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A multidimensional flux function with applications to the Euler and Navier-Stokes equations. (English) Zbl 0767.76039
A grid-independent approximate Riemann solver has been developed for use in both two- and three-dimensional flows governed by the Euler or Navier- Stokes equations. Fluxes on grid faces are obtained via wave decomposition. By assuming that information propagates in the velocity- difference directions, rather than in the grid-normal directions as in a standard grid-aligned solver, this flux function more appropriately interprets and hence more accurately resolves shock and shear waves when these lie oblique to the grid.

MSC:
76M20 Finite difference methods applied to problems in fluid mechanics
76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
76L05 Shock waves and blast waves in fluid mechanics
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