Kinetic multiscale scheme based on the discrete-velocity and lattice-Boltzmann methods

Abstract

A novel hybrid computational method based on the discrete-velocity (DV) approximation, including the lattice-Boltzmann (LB) technique, is proposed. Numerical schemes for the kinetic equations are used in regions of rarefied flows, and LB schemes are employed in continuum flow zones. The schemes are written under the finite-volume (FV) formulation to achieve the flexibility of local mesh refinement. The truncated Hermite polynomial expansion is used for matching of DV and LB solutions. Special attention is paid to preserving conservation properties in the coupling algorithm. The test results obtained for the Couette flow of a rarefied gas are in excellent agreement with the benchmark solutions, mostly thanks to mesh refinement (both in the physical and velocity spaces) in the Knudsen layer.

arXiv comment24 pages, 9 figures

References in corpus (9)

• Discretization of the velocity space in solution of the Boltzmann equation
• Efficient kinetic method for fluid simulation beyond the Navier-Stokes equation
• Discrete Boltzmann trans-scale modeling of high-speed compressible flows
• Multiple-Relaxation-Time Lattice Boltzmann Approach to Compressible Flows with Flexible Specific-Heat Ratio and Prandtl Number
• Locally refined discrete velocity grids for stationary rarefied flow simulations
• Kinetic Solvers with Adaptive Mesh in Phase Space
• Multiscale lattice Boltzmann approach to modeling gas flows
• High-order lattice Boltzmann models for wall-bounded flows at finite Knudsen numbers
• Numerical boundary conditions in Finite Volume and Discontinuous Galerkin schemes for the simulation of rarefied flows along solid boundaries