...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Applied mathematics and computation >A high-order compact finite difference scheme and precise integration method based on modified Hopf-Cole transformation for numerical simulation of n-dimensional Burgers' system
【24h】

A high-order compact finite difference scheme and precise integration method based on modified Hopf-Cole transformation for numerical simulation of n-dimensional Burgers' system

机译：基于改进的Hopf-COLE转换的高阶紧凑的有限差分方案和精确集成方法，用于N立维汉堡系统数值模拟

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

This paper modifies a n-dimensional Hopf-Cole transformation to the n-dimensional Burgers' system. We obtain the n-dimensional heat conduction equation through the modification of the Hopf-Cole transformation. Then the fourth-order precise integration method (PIM) in combination with a spatially global sixth-order compact finite difference (CFD) scheme is presented to solve the equation with high accuracy. Moreover, coupling with the Strang splitting method, the scheme is extended to multi-dimensional (two, three-dimensional) Burgers' system. Numerical results show that the proposed method appreciably improves the computational accuracy compared with the existing numerical method. Moreover, the two-dimensional and three-dimensional examples demonstrate excellent adaptability, and the numerical simulation results also have very high accuracy in medium Reynolds numbers. (C) 2019 Elsevier Inc. All rights reserved.
机译：本文将N维HOPF-COLE转换改变为N维汉堡系统。 我们通过跳跃-CORE转化的改变获得N维导热方程。 然后，提出了第四阶精确集成方法（PIM）与空间全球第六阶的有限有限差（CFD）方案进行了组合，以求解高精度的等式。 此外，与突出分裂方法耦合，该方案延伸到多维（二维）汉堡系统。 数值结果表明，与现有数值方法相比，该方法明显提高了计算准确性。 此外，二维和三维示例展示了优异的适应性，数值模拟结果在媒体雷诺数中具有非常高的精度。 （c）2019 Elsevier Inc.保留所有权利。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号