Stable simulation of fluid flow with high-Reynolds number using Ehrenfests' steps
Numerical Algorithms, 2007•Springer
Abstract The Navier–Stokes equations arise naturally as a result of Ehrenfests' coarse-
graining in phase space after a period of free-flight dynamics. This point of view allows for a
very flexible approach to the simulation of fluid flow for high-Reynolds number. We construct
regularisers for lattice Boltzmann computational models. These regularisers are based on
Ehrenfests' coarse-graining idea and could be applied to schemes with either entropic or
non-entropic quasiequilibria. We give a numerical scheme which gives good results for the …
graining in phase space after a period of free-flight dynamics. This point of view allows for a
very flexible approach to the simulation of fluid flow for high-Reynolds number. We construct
regularisers for lattice Boltzmann computational models. These regularisers are based on
Ehrenfests' coarse-graining idea and could be applied to schemes with either entropic or
non-entropic quasiequilibria. We give a numerical scheme which gives good results for the …
Abstract
The Navier–Stokes equations arise naturally as a result of Ehrenfests’ coarse-graining in phase space after a period of free-flight dynamics. This point of view allows for a very flexible approach to the simulation of fluid flow for high-Reynolds number. We construct regularisers for lattice Boltzmann computational models. These regularisers are based on Ehrenfests’ coarse-graining idea and could be applied to schemes with either entropic or non-entropic quasiequilibria. We give a numerical scheme which gives good results for the standard test cases of the shock tube and the flow past a square cylinder.
Springer
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