Spectral analysis of flux vector splitting finite volume methods

New results are presented here for finite volume (FV) methods that use flux vector splitting (FVS) along with higher-order reconstruction schemes. Apa rt from spectral accuracy of the resultant methods, the numerical stability is investigated which restricts the allowable time step or the Courant-Fri edrich-Lewy (CFL) number. Also the dispersion relation preservation (DRP) p roperty of various spatial and temporal discretization schemes is investiga ted. The DRP property simultaneously fixes space and time steps. This aspec t of numerical schemes is important for simulation of high-Reynolds number flows, compressible flows with shock(s) and computational aero-acoustics. I t is shown here that for direct numerical simulation applications, the DRP property is more restrictive than stability criteria. Copyright (C) 2001 Jo hn Wiley & Sons, Ltd.