In this short paper, we intend to describe one way to construct arbitrarily high order kinetic schemes on regular meshes. The method can be arbitrarily high order in space and time, and run at CFL one. This is a common feature with the Lattice Boltzmann Methods. However, the type of Maxwellian we use here are different. This results in very simple and CPU efficient methods.

Some preliminary results on a high order asymptotic preserving computationally explicit kinetic scheme / Abgrall, R.; Torlo, D.. - In: COMMUNICATIONS IN MATHEMATICAL SCIENCES. - ISSN 1539-6746. - 20:2(2022), pp. 297-326. [10.4310/cms.2022.v20.n2.a1]

Some preliminary results on a high order asymptotic preserving computationally explicit kinetic scheme

Torlo, D.
2022

Abstract

In this short paper, we intend to describe one way to construct arbitrarily high order kinetic schemes on regular meshes. The method can be arbitrarily high order in space and time, and run at CFL one. This is a common feature with the Lattice Boltzmann Methods. However, the type of Maxwellian we use here are different. This results in very simple and CPU efficient methods.
2022
Kinetic scheme; asymptotic preserving; high order; stability analysis
01 Pubblicazione su rivista::01a Articolo in rivista
Some preliminary results on a high order asymptotic preserving computationally explicit kinetic scheme / Abgrall, R.; Torlo, D.. - In: COMMUNICATIONS IN MATHEMATICAL SCIENCES. - ISSN 1539-6746. - 20:2(2022), pp. 297-326. [10.4310/cms.2022.v20.n2.a1]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1707522
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