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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
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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
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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
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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
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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 Spectral Difference Method for the Euler and Navier-Stokes Equations on Unstructured Meshes
Spectral Diff erence Method Euler Navier-Stokes Equations Unstructured Meshes
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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...
基于Euler方程的返回舱气动外形优化设计方法研究
返回舱 优化设计 Euler方程 遗传算法
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2013/9/2
基于优化软件平台，选用合适的优化算法，完成优化设计。应用快速气动分析软件，通过求解Euler方程得到高超声速气动力特性，求解FayRiddell公式计算表面热流，通过算例对比验证了该方法的精度和效率。在CTV返回舱基础上验证并初步形成了快速有效的气动布局优化设计的方法，应用该方法完成了类神舟飞船返回舱外形的初步优化设计，为进一步的优化设计研究工作打下基础。
Singular Casimir Elements of the Euler Equation and Equilibrium Points
Singular Casimir Elements the Euler Equation Equilibrium Points
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2011/8/18
Abstract: The problem of the nonequivalence of the sets of equilibrium points and energy-Casimir extremal points, which occurs in the noncanonical Hamiltonian formulation of equations describing ideal...
跨音叶栅流场中Euler方程的对角化隐式算法
隐式 通量分裂 对角化
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2007/7/28
摘要本文在非因式分解隐式通量分裂有限面积法的基础81提出了一种单向隐式对角化算法,并给出了相应的固壁边界条件的一种精确的隐式处理方法.数值结果表明,这种方法是高效率的。