbaden, Vol. 72, pp. 355–362, 1999.
Turkel, E. Preconditioning Techniques in Computational Fluid Dynamics, Annual Reviews in Fluid Mechanics, Vol. 31, pp. 385–416, 1999.
Rossow, C.-C. A Flux Splitting Scheme for Compressible and Incompressible Flows, Journal of Computational Physics, Vol. 164, pp. 104–122, 2000.
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© 2002 Springer-Verlag Berlin Heidelberg
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Rossow, CC. (2002). Convergence Acceleration on Unstructured Meshes. In: Wagner, S., Rist, U., Heinemann, HJ., Hilbig, R. (eds) New Results in Numerical and Experimental Fluid Mechanics III. Notes on Numerical Fluid Mechanics (NNFM), vol 77. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45466-3_37
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DOI: https://doi.org/10.1007/978-3-540-45466-3_37
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