Lattice Boltzmann model for the volume-averaged Navier-Stokes equations
نویسندگان
چکیده
منابع مشابه
Navier - Stokes equations for stochastic lattice
We discuss the diiusive limit of a class of stochastic lattice gases on the cubic lattice Z d. If the initial conditions correspond to a local equilibrium with small deviations from a spatially constant proole, we prove the law of large numbers for the rescaled empirical velocity eld. The limiting eld satisses the Navier-Stokes equation and the viscosity is characterized by variational formulas...
متن کاملLattice-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...
متن کاملCoupled double-distribution-function lattice Boltzmann method for the compressible Navier-Stokes equations.
A coupled double-distribution-function lattice Boltzmann method is developed for the compressible Navier-Stokes equations. Different from existing thermal lattice Boltzmann methods, this method can recover the compressible Navier-Stokes equations with a flexible specific-heat ratio and Prandtl number. In the method, a density distribution function based on a multispeed lattice is used to recove...
متن کاملTwo-dimensional finite-difference lattice Boltzmann method for the complete Navier-Stokes equations of binary fluids
– Based on Sirovich’s two-fluid kinetic theory and a dodecagonal discrete velocity model, a two-dimensional 61-velocity finite-difference lattice Boltzmann method for the complete Navier-Stokes equations of binary fluids is formulated. Previous constraints, in most existing lattice Boltzmann methods, on the studied systems, like isothermal and nearly incompressible, are released within the pres...
متن کاملThe Anisotropic Lagrangian Averaged Euler and Navier-Stokes Equations
The purpose of this paper is twofold. First, we give a derivation of the Lagrangian averaged Euler (LAE-α) and Navier-Stokes (LANS-α) equations. This theory involves a spatial scale α and the equations are designed to accurately capture the dynamics of the Euler and Navier-Stokes equations at length scales larger than α, while averaging the motion at scales smaller than α. The derivation involv...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: EPL (Europhysics Letters)
سال: 2014
ISSN: 0295-5075,1286-4854
DOI: 10.1209/0295-5075/107/20001