Abstract
An explicit and implicit scheme for the solution of the Navier-Stokes equations for unsteady and three-dimensional flow problems were implemented on several parallel computer systems. The explicit scheme is based on a multi-stage Runge-Kutta scheme with multigrid acceleration, in the implicit scheme a dual time stepping scheme and a conjugate gradient with incomplete lower-upper decomposition preconditioning is applied. Two examples of complex flows were simulated and compared with experimental flow visualizations in order to demonstrate the applicability of the developed solution methods. Presented are the essential details of the solution schemes, their implementation on parallel computer architectures, and their performance for different hardware configurations.
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© 1996 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig/Wiesbaden
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Hofhaus, J., Meinke, M., Krause, E. (1996). Parallelization of Solution Schemes for the Navier-Stokes Equations. In: Hirschel, E.H. (eds) Flow Simulation with High-Performance Computers II. Notes on Numerical Fluid Mechanics (NNFM), vol 48. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-89849-4_8
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DOI: https://doi.org/10.1007/978-3-322-89849-4_8
Publisher Name: Vieweg+Teubner Verlag
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