K Xu, JC Huang - Journal of Computational Physics, 2010 - Elsevier
With discretized particle velocity space, a multiscale unified gas-kinetic scheme for entire Knudsen number flows is constructed based on the BGK model. The current scheme …
Computational fluid dynamics (CFD) studies the flow motion in a discretized space. Its basic scale resolved is the mesh size and time step. The CFD algorithm can be constructed …
L Pan, K Xu, Q Li, J Li - Journal of Computational Physics, 2016 - Elsevier
For computational fluid dynamics (CFD), the generalized Riemann problem (GRP) solver and the second-order gas-kinetic scheme (GKS) provide a time-accurate flux function …
JC Huang, K Xu, P Yu - Communications in Computational Physics, 2012 - cambridge.org
With discretized particle velocity space, a multi-scale unified gas-kinetic scheme for entire Knudsen number flows has been constructed based on the kinetic model in one …
G Kumar, SS Girimaji, J Kerimo - Journal of Computational Physics, 2013 - Elsevier
The recently developed Gas Kinetic Method (GKM) for computing fluid flow is enhanced with advanced reconstruction (interpolation) schemes to enable direct simulations of highly …
X Ji, F Zhao, W Shyy, K Xu - Journal of Computational Physics, 2018 - Elsevier
Most high order computational fluid dynamics (CFD) methods for compressible flows are based on Riemann solver for the flux evaluation and Runge–Kutta (RK) time stepping …
X Ji, L Pan, W Shyy, K Xu - Journal of Computational Physics, 2018 - Elsevier
In this paper, a fourth-order compact gas-kinetic scheme (GKS) is developed for the compressible Euler and Navier–Stokes equations under the framework of two-stage fourth …
This Element presents a unified computational fluid dynamics framework from rarefied to continuum regimes. The framework is based on the direct modelling of flow physics in a …