Progress in the development of a new lattice Boltzmann method
| Autor: | Sau Chung Fu, Ronald M. C. So, Randolph C. K. Leung, E. W. S. Kam |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Physics
General Computer Science General Engineering Lattice Boltzmann methods Mechanics Nonlinear Sciences::Cellular Automata and Lattice Gases 01 natural sciences Boltzmann equation 010305 fluids & plasmas 010101 applied mathematics symbols.namesake Distribution function Mach number Incompressible flow 0103 physical sciences symbols Vector field Particle velocity Boundary value problem 0101 mathematics |
| Zdroj: | Computers & Fluids. 190:440-469 |
| ISSN: | 0045-7930 |
| DOI: | 10.1016/j.compfluid.2019.04.009 |
| Popis: | A new modeled Boltzmann equation (MBE) with four improvements made to conventional MBE is formulated. The first improvement is to include the particle internal rotational degree of freedom in the derivation of a continuous equilibrium velocity distribution function f eq; thus, rendering the MBE applicable to diatomic gas. The second improvement is made in the expansion assumed for fαeq in the lattice Boltzmann equation (LBE). This expansion is expressed in terms of the particle velocity vector (ξ) alone; hence, the LBE is no longer limited by a very low Mach number (M) assumption, and it also allows the LBE to correctly satisfy the zero divergence of the velocity field for incompressible flow. The third improvement is made to eliminate the bounce-back rule used to model no-slip wall boundary condition for fα because the rule leads to leakage at solid walls and mass conservation is compromised. The fourth improvement is carried out to render the modeled LBE truly valid for hydrodynamic flow simulation. Thus improved, the new lattice Boltzmann method (LBM) is no longer subject to the M |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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