• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Mathematical Problems in Engineering >A Self-Adaptive Numerical Method to Solve Convection-Dominated Diffusion Problems
【24h】

A Self-Adaptive Numerical Method to Solve Convection-Dominated Diffusion Problems

机译：对流占优扩散问题的自适应数值方法

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

Convection-dominated diffusion problems usually develop multiscaled solutions and adaptive mesh is popular to approach high resolution numerical solutions. Most adaptive mesh methods involve complex adaptive operations that not only increase algorithmic complexity but also may introduce numerical dissipation. Hence, it is motivated in this paper to develop an adaptive mesh method which is free from complex adaptive operations. The method is developed based on a range-discrete mesh, which is uniformly distributed in the value domain and has a desirable property of self-adaptivity in the spatial domain. To solve the time-dependent problem, movement of mesh points is tracked according to the governing equation, while their values are fixed. Adaptivity of the mesh points is automatically achieved during the course of solving the discretized equation. Moreover, a singular point resulting from a nonlinear diffusive term can be maintained by treating it as a special boundary condition. Serval numerical tests are performed. Residual errors are found to be independent of the magnitude of diffusive term. The proposed method can serve as a fast and accuracy tool for assessment of propagation of steep fronts in various flow problems.
机译：对流占优的扩散问题通常会发展成多尺度解，而自适应网格则普遍用于解决高分辨率数值解。大多数自适应网格方法涉及复杂的自适应运算，这不仅会增加算法复杂度，而且可能会引入数值耗散。因此，本文的动机是开发一种无需复杂自适应操作的自适应网格方法。该方法是基于离散范围的网格开发的，该网格在值域中均匀分布并且在空间域中具有理想的自适应性。为了解决与时间有关的问题，根据控制方程跟踪网格点的运动，同时固定其值。在求解离散方程的过程中会自动实现网格点的适应性。此外，通过将非线性扩散项视为特殊边界条件，可以保持其奇异点。进行val数值测试。发现残留误差与扩散项的大小无关。所提出的方法可以作为一种快速而准确的工具，用于评估各种流动问题中陡峭锋面的传播。

著录项

  • 来源
    《Mathematical Problems in Engineering》 |2017年第7期|8379609.1-8379609.13|共13页
  • 作者

    Cao Zhi-Wei; Liu Zhi-Fan; Liu Zhi-Feng; Wang Xiao-Hong;

  • 作者单位

    Univ Sci & Technol China, Dept Thermal Sci & Energy Engn, Hefei 230026, Anhui, Peoples R China;

    Univ Sci & Technol China, Dept Thermal Sci & Energy Engn, Hefei 230026, Anhui, Peoples R China;

    Univ Sci & Technol China, Dept Thermal Sci & Energy Engn, Hefei 230026, Anhui, Peoples R China;

    Univ Sci & Technol China, Dept Thermal Sci & Energy Engn, Hefei 230026, Anhui, Peoples R China;

  • 收录信息
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

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