A stabilized Powell-Sabin finite-element method for the 2D Euler equations in supersonic regime

Giorgiani Giorgio; Guillard Herve; Nkonga Boniface; Serre Eric

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A stabilized Powell-Sabin finite-element method for the 2D Euler equations in supersonic regime

机译：超音速状态下二维Euler方程的稳定Powell-Sabin有限元方法

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摘要

In this paper a Powell-Sabin finite-element (PS-REM) scheme is presented for the solution of the 2D Euler equations in supersonic regime. The spatial discretization is based on PS splines, that are piecewise quadratic polynomials with a global C-1 continuity, defined on conforming triangulations.

机译：本文针对超音速状态下的二维Euler方程，提出了Powell-Sabin有限元（PS-REM）格式。空间离散化基于PS样条曲线，这些样条曲线是具有全局C-1连续性的分段二次多项式，定义在符合三角测量的条件下。

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来源
《Computer Methods in Applied Mechanics and Engineering》 |2018年第1期|216-235|共20页
作者
Giorgiani Giorgio; Guillard Herve; Nkonga Boniface; Serre Eric;
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作者单位

Aix Marseille Univ, CNRS, Cent Marseille, M2P2, Marseille, France;

INRIA Sophia Antipolis, 2004 Route Lucioles, F-06902 Valbonne, France;

INRIA Sophia Antipolis, 2004 Route Lucioles, F-06902 Valbonne, France;

Aix Marseille Univ, CNRS, Cent Marseille, M2P2, Marseille, France;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Shock capturing; High-order; C-1 approximations; Splines; CFD; Compressible flow;

机译：冲击捕捉;高阶;C-1近似;样条曲线;CFD;可压缩流;

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机译：2D / 3D平稳Navier-Stokes方程的可见两级稳定混合有限元方法
2. Stabilization of the incompressible 2D Euler equations in a simply connected domain utilizing the Lorentz force [J] . Phung KD Journal of Mathematical Analysis and Applications . 2004,第2期

机译：利用Lorentz力在简单连接域中稳定不可压缩2D Euler方程
3. Adjoint-based h-p adaptive discontinuous Galerkin methods for the 2D compressible Euler equations [J] . Wang L., Mavriplis D.J. Journal of Computational Physics . 2009,第20期

机译：二维可压缩Euler方程的基于伴随的h-p自适应不连续Galerkin方法
4. Evaluation of Discontinuous Galerkin and Spectral Volume Methods for 2D Euler Equations on Unstructured Grids [C] . Y. Sun, Z. Wang AIAA Computational Fluid Dynamics Conference . 2003

机译：非结构网格上二维Euler方程的不连续Galerkin和光谱体积方法的评估
5. Euler equations and steady supersonic flows. [D] . Zhu, Dianwen. 2005

机译：欧拉方程和稳定的超音速流。
6. Convergence and stability of the exponential Euler method for semi-linear stochastic delay differential equations [O] . Ling Zhang -1

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7. A stabilized Powell-Sabin finite-element method for the 2D Euler equations in supersonic regime [O] . Giorgiani, Giorgio, Guillard, Hervé, Nkonga, Boniface, 2017

机译：超音速状态下二维Euler方程的稳定Powell-Sabin有限元方法
8. Modeling, Analysis and Simulation: Adaptive-gridding Solution Method for the 2D Unsteady Euler Equations [R] . Wackers, J. 2003

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A stabilized Powell-Sabin finite-element method for the 2D Euler equations in supersonic regime

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