A mass conserving boundary condition for the lattice Boltzmann method for tangentially moving walls

Erwan Le Coupanec and Joris C.G. Verschaeve

Mathematics and Computers in Simulation (MATCOM), 2011, vol. 81, issue 12, 2632-2645

Abstract: In the present discussion a no-slip boundary condition for walls with a tangential movement is derived. The resulting closure is local, conserves mass exactly and is second order accurate with respect to the grid spacing. In addition it avoids the numerical instabilities observed for other types of boundary conditions. Therefore the resulting boundary condition is stable for relaxation frequencies close to two. The present boundary condition is verified for Couette flow, half Poiseuille flow, the second problem of Stokes and flow in a lid-driven square cavity.

Keywords: Numerical stability; Mass conservation; Numerical accuracy (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:81:y:2011:i:12:p:2632-2645

DOI: 10.1016/j.matcom.2011.05.004

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