On the development of a 6th order accurate compact finite difference scheme for incompressible flow
Compact finite difference methods are nowadays very popular for the simulation of compressible turbulent flows, see for instance (Lele, 1992) and (Boersma, 2005). Due to the low dissipation and dispersion errors of the compact finite difference schemes, they can be used for various type of problems including large eddy and direct numerical simulation of turbulent flow and laminar turbulent transition. However due to the low numerical dissipation compact finite difference have the tendency to be numerically quite unstable. In practice this instability issue is solved by applying a spatial filter to the calculated solution or by using a staggered layout of the flow variables. The latter is of course more appealing. In this paper we will extend the staggered formulation we have developed for compressible flow, see (Boersma, 2005) to the incompressible flow case.
KeywordsDirect Numerical Simulation Laminar Turbulent Transition Dispersion Error Compact Difference Scheme Compact Finite Difference Scheme
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