Kinetic Projection and Stability in Lattice-Boltzmann Schemes
Philippi,Paulo C.; Mattila,Keijo K.; Hegele Júnior ,Luiz A.; Siebert,Diogo Nardelli (2015)
Hegele Júnior ,Luiz A.
Brazilian Association of Computational Methods in Engineering
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The lattice-Boltzmann equation is a low-order approximation of the Boltzmann equation (BE) and its solution involve errors affected by high-order moments that cannot be controlled or retrieved with this approximation. These 'ghost' moments contribute to instability issues. The regularization method is discussed in this paper in connection with kinetic projections and we show that solutions of the LB equations, with improved stability ranges, may be found, in a systematic way, based on increasingly order projections of the continuous Boltzmann equation (BE) onto subspaces generated by finite set of Hermite polynomials.
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