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Published in 2018 at "Journal of Statistical Physics"
DOI: 10.1007/s10955-018-2063-4
Abstract: An important aspect of constructing discrete velocity models (DVMs) for the Boltzmann equation is to obtain the right number of collision invariants. Unlike for the Boltzmann equation, for DVMs there can appear extra collision invariants,…
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Keywords:
discrete velocity;
polyatomic molecules;
collision invariants;
velocity models ... See more keywords
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Published in 2017 at "Bulletin of Mathematical Biology"
DOI: 10.1007/s11538-016-0235-4
Abstract: We introduce a mesoscopic scale chemotaxis model for traveling wave phenomena which is induced by food metric. The organisms of this simplified kinetic model have two discrete velocity modes, $$\pm s$$±s and a constant tumbling…
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Keywords:
discrete velocity;
food metric;
traveling waves;
model ... See more keywords
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Published in 2019 at "Physical review. E"
DOI: 10.1103/physreve.100.043305
Abstract: Discrete unified gas-kinetic scheme (DUGKS) is a multiscale numerical method for flows from continuum limit to free molecular limit, and is especially suitable for the simulation of multiscale flows, benefiting from its multiscale property. To…
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Keywords:
velocity;
discrete unified;
velocity space;
discrete velocity ... See more keywords
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Published in 2022 at "Physical review. E"
DOI: 10.1103/physreve.105.045312
Abstract: A discrete-velocity Boltzmann model for a nine-velocity lattice is considered. Compared to the conventional lattice Boltzmann (LB) schemes the collisions for the model are defined explicitly. Space and time discretization of the model is based…
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Keywords:
stability;
discrete velocity;
velocity boltzmann;
model ... See more keywords
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Published in 2020 at "Journal of Thermophysics and Heat Transfer"
DOI: 10.2514/1.t5741
Abstract: The formulation of computationally efficient methods describing gas mixtures at kinetic level suitable for demanding aerospace applications presents significant challenges. This work presents a gas...
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Keywords:
gas;
velocity method;
method;
comparison discrete ... See more keywords