Artículos de revistas
A continuously differentiable upwinding scheme for the simulation of fluid flow problems
Applied Mathematics and Computation. New York: Elsevier B.V., v. 218, n. 17, p. 8614-8633, 2012.
Universidade de São Paulo (USP)
Universidade do Oeste Paulista (UNOESTE)
Universidade Estadual Paulista (UNESP)
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.