Multiscale lattice Boltzmann approach to modeling gas flows

Abstract

For multiscale gas flows, kinetic-continuum hybrid method is usually used to balance the computational accuracy and efficiency. However, the kinetic-continuum coupling is not straightforward since the coupled methods are based on different theoretical frameworks. In particular, it is not easy to recover the non-equilibrium information required by the kinetic method which is lost by the continuum model at the coupling interface. Therefore, we present a multiscale lattice Boltzmann (LB) method which deploys high-order LB models in highly rarefied flow regions and low-order ones in less rarefied regions. Since this multiscale approach is based on the same theoretical framework, the coupling precess becomes simple. The non-equilibrium information will not be lost at the interface as low-order LB models can also retain this information. The simulation results confirm that the present method can achieve model accuracy with reduced computational cost.

References in corpus (4)

• Hydrodynamics beyond Navier-Stokes: Exact solution to the lattice Boltzmann hierarchy
• Lattice Boltzmann method at finite-Knudsen numbers
• Renormalization of the Lattice Boltzmann Hierarchy
• Volumetric formulation of lattice Boltzmann models with energy conservation

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• Multi-scale semi-Lagrangian lattice Boltzmann method
• Implementation of the force term in half-range lattice Boltzmann models
• Kinetic multiscale scheme based on the discrete-velocity and lattice-Boltzmann methods
• Discrete unified gas kinetic scheme with force term for incompressible fluid flows