A flux consistent implementation of flux vector splitting

Enhancements to the Flux Vector Splitting methodology are presented which utilize an original formulation of the flux vector eigenvalues. Proper representation of the inviscid flux amplitudes motivates a requirement for total flux consistency in the new inviscid flux scheme. Identification of the flux errors in this new method, called a Flux Consistent scheme, are facilitated by a simple algebraic technique for analyzing the total inviscid flux amplitudes. This technique is also applied to the Steger-Warming, and van Leer Flux Vector Splitting schemes to establish explicit representations of the dissipation errors in these commonly used methods. In addition, thermochemical nonequilibrium Navier Stokes simulations for the forebody of a 10cm sphere traveling at 7 km/sec in Nitrogen are compared for the Flux Consistent, and Steger-Warming methods. The Flux Consistent simulations utilize an Essentially Non-Oscillatory variable stencil without the use of any artificial dissipation or Total Variation Diminishing flux limiter. These simulations demonstrate that the Flux Consistent scheme can provide excellent solutions which are free of sonic line issues without the use of an eigenvalue limiter.