21 citations · 45 across the 10 of their papers we have counts for
10 papers
Stability analysis of the Eulerian-Lagrangian finite volume methods for nonlinear hyperbolic equations in one space dimension
Yang Yang, Jiajie Chen, Jing-Mei Qiu
In this paper, we construct a novel Eulerian-Lagrangian finite volume (ELFV) method for nonlinear scalar hyperbolic equations in one space dimension. It is well known that the exac…
Bound-preserving discontinuous Galerkin methods with modified Patankar time integrations for chemical reacting flows
Fangyao Zhu, Juntao Huang, Yang Yang
In this paper, we develop bound-preserving discontinuous Galerkin (DG) methods for chemical reactive flows. There are several difficulties in constructing suitable numerical scheme…
Stability analysis and error estimates of local discontinuous Galerkin method for convection-diffusion equations on overlapping mesh with non-periodic boundary conditions
Nattaporn Chuenjarern, Kanognudge Wuttanachamsri, Yang Yang
A new local discontinuous Galerkin (LDG) method for convection-diffusion equations on overlapping meshes with periodic boundary conditions was introduced in \cite{Overlap1}. With t…
A hybrid-mixed finite element method for single-phase Darcy flow in fractured porous media
Guosheng Fu, Yang Yang
We present a hybrid-mixed finite element method for a novel hybrid-dimensional model of single-phase Darcy flow in a fractured porous media. In this model, the fracture is treated…
A polygonal scaled boundary finite element method for solving heat conduction problems
Yang Yang, Zongliang Zhang, Yelin Feng +3
This paper presents a steady-state and transient heat conduction analysis framework using the polygonal scaled boundary finite element method (PSBFEM) with polygon/quadtree meshes.…
The hybrid dimensional representation of permeability tensor: a reinterpretation of the discrete fracture model and its extension on nonconforming meshes
Ziyao Xu, Yang Yang
The discrete fracture model (DFM) has been widely used in the simulation of fluid flow in fractured porous media. Traditional DFM uses the so-called hybrid-dimensional approach to…
The Hybrid-dimensional Darcy's Law: A Reinterpreted Discrete Fracture Model for Fracture and Barrier Networks on Non-conforming Meshes
Ziyao Xu, Zhaoqin Huang, Yang Yang
In this paper, we extend the reinterpreted discrete fracture model for flow simulation of fractured porous media containing flow blocking barriers on non-conforming meshes. The met…
An Eulerian-Lagrangian discontinuous Galerkin method for transport problems and its application to nonlinear dynamics
Xiaofeng Cai, Jing-Mei Qiu, Yang Yang
We propose a new Eulerian-Lagrangian (EL) discontinuous Galerkin (DG) method. The method is designed as a generalization of the semi-Lagrangian (SL) DG method for linear advection…
Bound-preserving discontinuous Galerkin method for compressible miscible displacement in porous media
Hui Guo, Yang Yang
In this paper, we develop bound-preserving discontinuous Galerkin (DG) methods for the coupled system of compressible miscible displacement problems. We consider the problem with t…
Effect of Dust on Lyman-alpha Photon Transfer in Optically Thick Halo
Yang Yang, Ishani Roy, Chi-Wang Shu +1
We investigate the effects of dust on Lyα photons emergent from an optically thick medium by solving the integro-differential equation of the radiative transfer of resonant photons…