4 papers
A Conservative Multi-Level Adaptive Velocity-Space Method for the Discrete Unified Gas-Kinetic Scheme
Weijie Ren, Hang Yu, Zhengyu Tian +2
Multiscale gas flows often span a wide range of Knudsen numbers, from near-continuum to highly rarefied and strongly nonequilibrium conditions. Such flows require kinetic solvers t…
MSAT: Matrix stability analysis tool for shock-capturing schemes
Weijie Ren, Wenjia Xie, Ye Zhang +2
The simulation of supersonic or hypersonic flows often suffers from numerical shock instabilities if the flow field contains strong shocks, limiting the further application of shoc…
Numerical stability analysis of shock-capturing methods for strong shocks II: high-order finite-volume schemes
Weijie Ren, Wenjia Xie, Ye Zhang +2
The shock instability problem commonly arises in flow simulations involving strong shocks, particularly when employing high-order schemes, limiting their applications in hypersonic…
Numerical stability analysis of shock-capturing methods for strong shocks I: second-order MUSCL schemes
Weijie Ren, Wenjia Xie, Ye Zhang +2
Modern shock-capturing schemes often suffer from numerical shock anomalies if the flow field contains strong shocks, which may limit their further application in hypersonic flow co…