The complementary RANS equations for the simulation of viscous flows |
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| Authors: | Kunho Kim Ana I Sirviente Robert F Beck |
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| Institution: | Department of Naval Architecture and Marine Engineering, The University of Michigan, Ann Arbor, MI 48109, U.S.A. |
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| Abstract: | A complementary set of Reynolds‐averaged Navier–Stokes (RANS) equations has been developed for steady incompressible, turbulent flows. The method is based on the Helmholtz decomposition of the velocity vector field into a viscous and a potential components. In the complementary RANS solver a potential solution coexists with a viscous solution with the purpose of contributing to a fastest decay of the viscous solution in the far field. The proposed complementary RANS equations have been validated for steady laminar and turbulent flows. The computational results show that the complementary RANS solver is able to produce less grid‐dependent solutions than a conventional RANS solver. Copyright © 2005 John Wiley & Sons, Ltd. |
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| Keywords: | complementary RANS equations RANS solver viscous– inviscid coupling Helmholtz decomposition |
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