Lattice Boltzmann scheme for mixture modeling: Analysis of the continuum diffusion regimes recovering Maxwell-Stefan model and incompressible Navier-Stokes equations

Lattice Boltzmann scheme for mixture modeling: analysis of the continuum diffusion regimes recovering Maxwell-Stefan model and incompressible Navier-Stokes equations.

A finite difference lattice Boltzmann scheme for homogeneous mixture modeling, which recovers Maxwell-Stefan diffusion model in the continuum limit, without the restriction of the mixture-averaged diffusion approximation, was recently proposed [P. Asinari, Phys. Rev. E 77, 056706 (2008)]. The theoretical basis is the Bhatnagar-Gross-Krook-type kinetic model for gas mixtures [P. Andries, K. Aoki...

Lattice-Boltzmann type relaxation systems and high order relaxation schemes for the incompressible Navier-Stokes equations

A relaxation system based on a Lattice-Boltzmann type discrete velocity model is considered in the low Mach number limit. A third order relaxation scheme is developed working uniformly for all ranges of the mean free path and Mach number. In the incompressible Navier-Stokes limit the scheme reduces to an explicit high order finite difference scheme for the incompressible Navier-Stokes equations...

An Upwind-Differencing Scheme for the Incompressible Navier-Stokes Equations

A High Order Numerical Scheme for Incompressible Navier-Stokes Equations

To solve the incompressible Navier-Stokes equations in a generalized coordinate system, a high order solver is presented. An exact projection method/fractional-step scheme is used in this study. Convective terms of the Navier-Stokes (N-S) equations are solved using fifthorder WENO spatial operators, and for the diffusion terms, a sixthorder compact central difference scheme is employed. The thi...

Preconditioners for the incompressible Navier Stokes equations

Computational Fluid Dynamics is frequently used nowadays to understand the flow in rivers, blood veins, around cars and planes, etc. This tool can also be used to make better cars and planes and to design dams and dikes to protect against flooding. In this talk we consider simulation with the incompressible Navier Stokes equations. After discretization by the Finite Element Method and lineariza...