277 citations · 277 across the 3 of their papers we have counts for
6 papers
An implicit multiscale solver for steady kinetic equations based on wave-particle decomposition
Chang Liu, Kun Xu
Steady kinetic computations require accurate transport on meshes that do not resolve the mean free path and efficient removal of slowly decaying macroscopic errors. We develop a cl…
Wave-Particle Decomposition for Kinetic Equations II: Full Boltzmann equation
Chang Liu, Kun Xu
The wave-particle decomposition of kinetic relaxation equations is extended to the full Boltzmann equation. An identity transformation writes the collision term as a relaxation tow…
Wave-Particle Decomposition for Kinetic Equations I: Theory and Numerics
Chang Liu, Kun Xu
This paper presents a wave-particle decomposition (WPD) for kinetic relaxation equations, formulated around a local evolution timescale and its associated kinetic horizon. By lever…
Finite Difference Implementation of a High-order Space-Time Coupled Compact Gas-Kinetic Scheme
Fengxiang Zhao, Yibing Chen, Kun Xu
This study presents a high-order compact finite difference gas-kinetic scheme (FD-CGKS) that introduces a novel spatial discretization strategy for the efficient implementation of…
A Hybrid Gas-Kinetic Scheme and Discrete Velocity Method for Continuum and Rarefied Flows
Hangkong Wu, Yuze Zhu, Yajun Zhu +1
The gas-kinetic scheme (GKS) provides high computational efficiency and accuracy for continuum flow simulations but is unable to reliably capture rarefaction effects. In contrast,…
A Unified Gas-kinetic Scheme for Continuum and Rarefied Flows IV: full Boltzmann and Model Equations
Chang Liu, Kun Xu, Quanhua Sun +1
Fluid dynamic equations are valid in their respective modeling scales. With a variation of the modeling scales, theoretically there should have a continuous spectrum of fluid dynam…