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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：A constructive proof of finite time blowup of 3D incompressible Euler equations with smooth data
光滑数据 三维不可压缩 欧拉方程 有限时间爆破 构造性证明
2023/5/10
Whether the 3D incompressible Euler equations can develop a finite time singularity from smooth initial data is one of the most challenging problems in nonlinear PDEs. In this talk, we will present a ...
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 Conservative Meshless Scheme: General Order Formulation and Application to Euler Equations
Conservative Meshless Scheme General Order Formulation Application Euler Equations
2015/7/3
In this paper, we present a mesh-free, finite-volume-like scheme designed for numerically solving conservation laws. We first derive a conservative formulation for computing mesh-free @...
A hybrid multilevel method for high-order discretization of the Euler equations on unstructured meshes
Multigrid methods Newton–Krylov methods Euler equations
2015/7/3
Higher order discretization has not been widely successful in industrial applications to compressible flow simulation. Among several reasons for this, one may identify the lack of tailor-suited,...
Spectral Difference Method for Unstructured Grids II: Extension to the Euler Equations
High-order conservation laws unstructured grids spectral difference spectral collocation method Euler equations.
2015/7/2
An efficient, high-order, conservative method named the spectral difference method has been developed recently for conservation laws on unstructured grids. It combines the best features of struc...
How Many Steps are Required to Solve the Euler Equations of Steady,Compressible Flow:In Search of a Fast Solution Algorithm
Euler Equations Compressible Flow:Search Fast Solution Algorithm
2015/7/2
New versions of implicit algorithms are proposed for the efficient solution of the Euler equations of com pressible flow. The methods are based on a pre conditioned, Lower-Upper (LU) implem...
Gas-Kinetic Relaxation (BGK-Type) Schemes for the Compressible Euler Equations
Gas-Kinetic Relaxation (BGK-Type) Schemes Compressible Euler Equations
2015/7/1
Starting from the gas-kinetic model, a new class of relaxation schemes for the Euler equations are presented. Instead of linerizing the Euler equa-tions into a few simple waves, the new flow solvers a...
Numerical Calculation of the Flow Inside Pump Impellers Using 3D Euler Equations
Centrifugal Pump 3D Euler Equations Finite-Volume Technique Impeller Performance
2009/10/14
The flow pattern inside an impeller should be determined for maximum eciency and performance. The e ects of the design parameters on the pump performance can be determined using numerical calculation...