33 citations · 54 across the 15 of their papers we have counts for
16 papers
A global well-posedness result for the three-dimensional inviscid quasi-geostrophic equation over a cylindrical domain
Qingshan Chen
The three-dimensional quasi-geostrophic equation is considered over a cylindrical domain with a multiply connected horizontal cross-section. Homogeneous Neumann boundary conditions…
Clustering-based Low Rank Approximation Method
Yujun Zhu, Jie Zhu, Hizba Arshad +2
We propose a clustering-based generalized low rank approximation method, which takes advantage of appealing features from both the generalized low rank approximation of matrices (G…
Conservative numerical schemes with optimal dispersive wave relations -- Part II. Numerical evaluations
Qingshan Chen, Lili Ju, Roger Temam
A new energy and enstrophy conserving scheme is evaluated using a suite of test cases over the global spherical domain or bounded domains. The evaluation is organized around a set…
Conservative numerical schemes with optimal dispersive wave relations -- Part I. Derivations and analyses
Qingshan Chen, Lili Ju, Roger Temam
An energy-conserving and an energy-and-enstrophy conserving numerical schemes are derived, by approximating the Hamiltonian formulation, based on the Poisson brackets and the vorti…
On the well-posedness of the inviscid multi-layer quasi-geostrophic equations
Qingshan Chen
The inviscid multi-layer quasi-geostrophic equations are considered over an arbitrary bounded domain. The no-flux but non-homogeneous boundary conditions are imposed to accommodate…
Conservative finite volume schemes for the quasi-geostrophic equation on coastal-conforming unstructured primal-dual meshes
Qingshan Chen, Lili Ju
In this paper we propose finite volume schemes for solving the inviscid and viscous quasi-geostrophic equations on coastal-conforming unstructured primal-dual meshes. Several appro…