Quartic Parameters for Acoustic Applications of Lattice Boltzmann Scheme

Abstract

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.

23 pages

References in corpus (2)

• Equivalent partial differential equations of a lattice Boltzmann scheme
• On a superconvergent lattice Boltzmann boundary scheme

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• A Structured Approach to the Construction of Stable Linear Lattice-Boltzmann Collision Operators
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