A continuously differentiable upwinding scheme for the simulation of fluid flow problems

作者：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 L V A

来源：Applied Mathematics and Computation, 2012, 218(17): 8614-8633.

DOI：10.1016/j.amc.2012.02.024

• TVD/CBC stability
• High resolution schemes
• Upwinding
• Convection term discretization
• Boundedness criteria
• Shock-capturing
• Conservation laws
• Free surface flows

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.

• 出版日期2012-5-1