Some remarks on the renormalization group and Chapman‐Enskog type methods in singularly perturbed problems
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6273
Abstract: In this paper, we show that for a large class of singularly perturbed problems, the classical Chapman‐Enskog asymptotic procedure leads, in a shorter way, to the same asymptotic expansion as the renormalization group (RG) approach.… read more here.
Keywords: perturbed problems; singularly perturbed; chapman enskog; renormalization group ... See more keywords
Consistency study of Lattice-Boltzmann schemes macroscopic limit
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DOI: 10.1063/5.0039490
Abstract: Owing to the lack of consensus about the way Chapman–Enskog should be performed, a new Taylor-expansion of lattice-Boltzmann models is proposed. In contrast to the Chapman–Enskog expansion, recalled in this manuscript, the method only assumes… read more here.
Keywords: lattice boltzmann; chapman enskog; consistency study; lattice ... See more keywords
Relativistic dissipation obeys Chapman-Enskog asymptotics: Analytical and numerical evidence as a basis for accurate kinetic simulations.
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DOI: 10.1103/physreve.99.052126
Abstract: We present an analytical derivation of the transport coefficients of a relativistic gas in (2+1) dimensions for both Chapman-Enskog (CE) asymptotics and Grad's expansion methods. We further develop a systematic calibration method, connecting the relaxation… read more here.
Keywords: obeys chapman; enskog asymptotics; basis; relativistic dissipation ... See more keywords