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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：Diffusion limit of the compressible Euler-P1 approximation model arising from radiation hydrodynamics
辐射流体动力学 可压缩欧拉 近似模型 扩散极限
2023/5/8
We first show the nonequilibrium-diffusion limit of the compressible Euler-P1 approximation model arising in radiation hydrodynamics as the Mach number tends to zero when the initial data is well-prep...
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 ...
针对无缝内衣机织针编织过程固有频率理论模型少、编织过程织针振动特性难捕获等问题,采用Euler-Bernoulli梁理论对织针沿针筒切向方向的振动方程进行求解,获取织针横向弯曲的振型曲线及固有频率,同时采用ANSYS仿真软件对第2退圈三角上6个出针位置进行模态分析。对比理论数值结果发现二者振型一致,固有频率相对误差不超过2.3%。采用德国PCO公司DIMAX系列高速相机,获取织针沿三角弧面做受迫运...
A Model for Topological Relationships Based on Euler number
Euler-number Topological Relationships Whole
2015/8/17
Topological Relationships between spatial objects is a very important topic for spatial data organization, reasoning, query, analysis
and updating in Geographic Information Systems (GIS). The most po...
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,...
In Pursuit of Grid Convergence for Two-Dimensional Euler Solutions
Grid Convergence Two-Dimensional Euler Solutions
2015/7/3
Grid-convergence trends of two-dimensional Euler solutions are investigated. The airfoil geometry under study is based on the NACA0012 equation. However, unlike the NACA0012 airfoil, which has a blunt...
Efficient Algorithms for High-Order Discretizations of the Euler and Navier-Stokes Equations
Efficient Algorithms High-Order Discretizations Euler Navier-Stokes Equations
2015/7/2
Higher order discretizations have not been widely successful in industrial applications to compressible ow simulation. Among several reasons for this, one may identify the lack of tailor-suited, best-...
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...
A Spectral Difference Method for the Euler and Navier-Stokes Equations on Unstructured Meshes
Spectral Diff erence Method Euler Navier-Stokes Equations Unstructured Meshes
2015/7/2
This work focuses on the extension of the recently introduced Spectral Difference Method to viscous flow. The spectral difference method is a conservative pseudo-spectral scheme base...
StreamFLO:an Euler solver for streaming architectures
StreamFLO Euler solver streaming architectures
2015/7/2
The Computer Systems Laboratory at Stanford University in collaboration with the Center for Integrated Turbulence Simulation is developing “Merrimac”, a new high performance computer system, based on ...
Fast preconditioned multigrid solution of the Euler and Navier–Stokes equations for steady, compressible
Euler equations implicit methods lower–upper schemes multigrid methods
2015/7/2
New versions of implicit algorithms are developed for the ecient solution of the Euler and Navier Stokes equations of compressible ow. The methods are based on a preconditioned, lower-upper (LU) impl...
Application of a Non-Linear Frequency Domain Solver to the Euler and Navier-Stokes Equations
Application Non-Linear Frequency Domain Solver Euler Navier-Stokes Equations
2015/7/2
This paper presents a technique used to accelerate the convergence of unsteady flows to a periodic steady state. The basis of this procedure is to assume the time period of the solution’s oscill...