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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Well-balanced positivity-preserving high-order discontinuous Galerkin methods for Euler equations with gravitation
引力 欧拉方程 高阶间断 Galerkin方法
2023/11/29
We develop high order discontinuous Galerkin (DG) methods with Lax-Friedrich fluxes for Euler equations under gravitational fields. Such problems may yield steady-state solutions and the density and p...
Nodal Points and the Nonlinear Stability of High-Order Methods for Unsteady Flow Problems on Tetrahedral Meshes
Nodal Points Nonlinear Stability High-Order Methods Unsteady Flow Problems Tetrahedral Meshes
2015/7/3
High-order methods have the potential to efficiently generate accurate solutions to fluid dynamics problems of practical interest. However, high-order methods are less robust than lower-or...
Convergence Acceleration of High Order Numerical Simulations using a Hybrid Spectral Di
Numerical Algorithms Computational Fluid Dynamics Spectral Di
2015/7/3
The goal of this paper is to show how numerical simulations of uid ow using high order methods for unstructured meshes can be sped up using a hybrid multigrid method. In our work we accelerate the ste...
Advances in Bringing High-order Methods to Practical Applications in Computational Fluid Dynamics
Advances Bringing High-order Methods Practical Applications Computational Fluid Dynamics
2015/7/3
Following pioneering research by mathematicians such as Lax and Godunov, the early development of computational uid dynamics (CFD) between 1970 and 1995 was particularly pursued in the Aerospace Commu...
Application of High-Order Energy Stable Flux Reconstruction Schemes to the Euler Equations
High-Order Energy Stable Flux Reconstruction Schemes Euler Equations
2015/7/3
The authors recently identified an infinite range of high-order energy stable flux reconstruction (FR) schemes in 1D and on triangular elements in 2D. The new flux reconstructi...
A High-Order Spectral Difference Method for Fluid-Structure Interaction on Dynamic Deforming Meshes
High-Order Spectral Diff erence Method Fluid-Structure Interaction Dynamic Deforming Meshes
2015/7/3
In previous work by the authors, Spectral Difference Method has been formulated in a framework with time-dependent moving deformable meshes. The framework has also been shown to preserve the des...
High-Order Numerical Algorithms for Steady and Unsteady Simulation of Viscous Compressible Flow with Shocks
Steady Unsteady Simulation
2015/6/18
Theoretical developments of flux reconstruction method
Unstructured high-order methods
The Flux Reconstruction approach
Energy Stable Flux Reconstruction schemes
Flux Reconstruction as Filtere...