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Upwind finite-volume Navier-Stokes computations on unstructured triangular meshes. (English) Zbl 0783.76078
A Navier-Stokes solver using upwind finite-volume method on unstructured triangular meshes is developed and tested. A Godunov-type upwind method is used for inviscid flux computations. An accurate linear reconstruction is used to compute the two Riemann states at the cell face, and Roe’s approximate Riemann solver is solved for inviscid fluxes. A finite-volume formulation for the viscous terms, which can be second-order accurate for a large class of triangular cells, is developed and tested. The algebraic Baldwin-Lomax turbulence model is implemented via the use of a turbulence reference grid, the only purpose of which is to provide necessary length scales to the model.

76M25 Other numerical methods (fluid mechanics) (MSC2010)
76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
76F10 Shear flows and turbulence
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