3 papers
math.NA2023
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…
math.NA2023
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…
math.NA2023
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…