Zobrazeno 1 - 10
of 981
pro vyhledávání: '"Bhatnagar–Gross–Krook operator"'
Autor:
Thomas Sasse, Stefan Brechtken
Publikováno v:
Computers & Mathematics with Applications. 75:503-519
This paper aims at approximations of the collision operator in the Boltzmann equation. The developed framework guarantees the “normality” of the approximation, which means correct collision invariants, H-Theorem, and equilibrium solutions. It fit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::49f1e2f2724f5cf1fbebc9fd3c6c08d9
https://doi.org/10.1016/j.camwa.2017.09.024
https://doi.org/10.1016/j.camwa.2017.09.024
Asymptotic-Preserving and Positivity-Preserving Implicit-Explicit Schemes for the Stiff BGK Equation
Publikováno v:
SIAM Journal on Numerical Analysis. 56:942-973
We develop a family of second-order implicit-explicit (IMEX) schemes for the stiff Bhatnagar--Gross--Krook (BGK) kinetic equation. The method is asymptotic-preserving (can capture the Euler limit without numerically resolving the small Knudsen number
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::075a13553a1ed161122ac48d1cbc2007
https://doi.org/10.1137/17m1144362
https://doi.org/10.1137/17m1144362
Autor:
Ling-Bing He, Yulong Zhou
Publikováno v:
Kinetic & Related Models. 11:547-596
In order to solve the Boltzmann equation numerically, in the present work, we propose a new model equation to approximate the Boltzmann equation without angular cutoff. Here the approximate equation incorporates Boltzmann collision operator with angu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::607a7fa9ddfae2edc5a9d0a6fd893a8e
https://doi.org/10.3934/krm.2018024
https://doi.org/10.3934/krm.2018024
Publikováno v:
Annals of Nuclear Energy. 109:227-236
In this paper, we propose a novel finite volume lattice Boltzmann (FV-LB) scheme to simulate the neutron and radiative transfer problems governed by the linear Boltzmann transport equation (BTE). In the derivation of the FV-LB scheme, we utilize a mu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e808dc4e1629b8de4facce3d79978bd5
https://doi.org/10.1016/j.anucene.2017.05.022
https://doi.org/10.1016/j.anucene.2017.05.022
Autor:
Huimin Wang
Publikováno v:
Advances in Space Research. 60:1261-1270
A lattice Boltzmann model for the Gross-Pitaevskii equation is proposed in this paper. Some numerical tests for one- and two-dimensional Gross-Pitaevskii equation have been conducted. The waves of the Gross-Pitaevskii equation are simulated. Numerica
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7127c1b562b69078c2793c4a741b70fc
https://doi.org/10.1016/j.asr.2017.06.034
https://doi.org/10.1016/j.asr.2017.06.034
Publikováno v:
Advances in Applied Mathematics and Mechanics. 9:1271-1288
Direct numerical simulations of the transition process from steady laminar to chaotic flow are considered in this study with the relatively new incompressible lattice Boltzmann equation. Numerically, a multiple relaxation time fully incompressible la
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5835f4031c6befe2ae575a9261361d6a
https://doi.org/10.4208/aamm.oa-2016-0103
https://doi.org/10.4208/aamm.oa-2016-0103
Autor:
Songting Luo, Nicholas Payne
Publikováno v:
Journal of Computational Physics. 341:295-312
We present an effective asymptotic method for approximating the density of particles for kinetic equations with a Bhatnagar–Gross–Krook (BGK) relaxation operator in the large scale hyperbolic limit. The density of particles is transformed via a H
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::feafb6a8f4294a861d93897e2dd2056e
https://doi.org/10.1016/j.jcp.2017.04.028
https://doi.org/10.1016/j.jcp.2017.04.028
Autor:
Alessandro De Rosis
Publikováno v:
Computer Methods in Applied Mechanics and Engineering. 319:379-392
In this paper, we explore the possibility to derive an original lattice Boltzmann scheme for solving shallow water equations. Specifically, it is proposed to decompose the collision operator by means of a non-orthogonal basis of central moments which
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::81089c5b0380caebb3872c2fcb704d05
https://doi.org/10.1016/j.cma.2017.03.001
https://doi.org/10.1016/j.cma.2017.03.001
Publikováno v:
Journal of the European Mathematical Society. 19:2241-2267
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2c6286ba180558fd0dd45a62b29c1110
https://doi.org/10.4171/jems/717
https://doi.org/10.4171/jems/717
Publikováno v:
Applied Mathematics Letters. 114:106911
In this paper, a novel D2Q9 lattice Boltzmann model with BGK operator (LBGK) is proposed for the incompressible time-fractional Navier–Stokes equations with Caputo-type fractional derivative. First the fractional derivative is divided into the hist
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::58c2bffe42013a1e049b37b61e679f60
https://doi.org/10.1016/j.aml.2020.106911
https://doi.org/10.1016/j.aml.2020.106911