Compact finite-difference schemes have been recently used in several Direct Numerical Simulations of turbulent flows, in order to achieve high-order accuracy and high resolution. The development of compact finite-volume schemes is more involved, due to the appearance of surface and volume integrals. In this paper we select a staggered grid arrangement, whose good characteristics are advantageous in the simulation of incompressible flows. Compact schemes can be tuned to achieve very high resolution, for a given formal order of accuracy. In this respect, we develop and test high-resolution schemes by following a procedure first introduced by Lele (1992, J. Comp. Phys., 103). Numerical evidence of the good characteristics of the developed method is presented.
Numerical applications and developments of finite volume compactschemes on staggered grids
PILLER, MARZIO;NOBILE, ENRICO
2003-01-01
Abstract
Compact finite-difference schemes have been recently used in several Direct Numerical Simulations of turbulent flows, in order to achieve high-order accuracy and high resolution. The development of compact finite-volume schemes is more involved, due to the appearance of surface and volume integrals. In this paper we select a staggered grid arrangement, whose good characteristics are advantageous in the simulation of incompressible flows. Compact schemes can be tuned to achieve very high resolution, for a given formal order of accuracy. In this respect, we develop and test high-resolution schemes by following a procedure first introduced by Lele (1992, J. Comp. Phys., 103). Numerical evidence of the good characteristics of the developed method is presented.Pubblicazioni consigliate
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