A Generalised Lattice Boltzmann Equation on Unstructured Grids
作者机构：Universit`a degli Studi di Roma“Tor Vergata”Dip.Ingegneria MeccanicaVia del Politecnico10133 RomaItalia Istituto Applicazioni del Calcolo CNRVia del Policlinico13700161 RomaItalia.
出 版 物：《Communications in Computational Physics》 (计算物理通讯（英文）)
年 卷 期：2008年第3卷第2期
页 面：342-356页
核心收录：
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：Lattice Boltzmann equation finite-volumes unstructured grids memory term.
摘 要：This paper presents a new finite-volume discretization of a generalised LatticeBoltzmann equation (LBE) on unstructured grids. This equation is the continuumLBE, with the addition of a second order time derivative term (memory), and is derivedfrom a second-order differential form of the semi-discrete Boltzmann equationin its implicit form. The new scheme, named unstructured lattice Boltzmann equationwith memory (ULBEM), can be advanced in time with a larger time-step than the previousunstructured LB formulations, and a theoretical demonstration of the improvedstability is provided. Taylor vortex simulations show that the viscosity is the same aswith standard ULBE and demonstrates that the new scheme improves both stabilityand accuracy. Model validation is also demonstrated by simulating backward-facingstep flow at low and moderate Reynolds numbers, as well as by comparing the reattachmentlength of the recirculating eddy behind the step against experimental andnumerical data available in literature.
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