Quartic Parameters for Acoustic Applications of Lattice Boltzmann Scheme

Details Quartic Parameters for Acoustic Applications of Lattice Boltzmann Scheme Quartic Parameters for Acoustic Applications of Lattice Boltzmann Scheme

2010-01-29

arxiv.org/abs/1001.5331v3

Computers and Mathematics with Applications 61 (2011) 3404-3416

Mathematics

Numerical Analysis

23 pages

Scientific paper

10.1016/j.camwa.2011.01.011

Using the Taylor expansion method, we show that it is possible to improve the lattice Boltzmann method for acoustic applications. We derive a formal expansion of the eigenvalues of the discrete approximation and fit the parameters of the scheme to enforce fourth order accuracy. The corresponding discrete equations are solved with the help of symbolic manipulation. The solutions are explicited in the case of D3Q27 lattice Boltzmann scheme. Various numerical tests support the coherence of this approach.

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