Solution of the discretized incompressible Navier-Stokes equations with the GMRES method |
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| Authors: | C Vuik |
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| Institution: | Faculty of Technical Mathematics and Informatics, Delft University of Technology, P.O. Box 5031, Mekelweg 4, 2600 GA Delft, The Netherlands |
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| Abstract: | We describe some experiences using interative solution methods of GMRES type to solve the discretized Navier-Stokes equations. The discretization combined with a pressure correction scheme leads to two different systems of equations: the momentum equations and the pressure equation. It appears that a fast solution method for the pressure equation is obtained by applying the recently proposed GMRESR method, or GMRES combined with a MILU preconditioner. The diagonally scaled momentum equations are solved by GMRES(m), a restarted version of GMRES. |
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| Keywords: | Navier-Stokes equations Incompressible boundary-fitted co-ordinates Non-symmetric linear systems Iterative solver |
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