An upwind kinetic flux vector splitting method on general mesh topologies.

*(English)*Zbl 0791.76068Summary: An upwind flux vector splitting algorithm which utilizes the moments of the Boltzmann equation to derive the Euler equations for inviscid compressible flow has been used with a variety of grid types. Although the upwind approach offers the potential for accurate flow simulations, it is necessary to ensure that such procedures can be utilized on realistic grids. In this paper, an upwind algorithm is used with structured multiblock grids, unstructured grids of triangles and hybrid structured/unstructured grids to solve realistic compressible flow problems in two dimensions.

##### MSC:

76M25 | Other numerical methods (fluid mechanics) (MSC2010) |

76N10 | Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics |

65M50 | Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs |

##### Keywords:

moments of the Boltzmann equation; Euler equations; structured multiblock grids; unstructured grids of triangles; hybrid structured/unstructured grids
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\textit{N. P. Weatherill} et al., Int. J. Numer. Methods Eng. 37, No. 4, 623--643 (1994; Zbl 0791.76068)

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