7 papers
A hyperbolic relaxation system of the incompressible Navier-Stokes equations with artificial compressibility
Qian Huang, Christian Rohde, Wen-An Yong +1
We introduce a new hyperbolic approximation to the incompressible Navier-Stokes equations by incorporating a first-order relaxation and using the artificial compressibility method.…
Combining Hyperbolic Quadrature Method of Moments and Discrete-Velocity-Direction Models for Solving BGK-type Equations
Tianshu Li, Yihong Chen, Qian Huang
This paper introduces the discrete-velocity-direction model (DVDM) in conjunction with the hyperbolic quadrature method of moments (HyQMOM) to develop a multidimensional spatial-te…
Dissipativeness of the hyperbolic quadrature method of moments for kinetic equations
Ruixi Zhang, Yihong Chen, Qian Huang +1
This paper presents a dissipativeness analysis of a quadrature method of moments (called HyQMOM) for the one-dimensional BGK equation. The method has exhibited its good performance…
Poisson quadrature method of moments for 2D kinetic equations with velocity of constant magnitude
Yihong Chen, Qian Huang, Wen-An Yong +1
This work is concerned with kinetic equations with velocity of constant magnitude. We propose a quadrature method of moments based on the Poisson kernel, called Poisson-EQMOM. The…
Stability analysis of an extended quadrature method of moments for kinetic equations
Ruixi Zhang, Qian Huang, Wen-An Yong
This paper performs a stability analysis of a class of moment closure systems derived with an extended quadrature method of moments (EQMOM) for the one-dimensional BGK equation. Th…
Discrete-velocity-direction models of BGK-type with minimum entropy: II. Weighted models
Yihong Chen, Qian Huang, Wen-An Yong
In this series of works, we develop a discrete-velocity-direction model (DVDM) with collisions of BGK-type for simulating gas flows, where the molecular motion is confined to some…
Discrete-velocity-direction models of BGK-type with minimum entropy: I. Basic idea
Huang Qian, Chen Yihong, Yong Wen-An
In this series of works, we develop a discrete-velocity-direction model (DVDM) with collisions of BGK-type for simulating rarefied flows. Unlike the conventional kinetic models (bo…