The lattice Boltzmann equation has been introduced about twenty years ago as a new paradigm for computational °uid dynamics. In this paper, we revisit the main formulation of the lattice Boltzmann collision integral (matrix model) and introduce a new two-parametric family of collision operators which permits to combine enhanced stability and accuracy of matrix models with the outstanding simplicity of the most popular single-relaxation time schemes. The option of the revised lattice Boltzmann equation is demonstrated through numerical simulations of a three-dimensional lid driven cavity.

Matrix lattice Boltzmann reloaded / Karlin, I.; Asinari, Pietro; Succi, S.. - In: PHILOSOPHICAL TRANSACTIONS - ROYAL SOCIETY. MATHEMATICAL, PHYSICAL AND ENGINEERING SCIENCES. - ISSN 1471-2962. - 369:1944(2011), pp. 2202-2210. [10.1098/rsta.2011.0061]

Matrix lattice Boltzmann reloaded

ASINARI, PIETRO;
2011

Abstract

The lattice Boltzmann equation has been introduced about twenty years ago as a new paradigm for computational °uid dynamics. In this paper, we revisit the main formulation of the lattice Boltzmann collision integral (matrix model) and introduce a new two-parametric family of collision operators which permits to combine enhanced stability and accuracy of matrix models with the outstanding simplicity of the most popular single-relaxation time schemes. The option of the revised lattice Boltzmann equation is demonstrated through numerical simulations of a three-dimensional lid driven cavity.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2381348
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