Progress in Multi-Dimensional Upwind Differencing

The state of the art in genuinely multi-dimensional upwind differencing has made dramatic advances over the past three years, owing to a shift from the finite-volume approach to the flctuation approach. The basic ingredients for multi-dimensional Euler codes, i.e. wave model, conservation principle and convection scheme, are ready for integration, and the first numerical results look good. The coming years will yield many more Euler applications in two and three dimensions, further improvements in wave models and compact convection schemes, and extension of the approach to the modeling of the Navier-Stokes equations.

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