3 papers
math.NA2026
Validity of relaxation models arising from numerical schemes for hyperbolic-parabolic systems
Zhiting Ma, Weifeng Zhao
This work is concerned with relaxation models arising from numerical schemes for hyperbolic-parabolic systems. Such models are a hyperbolic system with both the hyperbolic part and…
math.NA2025
Uniform accuracy of implicit-explicit Runge-Kutta methods for linear hyperbolic relaxation systems
Zhiting Ma, Juntao Huang
In this paper, we study the uniform accuracy of implicit-explicit (IMEX) Runge-Kutta (RK) schemes for general linear hyperbolic relaxation systems satisfying the structural stabili…
math.AP2025
A thermodynamics-based turbulence model for isothermal compressible flows
Zhiting Ma, Wen-An Yong, Yi Zhu
This study presents a new turbulence model for isothermal compressible flows. The model is derived by combining the Favre averaging and the Conservation-dissipation formalism -- a…