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Equivalent partial differential equations of a lattice Boltzmann scheme

✍ Scribed by François Dubois

Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 229 KB
Volume: 55
Category: Article
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2007.08.003

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✦ Synopsis

We show that when we formulate the lattice Boltzmann equation with a small-time step t and an associated space scale x, a Taylor expansion joined with the so-called equivalent equation methodology leads to establishing macroscopic fluid equations as a formal limit. We recover the Euler equations of gas dynamics at the first order and the compressible Navier-Stokes equations at the second order.

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