A continuously differentiable upwinding scheme for the simulation of fluid flow problems
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Data
2012-05-01
Autores
Lima, G. A. B.
Ferreira, V. G.
Cirilo, E. R.
Castelo, A.
Candezano, M. A. C.
Tasso, I. V. M.
Sano, D. M. C.
Scalvi, Luis Vicente de Andrade [UNESP]
Título da Revista
ISSN da Revista
Título de Volume
Editor
Elsevier B.V.
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 B.V. All rights reserved.
Descrição
Palavras-chave
TVD/CBC stability, High resolution schemes, Upwinding, Convection term discretization, Boundedness criteria, Shock-capturing, Conservation laws, Free surface flows
Como citar
Applied Mathematics and Computation. New York: Elsevier B.V., v. 218, n. 17, p. 8614-8633, 2012.