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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...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Calculation of high-order harmonic generation of atoms and molecules by combining time series prediction and neural networks
时间序列预测 神经网络计算 原子分子 高阶谐波生成
2023/5/9
High-order harmonic generation (HHG) from the interaction of ultra-intense laser pulses with atoms is an important tabletop short-wave coherent light source. Accurate quantum simulations of it present...
Simulation of the Compressible Taylor Green Vortex using High-Order Flux Reconstruction Schemes
Compressible Taylor Green Vortex High-Order Flux Reconstruction Schemes
2015/7/6
In this paper, we investigate the ability of high-order Flux Reconstruction (FR) numerical schemes to perform accurate and stable computations of compressible turbulent ows on coarse meshes. Two new F...
Verification and Validation of HiFiLES: a High-Order LES unstructured solver on multi-GPU platforms
Verifi cation Validation HiFiLES High-Order LES unstructured solver multi-GPU platforms
2015/7/6
The goal of this paper is to present a verification and validation study of HiFiLES: a high-order LES solver developed in the Aerospace Computing Laboratory (ACL) at Stanford University. HiFiLES...
Shock detection and capturing methods for high order Discontinuous-Galerkin Finite Element Methods
Shock detection capturing methods high order Discontinuous-Galerkin Finite Element Methods
2015/7/6
High-order Discontinuous Galerkin (DG) methods have shown a lot of promise in being able to provide high accuracy and eciency as well as the exibility to handle complex unstructured grids. However in...
High-Order Flux Reconstruction Schemes with Minimal Dispersion and Dissipation
High-order · Flux reconstruction Discontinuous Galerkin dispersion Dissipation Wave propagation Mathematics Subject Classifi cati
2015/7/3
Modal analysis of the flux reconstruction (FR) formulation is performed to obtain the semi-discrete and fully-discrete dispersion relations, using which, the wave properties of physical as well ...
A note on the numerical dissipation from high-order discontinuous finite element schemes
Energy stable fl ux reconstruction schemes Spectral difference schemes
2015/7/3
This paper analyzes in detail the numerical dissipation term embedded in high-order discontinuous finite element type discretizations with particular emphasis on numerical schemes that can be fo...
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...
Discrete filter operators for large-eddy simulation using high-order spectral difference methods
high-order methods LES turbulence models discrete fi lters spectral difference channel fl ow
2015/7/3
The combination of a high-order unstructured spectral difference (SD) spatial discretization scheme with sub-grid scale (SGS) modeling for large-eddy simulation is investigated with particular focus o...
LES modeling with high-order flux reconstruction and spectral difference schemes
High-Order Methods Large-Eddy Simulation Sub-Grid Scale Modeling.
2015/7/3
The combination of the high-order unstructured flux reconstruction and spectral difference spatial discretization schemes with sub-grid scale modeling for large-eddy simulation is investigated w...
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...
Toward structural LES modeling with high-order spectral difference schemes
Toward structural LES modeling high-order spectral erence schemes
2015/7/3
The combination of the high-order unstructured spectral difference spatial discretiza tion scheme with sub-grid scale modeling for large-eddy simulation was investigated with particular focus on...
Structural LES modeling with high-order spectral difference schemes
Structural LES modeling high-order spectral diff erence schemes
2015/7/3
Notwithstanding the considerable effort which has been devoted to the development of accurate and relatively reliable sub-grid scale (SGS) models for LES, in most cases, the underlying numerical...
Structural Wall-modeled LES Using a High-order Spectral Difference Scheme for Unstructured Meshes
High-order schemes Unstructured meshes Large-Eddy simulation Similarity mixed models Wall-modeling
2015/7/3
The combination of the high-order unstructured Spectral Difference (SD) spatial discretization scheme with Sub-Grid Scale (SGS) modeling for Wall-Modeled Large-Eddy Simulation (WMLES) is investigated.
Connections between the filtered discontinuous Galerkin method and the flux reconstruction approach to high order discretizations
High order methods Discontinuous Galerkin Energy stability
2015/7/3
The purpose of this paper is to provide new insights on the connections that exist between the discontinuous Galerkin method (DG), the flux reconstruction method (FR) and the recently identi@...