A continuously differentiable upwinding scheme for the simulation of fluid flow problems
Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
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Data(s) |
05/11/2013
05/11/2013
2012
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Resumo |
This paper deals with the numerical solution of complex fluid dynamics problems using a new bounded high resolution upwind scheme (called SDPUS-C1 henceforth), for convection term discretization. The scheme is based on TVD and CBC stability criteria and is implemented in the context of the finite volume/difference methodologies, either into the CLAWPACK software package for compressible flows or in the Freeflow simulation system for incompressible viscous flows. The performance of the proposed upwind non-oscillatory scheme is demonstrated by solving two-dimensional compressible flow problems, such as shock wave propagation and two-dimensional/axisymmetric incompressible moving free surface flows. The numerical results demonstrate that this new cell-interface reconstruction technique works very well in several practical applications. (C) 2012 Elsevier Inc. All rights reserved. FAPESP [04/16064-9, 06/00480-9, 09/16954-8] CNPq [300479/2008-5, 472945/2011-4] CAPES/CNPq IEL Nacional-Brazil [PECPG1462/08-3] |
Identificador |
Applied Mathematics and Computation, Amsterdam, v. 218, n. 17, supl. 1, Part 1, p. 8614-8633, may , 2012 0096-3003 http://www.producao.usp.br/handle/BDPI/41620 10.1016/j.amc.2012.02.024 |
Idioma(s) |
eng |
Publicador |
Elsevier Inc. Amsterdam |
Relação |
Applied Mathematics and Computation |
Direitos |
restrictedAccess Copyright Elsevier Inc. |
Palavras-Chave | #TVD/CBC STABILITY #HIGH RESOLUTION SCHEMES #UPWINDING #CONVECTION TERM DISCRETIZATION #BOUNDEDNESS CRITERIA #SHOCK-CAPTURING #CONSERVATION LAWS #FREE SURFACE FLOWS #HYPERBOLIC CONSERVATION-LAWS #HIGH-RESOLUTION SCHEMES #ORDER CONVECTION SCHEMES #INCOMPRESSIBLE-FLOW #NUMERICAL-SIMULATION #TRANSPORT #DISCONTINUITIES #INTERPOLATION #ADVECTION #LIMITERS #MECÂNICA DOS FLUÍDOS COMPUTACIONAL #MATHEMATICS, APPLIED |
Tipo |
article original article publishedVersion |