Finite volume WENO methods for hyperbolic conservation laws on Cartesian grids with adaptive mesh refinement

Buchmueller Pawel; Dreher Juergen; Helzel Christiane

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Finite volume WENO methods for hyperbolic conservation laws on Cartesian grids with adaptive mesh refinement

机译：自适应网格细化的笛卡尔网格双曲守恒律的有限体积WENO方法

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摘要

We present a WENO finite volume method for the approximation of hyperbolic conservation laws on adaptively refined Cartesian grids.

机译：我们提出了一种WENO有限体积方法，用于自适应精制笛卡尔网格上的双曲守恒律近似。

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《Applied mathematics and computation》 |2016年第2期|共19页
作者
Buchmueller Pawel; Dreher Juergen; Helzel Christiane;
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正文语种 eng
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关键词
Weighted essentially non-oscillatory (WENO) schemes; Finite volume methods; Adaptive mesh refinement (AMR); High-order methods; Hyperbolic conservation laws;

机译：加权基本非振荡（WENO）方案;有限体积法;自适应网格细化（AMR）;高阶方法;双曲守恒律;

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专利

1. Finite volume WENO methods for hyperbolic conservation laws on Cartesian grids with adaptive mesh refinement [J] . Buchmueller Pawel, Dreher Juergen, Helzel Christiane Applied mathematics and computation . 2016,第Pta2期

机译：自适应网格细化的笛卡尔网格双曲守恒律的有限体积WENO方法
2. Conservative and Easily Implemented Finite Volume Semi-Lagrangian WENO Methods for 1D and 2D Hyperbolic Conservation Laws [J] . Fuxing Hu Journal of Applied Mathematics and Physics . 2017,第1期

机译：一维和二维双曲守恒律的保守且易于实现的有限体积半拉格朗日WENO方法
3. Multi-dimensional finite-volume scheme for hyperbolic conservation laws on three-dimensional solution-adaptive cubed-sphere grids [J] . Ivan L., De Sterck H., Northrup S.A., Journal of Computational Physics . 2013,第Null期

机译：三维解自适应立方球面网格上双曲守恒律的多维有限体积方案
4. A Compact High Order Finite Volume Method for Hyperbolic Conservation Laws on Unstructured Grids [C] . Qian Wang, Yu-Xin Ren, Wanai Li AIAA computational fluid dynamics conference;AIAA aviation forum . 2015

机译：非结构网格上双曲守恒律的紧凑型高阶有限体积方法
5. Adaptive Radial Basis Function ENO and WENO Methods for Hyperbolic Conservation Laws [D] . Guo, Jingyang. 2017

机译：双曲守恒律的自适应径向基函数ENO和WENO方法
6. Discontinuous Galerkin methods for nonlinear scalar hyperbolic conservation laws: divided difference estimates and accuracy enhancement [O] . Xiong Meng, Jennifer K. Ryan -1

机译：非线性标量双曲守恒定律的不连续Galerkin方法：差分估计和精度提高
7. ADER-WENO Finite volume schemes with adaptive mesh refinement for hyperbolic problems [O] . Hidalgo López Arturo 2015

机译：ADER-WENO具有双曲问题的自适应网格细化的有限体积方案

Finite volume WENO methods for hyperbolic conservation laws on Cartesian grids with adaptive mesh refinement

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