277 citations · 756 across the 24 of their papers we have counts for
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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…
A wave-particle decomposition framework for multiscale kinetic transport: continuous-spectrum equations and coupled wave-particle iteration
Chang Liu, Kun Xu
The wave-particle decomposition is presented as a framework for multiscale kinetic transport, comprising a theory and an algorithm. Along the characteristics of the kinetic equatio…
Unified Gas-Kinetic Wave-Particle Method for Multiscale Simulation of Vlasov-Poisson-Fokker-Planck System
Zhigang Pu, Chang Liu, Yixiao Wang +1
A unified gas-kinetic wave--particle method with Fokker--Planck collisions (UGKWP-FP) is developed for the Vlasov--Poisson--Fokker--Planck system. The collision operator is modeled…
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…