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Equivalent partial differential equations of a lattice Boltzmann scheme

Equivalent partial differential equations of a lattice Boltzmann scheme,10.1016/j.camwa.2007.08.003,Computers & Mathematics With Applications,François

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Equivalent partial differential equations of a lattice Boltzmann scheme   (Citations: 4)
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We show that when we formulate the lattice Boltzmann equation with a small-time step Δt and an associated space scale Δx, 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.
Journal: Computers & Mathematics With Applications - COMPUT MATH APPL , vol. 55, no. 7, pp. 1441-1449, 2008
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