HIGH-ORDER DIMENSIONALITY SPLIT LAGRANGE-REMAP SCHEMES FOR IDEAL MAGNETOHYDRODYNAMICS

Marc Wolff; Stephane Jaouen; Herve Jourdren; Eric Sonnendrucker

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HIGH-ORDER DIMENSIONALITY SPLIT LAGRANGE-REMAP SCHEMES FOR IDEAL MAGNETOHYDRODYNAMICS

机译：理想磁氢动力学的高次维分裂拉格朗日映射方案

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We first propose a new class of high-order finite volume schemes for solving the 1-D ideal magnetohydrodynamics equations that is particularly well-suited for modern computer architectures. Applicable to arbitrary equations of state, these schemes, based on a Lagrange-remap approach, are high-order accurate in both space and time in the non-linear regime. A multidimensional extension on 2-D Cartesian grids using a high-order dimensional splitting technique is then proposed. Numerical results up to fourth-order on smooth and non-smooth test problems are also provided.

机译：我们首先提出一类新的高阶有限体积方案，用于求解一维理想磁流体动力学方程，该方程特别适合现代计算机体系结构。这些方案适用于任意状态方程，基于Lagrange重映射方法，在非线性状态下在空间和时间上均具有高阶精度。然后提出了使用高阶维分裂技术在二维笛卡尔网格上进行多维扩展的方法。还提供了有关平滑和非平滑测试问题的四阶数值结果。

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来源
《Discrete and continuous dynamical systems》 |2012年第2期|p.345-367|共23页
作者
Marc Wolff; Stephane Jaouen; Herve Jourdren; Eric Sonnendrucker;
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作者单位

CEA, DAM, DIF, F-91297 Arpajon, France;

CEA, DAM, DIF, F-91297 Arpajon, France;

CEA, DAM, DIF, F-91297 Arpajon, France;

IRMA, 7 rue Rene Descartes, F-67084 Strasbourg, France;

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正文语种 eng
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High-order schemes; ideal magnetohydrodynamics; dimensional splitting;

机译：高阶方案理想的磁流体动力学尺寸分裂;

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专利

1. High-order dimensionally split Lagrange-remap schemes for compressible hydrodynamics [J] . Duboc F, Enaux C, Jaouen S, Comptes rendus. Mathematique . 2010,第1a2期

机译：可压缩流体动力学的高阶维分解Lagrange重映射方案
2. Nonoscillatory central schemes for one- and two-dimensional magnetohydrodynamics equations. II: High-order semidiscrete schemes [J] . Balbas J, Tadmor E SIAM Journal on Scientific Computing . 2006,第2期

机译：一维和二维磁流体动力学方程的非振动中心方案。 II：高阶半离散方案
3. A high-order unstaggered constrained-transport method for the three-dimensional ideal magnetohydrodynamic equations based on the method of lines [J] . Helzel C., Rossmanith J.A., Taetz B. SIAM Journal on Scientific Computing . 2013,第2期

机译：基于线法的三维理想磁流体动力学方程的高阶无交错约束传输方法
4. A Parallel High-Order CENO Finite-Volume Scheme with AMR for Three-Dimensional Ideal MHD Flows [C] . Lucie Freret, Clinton P.T. Groth, Hans De Sterck International conference on spectral and high order methods . 2017

机译：具有三维理想MHD流的AMR并行高阶CENO有限体积方案
5. Development of kinetic schemes for the numerical solutions of the two-dimensional Euler and the ideal magnetohydrodynamics equations. [D] . Reksoprodjo, Heru Suprapto Raharjaya. 2003

机译：二维欧拉和理想磁流体动力学方程数值解动力学方案的发展。
6. On the behavior of hyperbolic neutral points in two-dimensional ideal magnetohydrodynamics [O] . Diego Cordoba, Christiane Marliani 1999

机译：关于二维理想磁流体动力学中的双曲中性点的行为
7. A high-order finite difference WENO scheme for ideal magnetohydrodynamics on curvilinear meshes [O] . Christlieb, Andrew J., Feng, Xiao, Jiang, Yan, 2017

机译：一种理想的高阶有限差分WENO格式曲线网格上的磁流体动力学
8. Non-Oscillatory Central Schemes for One- and Two-Dimensional MHD Equations. II: High-Order Semi-Discrete Schemes. [R] . Balbas, J., Tadmor, E. 2004

机译：一维和二维mHD方程的非振荡中心格式。 II：高阶半离散格式。

HIGH-ORDER DIMENSIONALITY SPLIT LAGRANGE-REMAP SCHEMES FOR IDEAL MAGNETOHYDRODYNAMICS

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