301 citations · 2.1k across the 98 of their papers we have counts for
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math.NA2019★ 2 cited
High-order gas-kinetic scheme with three-dimensional WENO reconstruction for the Euler and Navier-Stokes solutions
Liang Pan, Kun Xu
In this paper, a simple and efficient third-order weighted essentially non-oscillatory (WENO) reconstruction is developed for three-dimensional flows, in which the idea of two-dime…
math.NA2019★ 50 cited
On unified preserving properties of kinetic schemes
Zhaoli Guo, Jiequan Li, Kun Xu
The kinetic theory provides a physical basis for developing multiscal methods for gas flows covering a wide range of flow regimes. A particular challenge for kinetic schemes is whe…
math.NA2019
High-order gas-kinetic scheme in curvilinear coordinates for the Euler and Navier-Stokes solutions
Liang Pan, Kun Xu
The high-order gas-kinetic scheme (HGKS) has achieved success in simulating compressible flow in Cartesian mesh. To study the flow problem in general geometry, such as the flow ove…