Rarefied flow computations using nonlinear model Boltzmann equations
Journal of Computational Physics
Coupling Boltzmann and Navier-Stokes equations by friction
Journal of Computational Physics
Coupling Boltzmann and Navier-Stokes equations by half fluxes
Journal of Computational Physics
Coupling of the Boltzmann and Euler equations with automatic domain decomposition
Journal of Computational Physics
Journal of Computational Physics
A Smooth Transition Model between Kinetic and Diffusion Equations
SIAM Journal on Numerical Analysis
A moving interface method for dynamic kinetic-fluid coupling
Journal of Computational Physics
Journal of Computational Physics
A quadrature-based third-order moment method for dilute gas-particle flows
Journal of Computational Physics
An h-adaptive mesh method for Boltzmann-BGK/hydrodynamics coupling
Journal of Computational Physics
A multiscale kinetic-fluid solver with dynamic localization of kinetic effects
Journal of Computational Physics
Journal of Computational Physics
SIAM Journal on Scientific Computing
Fluid Solver Independent Hybrid Methods for Multiscale Kinetic Equations
SIAM Journal on Scientific Computing
Journal of Computational Physics
Microscopically implicit-macroscopically explicit schemes for the BGK equation
Journal of Computational Physics
Exponential Runge-Kutta Methods for Stiff Kinetic Equations
SIAM Journal on Numerical Analysis
Fluid simulations with localized boltzmann upscaling by direct simulation Monte-Carlo
Journal of Computational Physics
Exponential Runge-Kutta for the inhomogeneous Boltzmann equations with high order of accuracy
Journal of Computational Physics
Hi-index | 31.50 |
This paper presents a model which provides a smooth transition between a kinetic and a hydrodynamic domain. The idea is to use a buffer zone, in which both hydrodynamics and kinetic equations will be solved. The solution of the original kinetic equation will be recovered as the sum of the solutions of these two equations. We use an artificial connecting function which makes the equation on each domain degenerate at the end of the buffer zone, thus no boundary condition is needed at the transition point. Consequently, this model avoids the delicate issue of finding the interface condition in a typical domain decomposition method that couples a kinetic equation with hydrodynamic equations. A simple kinetic scheme is developed to discretize our model, and numerical examples are used to validate the method.