A5049270029- Computational Fluid Dynamics and Aerodynamics
- Advanced Numerical Methods in Computational Mathematics
- Fluid Dynamics and Turbulent Flows
- Gas Dynamics and Kinetic Theory
- Numerical methods for differential equations
- Meteorological Phenomena and Simulations
- Differential Equations and Numerical Methods
- Lattice Boltzmann Simulation Studies
- Plasma and Flow Control in Aerodynamics
- Combustion and Detonation Processes
- Model Reduction and Neural Networks
- Electromagnetic Simulation and Numerical Methods
- Navier-Stokes equation solutions
- Geological and Geochemical Analysis
- Nonlinear Waves and Solitons
- Fluid Dynamics and Vibration Analysis
- Geochemistry and Geologic Mapping
- Numerical methods in inverse problems
- Radiative Heat Transfer Studies
- Electromagnetic Scattering and Analysis
- Combustion and flame dynamics
- Numerical methods in engineering
- Geochemistry and Geochronology of Asian Mineral Deposits
- Tropical and Extratropical Cyclones Research
- Prion Diseases and Protein Misfolding
Xiamen University
2015-2024
The Ohio State University
2023
Shanghai Institute of Technology
2017
Nanjing University
2005-2012
National University of Singapore
2004-2008
Hankou University
2006
University of Science and Technology of China
2002-2003
Tohoku University
2003
The Runge--Kutta discontinuous Galerkin (RKDG) method is a high order finite element for solving hyperbolic conservation laws. It uses ideas from resolution volume schemes, such as the exact or approximate Riemann solvers, total variation diminishing (TVD) time discretizations, and limiters. has advantage of flexibility in handling complicated geometry, h-p adaptivity, efficiency parallel implementation, been used successfully many applications. However, limiters to control spurious...
In [SIAM J. Sci. Comput., 26 (2005), pp. 907--929], we initiated the study of using WENO (weighted essentially nonoscillatory) methodology as limiters for RKDG (Runge--Kutta discontinuous Galerkin) methods. The idea is to first identify "troubled cells," namely, those cells where limiting might be needed, then abandon all moments in except cell averages and reconstruct from information neighboring a methodology. This technique works quite well our one- two-dimensional test problems 907--929]...
In this paper, we design a new type of high order finite volume weighted essentially nonoscillatory (WENO) schemes to solve hyperbolic conservation laws on triangular meshes. The main advantages these are their compactness and robustness that they could maintain good convergence property for some steady state problems. Compared with the classical WENO [C. Hu C.-W. Shu, J. Comput. Phys., 150 (1999), pp. 97--127], optimal linear weights independent topological structure meshes can be any...
Abstract In this paper, we propose a new type of weighted essentially non-oscillatory (WENO) limiter, which belongs to the class Hermite WENO (HWENO) limiters, for Runge-Kutta discontinuous Galerkin (RKDG) methods solving hyperbolic conservation laws. This HWENO limiter is modification simple proposed recently by Zhong and Shu [29]. Both limiters use information DG solutions only from target cell its immediate neighboring cells, thus maintaining original compactness scheme. The goal both...
In this paper we develop a Lax--Wendroff time discretization procedure for high order finite difference weighted essentially nonoscillatory schemes to solve hyperbolic conservation laws. This is an alternative method the popular TVD Runge--Kutta discretizations. We explore possibility in avoiding local characteristic decompositions or even nonlinear weights part of procedure, hence reducing cost but still maintaining properties problems with strong shocks. As result, more effective than...
Abstract In this paper we generalize a new type of compact Hermite weighted essentially non-oscillatory (HWENO) limiter for the Runge-Kutta discontinuous Galerkin (RKDG) method, which was recently developed in [38] structured meshes, to two dimensional unstructured meshes. The main idea HWENO is reconstruct polynomial by usage entire polynomials DG solution from target cell and its neighboring cells least squares fashion [11] while maintaining conservative property, then use classical WENO...