2 papers
math.NA2025
Stability of the first-order unified gas-kinetic scheme based on a linear kinetic model
Tuowei Chen, Kun Xu
The unified gas-kinetic scheme (UGKS) is becoming increasingly popular for multiscale simulations in all flow regimes. This paper provides the first analytical study on the stabili…
math.NA2023
Relaxation schemes for entropy dissipative system of viscous conservation laws
Tuowei Chen, Jiequan Li
In this paper, we introduce a hyperbolic model for entropy dissipative system of viscous conservation laws via a flux relaxation approach. We develop numerical schemes for the resu…