246 citations · 723 across the 62 of their papers we have counts for
62 papers
On Well-posed Boundary Conditions for the Linear Non-homogeneous Moment Equations in Half-space
Ruo Li, Yichen Yang
We propose a necessary and sufficient condition for the well-posedness of the linear non-homogeneous Grad moment equations in half-space. The Grad moment system is based on Hermite…
A well-balanced moving mesh discontinuous Galerkin method for the Ripa model on triangular meshes
Weizhang Huang, Ruo Li, Jianxian Qiu +1
A well-balanced moving mesh discontinuous Galerkin (DG) method is proposed for the numerical solution of the Ripa model -- a generalization of the shallow water equations that acco…
Linear Moment Models to Approximate Knudsen Layers
Ruo Li, Yichen Yang
We propose a well-posed Maxwell-type boundary condition for the linear moment system in half-space. As a reduction of the Boltzmann equation, the moment equations are available to…
A general improvement in the WENO-Z-type schemes
Ruo Li, Wei Zhong
A new type of finite volume WENO schemes for hyperbolic problems was devised in [36] by introducing the order-preserving (OP) criterion. In this continuing work, we extend the OP c…
Locally Order-Preserving Mapping for WENO Methods
Ruo Li, Wei Zhong
In our previous studies [17, 18], the commonly reported issue that most of the existing mapped WENO schemes suffer from either losing high resolutions or generating spurious oscill…
An extension of the order-preserving mapping to the WENO-Z-type schemes
Ruo Li, Wei Zhong
In our latest studies, by introducing the novel order-preserving (OP) criterion, we have successfully addressed the widely concerned issue of the previously published mapped weight…