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Convergence Acceleration Of The Proteus Computer Code With Multigrid Methods
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Author :National Aeronautics and Space Administration (NASA) Publisher :Createspace Independent Publishing Platform ISBN 13 :9781722978891 Total Pages :162 pages Book Rating :4.9/5 (788 download)
Book Synopsis Convergence Acceleration of the Proteus Computer Code with Multigrid Methods by : National Aeronautics and Space Administration (NASA)
Download or read book Convergence Acceleration of the Proteus Computer Code with Multigrid Methods written by National Aeronautics and Space Administration (NASA) and published by Createspace Independent Publishing Platform. This book was released on 2018-07-17 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: This report presents the results of a study to implement convergence acceleration techniques based on the multigrid concept in the two-dimensional and three-dimensional versions of the Proteus computer code. The first section presents a review of the relevant literature on the implementation of the multigrid methods in computer codes for compressible flow analysis. The next two sections present detailed stability analysis of numerical schemes for solving the Euler and Navier-Stokes equations, based on conventional von Neumann analysis and the bi-grid analysis, respectively. The next section presents details of the computational method used in the Proteus computer code. Finally, the multigrid implementation and applications to several two-dimensional and three-dimensional test problems are presented. The results of the present study show that the multigrid method always leads to a reduction in the number of iterations (or time steps) required for convergence. However, there is an overhead associated with the use of multigrid acceleration. The overhead is higher in 2-D problems than in 3-D problems, thus overall multigrid savings in CPU time are in general better in the latter. Savings of about 40-50 percent are typical in 3-D problems, but they are about 20-30 percent in large 2-D problems. The present multigrid method is applicable to steady-state problems and is therefore ineffective in problems with inherently unstable solutions. Demuren, A. O. and Ibraheem, S. O. Unspecified Center COMPRESSIBLE FLOW; COMPUTATIONAL FLUID DYNAMICS; COMPUTATIONAL GRIDS; CONVERGENCE; MULTIGRID METHODS; NUMERICAL STABILITY; THREE DIMENSIONAL FLOW; TWO DIMENSIONAL FLOW; ALTERNATING DIRECTION IMPLICIT METHODS; APPLICATIONS PROGRAMS (COMPUTERS); EULER EQUATIONS OF MOTION; ITERATIVE SOLUTION; NAVIER-STOKES EQUATION; UPWIND SCHEMES (MATHEMATICS)...
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