A characteristic-type formulation of the Navier-Stokes equations for high-order upwind schemes. (English) Zbl 0991.76056
Author’s summary: We propose a formulation of three-dimensional Navier-Stokes equations, which decomposes the inviscid part of the equations into several plane waves aligned with the numerical grid. The resulting equations are very well suited to numerical solution by compact high-order upwind schemes. Boundary conditions and blockwise decomposition of the computational domain are particularly straightforward. Such advantages make the formulation attractive, even when using central or pseudospectral differencing methods. Numerical examples are presented.
Reviewer: A.Meister (Hamburg)
MSC:
| 76M20 | Finite difference methods applied to problems in fluid mechanics |
| 76N15 | Gas dynamics (general theory) |
Keywords:
finite difference method; pseudospectral method; three-dimensional Navier-Stokes equations; inviscid part; plane waves; high-order upwind schemes; decompositionReferences:
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