Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
470078 | Computers & Mathematics with Applications | 2008 | 9 Pages |
Abstract
In this paper we describe an extension of a recently developed lattice Boltzmann method for solving the advection–diffusion equation. Our proposed approach allows to couple grids of different grid resolutions and includes a staggered timestepping scheme, interpolations in space and time and finally a scaling step ensuring the continuity of the desired macroscopic quantities across the grid interface.After validating the basic lattice Boltzmann method on a uniform grid by a convergence study of analytic problems we demonstrate the consistency of our approach by solving benchmark problems and comparing results on uniform grids and multiply locally refined grids.
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Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Maik Stiebler, Jonas Tölke, Manfred Krafczyk,