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20072023
most citedDiscrete unified gas kinetic scheme for all Knudsen number flows: II. Compressible case

301 citations · 2.1k across the 98 of their papers we have counts for

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Showing 2016Show all

12 papers · 1 filter

math.RA2016★ 3 cited

Linear commuting maps and skew-symmertric biderivations of the deformative Schrodinger-Virasoro Lie algebras

Guangzhe Fan, Yucai Su, Kun Xu

In this paper, we investigate the skew-symmertric biderivations of the deformative Schrodinger-Virasoro Lie algebras which contain the twisted and original deformative Schrodinger-…

physics.flu-dyn2016★ 1 cited

An investigation of non-equilibrium heat transport in a gas system under external force field

Tianbai Xiao, Kun Xu, Qingdong Cai +1

The gas dynamics under external force field is essentially associated with multiple scale nature due to the large variations of density and local Knudsen number. Single scale fluid…

math.NA2016★ 1 cited

A Few Benchmark Test Cases for Higher-order Euler Solvers

Liang Pan, Jiequan Li, Kun Xu

There have been great efforts on the development of higher-order numerical schemes for compressible Euler equations. The traditional tests mostly targeting on the strong shock inte…

physics.comp-ph2016★ 87 cited

A Unified Gas Kinetic Scheme for Multi-scale and Multi-component Plasma Transport

Chang Liu, Kun Xu

A unified gas kinetic scheme (UGKS) for multi-scale and multi-component plasma transport is constructed. The current scheme is a direct modeling method, where the time evolution so…

physics.comp-ph2016★ 26 cited

A Well-Balanced Unified Gas-Kinetic Scheme for Multiscale Flow Transport Under Gravitational Field

Tianbai Xiao, Qingdong Cai, Kun Xu

The gas dynamics under gravitational field is usually associated with the multiple scale nature due to large density variation and a wide range of local Knudsen number. It is chal-…

physics.flu-dyn2016★ 51 cited

A Paradigm for Modeling and Computation of Gas Dynamics

Kun Xu, Chang Liu

In the continuum flow regime, the Navier-Stokes equations are usually used for the description of gas dynamics. On the other hand, the Boltzmann equation is applied for the rarefie…