A multidimensional gas-kinetic BGK scheme for hypersonic viscous flow

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A unified gas-kinetic scheme for continuum and rarefied flows (2011, methodology): “Since the BGK–NS is an accurate Navier–Stokes flow solver for the linear dissipative contact wave [34,36,37], its solution can be used as a benchmark NS solution.”
A Unified Gas-Kinetic Scheme for Continuum and Rarefied Flows II: Multi-Dimensional Cases (2012, methodology): “After twenty years’ effort on the development of the gas-kinetic schemes [23, 26, 27, 29, 30, 32, 33], we have finally obtained a consistent gas-kinetic equation-based modeling method for all Knudsen number flow regimes.”