13 citations · 14 across the 6 of their papers we have counts for
6 papers
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…
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…
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…
Uniform accuracy of implicit-explicit backward differentiation formulas (IMEX-BDF) for linear hyperbolic relaxation systems
Zhiting Ma, Juntao Huang, Wen-An Yong
This work is concerned with the uniform accuracy of implicit-explicit backward differentiation formulas for general linear hyperbolic relaxation systems satisfying the structural s…
Non-relativistic limit of the Euler-HMP approximation model arising in radiation hydrodynamics
Zhiting Ma, Wen-An Yong
In this paper, we are concerned with the non-relativistic limit of a class of computable approximation models for radiation hydrodynamics. The models consist of the compressible Eu…
Learning Thermodynamically Stable and Galilean Invariant Partial Differential Equations for Non-equilibrium Flows
Juntao Huang, Zhiting Ma, Yizhou Zhou +1
In this work, we develop a method for learning interpretable, thermodynamically stable and Galilean invariant partial differential equations (PDEs) based on the Conservation-dissip…