We investigate a two-relaxation-time(TRT)lattice Boltzmann algorithm with the asymptotic analysis technique.The results are used to analyze invariance properties of the method.In particular,we focus on time dependent ...We investigate a two-relaxation-time(TRT)lattice Boltzmann algorithm with the asymptotic analysis technique.The results are used to analyze invariance properties of the method.In particular,we focus on time dependent Stokes and Navier-Stokes problems.展开更多
We show the methodology and advantages of asymptotic analysis when applied to lattice Boltzmann outflow treatments.On the one hand,one can analyze outflow algorithms formulated directly in terms of the lattice Boltzma...We show the methodology and advantages of asymptotic analysis when applied to lattice Boltzmann outflow treatments.On the one hand,one can analyze outflow algorithms formulated directly in terms of the lattice Boltzmann variables,like the extrapolation method,to find the induced outflow conditions in terms of the NavierStokes variables.On the other hand,one can check the consistency and accuracy of lattice Boltzmann outflow treatments to given hydrodynamic outflow conditions like the Neumann or average pressure condition.As example how the gained insight can be used,we propose an improvement of the well known extrapolation method.展开更多
文摘We investigate a two-relaxation-time(TRT)lattice Boltzmann algorithm with the asymptotic analysis technique.The results are used to analyze invariance properties of the method.In particular,we focus on time dependent Stokes and Navier-Stokes problems.
文摘We show the methodology and advantages of asymptotic analysis when applied to lattice Boltzmann outflow treatments.On the one hand,one can analyze outflow algorithms formulated directly in terms of the lattice Boltzmann variables,like the extrapolation method,to find the induced outflow conditions in terms of the NavierStokes variables.On the other hand,one can check the consistency and accuracy of lattice Boltzmann outflow treatments to given hydrodynamic outflow conditions like the Neumann or average pressure condition.As example how the gained insight can be used,we propose an improvement of the well known extrapolation method.
