SciCADE 2013
International Conference on Scientific Computation and Differential Equations
September 16-20, 2013, Valladolid (Spain)

Invited Talk

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Asymptotic analysis of LB for fluid-structure interaction: boundaries, forces and coupling schemes

A. Caiazzo

Recent development of LB schemes offer a variety of algorithms to incorporate different boundary conditions and deal with the fluid-solid interactions. We discuss some of these issues from the point of view of asymptotic analysis [1, 2], in particular discussing the consistency of the conditions at the fluid-solid interface for no-slip conditions, immersed boundary approaches, Lees-Edwards boundaries and force evaluation via Momentum-Exchange [3, 4]. Finally, asymptotic analysis of coupling scheme will be discussed.

[1] M. Junk, A. Klar and L.-S. Luo, Asymptotic Analysis of LBE, J. Comp. Phys., 210 (2005), pp. 676-704.
[2] A. Caiazzo, M. Junk and M. Rheinländer, Comparison of analysis techniques for the lattice Boltzmann method, Comp. Math. w. Appl., 58 (2009), pp. 883-897.
[3] A. Caiazzo, Asymptotic analysis of lattice Boltzmann method for fluid-structure interaction problems PhD Thesis, SNS Pisa and TU Kaiserslautern (2007).
[4] A. Caiazzo and M. Junk. Boundary Forces in lattice Boltzmann: analysis of Momentum Exchange algorithm, Comp. Math. w. Appl., 55 (2008), pp. 415-1423.

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