High Resolution Compact Finite Difference Schemes for Convection Dominated Problems

Abdullah Shah; Saher Akmal Khan; Najib Ullah

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High Resolution Compact Finite Difference Schemes for Convection Dominated Problems

机译：对流占优问题的高分辨率紧致有限差分方案

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摘要

In this short article, the upwind and central compact finite difference schemes for spatial discretization of the first-order derivative are analyzed. Comparison of the schemes is provided and the best discretization scheme for convection dominated problems is suggested.

机译：在这篇简短的文章中，分析了用于一阶导数空间离散化的迎风和中心紧致有限差分方案。提供了方案的比较，并提出了对流主导问题的最佳离散方案。

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来源
《World Journal of Mechanics》 |2019年第12期|共8页
作者
Abdullah Shah; Saher Akmal Khan; Najib Ullah;
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正文语种
中图分类物理学;
关键词
Upwind SchemeUpwind Compact SchemeFlux-Difference SplittingConvection Dominated Problems;

机译：迎风方案迎风紧凑方案磁通差分裂对流主导问题;

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专利

1. Efficient exponential compact higher order difference scheme for convection dominated problems [J] . Nachiketa Mishra, Sanyasiraju V.S.S. Yedida Mathematics and computers in simulation . 2011,第4期

机译：对流占优问题的有效指数紧致高阶差分格式
2. Exponential high-order compact finite difference method for convection-dominated diffusion problems on nonuniform grids [J] . Tian F., Ge Y. B., Tian Z. F. Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology . 2019,第1a6期

机译：用于非均匀网格对流主导扩散问题的指数高阶小型有限差分方法
3. Uniformly convergent finite volume difference scheme for 2D convection-dominated problem with discontinuous coefficients [J] . Brayanov IA Applied mathematics and computation . 2005,第2期

机译：具有不连续系数的二维对流占优问题的一致收敛有限体积差分格式
4. An Implicit Finite Difference Scheme with Preconditioning for Convection Dominated Diffusion Equation [C] . Lunji Song, Yujiang Wu, Yang Wang, The Second International Joint Conference on Computational Science and Optimization(CSO 2009)（2009 国际计算科学与优化会议）论文集 . 2009

机译：对流占优扩散方程的预处理隐式有限差分格式
5. A novel approach to evaluating compact finite differences and similar tridiagonal schemes on GPU-accelerated clusters. [D] . Srinath, Ashwin. 2015

机译：一种在GPU加速群集上评估紧凑有限差分和类似三对角线方案的新颖方法。
6. Coefficient datasets for high-order stable and conservative boundary schemes for central and compact finite differences [O] . P.T. Brady, D. Livescu 2019

机译：中心和紧凑有限差分的高阶稳定和保守边界方案的系数数据集
7. A fourth-order accurate quasi-variable mesh compact finite-difference scheme for two-space dimensional convection-diffusion problems [O] . 2017

机译：二维对流扩散问题的四阶准准变网格紧致差分格式

High Resolution Compact Finite Difference Schemes for Convection Dominated Problems

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