GAUSS QUADRATURES – THE KEYSTONE OF LATTICE BOLTZMANN MODELS
نویسندگان
چکیده
منابع مشابه
Gauss-Hermite quadratures and accuracy of lattice Boltzmann models for nonequilibrium gas flows.
Recently, kinetic theory-based lattice Boltzmann (LB) models have been developed to model nonequilibrium gas flows. Depending on the order of quadratures, a hierarchy of LB models can be constructed which we have previously shown to capture rarefaction effects in the standing-shear wave problems. Here, we further examine the capability of high-order LB models in modeling nonequilibrium flows co...
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We study the kernels Kn,s(z) in the remainder terms Rn,s(f) of the Gauss-Turán quadrature formulae for analytic functions on elliptical contours with foci at ±1, when the weight ω is a generalized Chebyshev weight function. For the generalized Chebyshev weight of the first (third) kind, it is shown that the modulus of the kernel |Kn,s(z)| attains its maximum on the real axis (positive real semi...
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ژورنال
عنوان ژورنال: International Journal of Modern Physics C
سال: 2013
ISSN: 0129-1831,1793-6586
DOI: 10.1142/s0129183113400160