...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Journal of Computational Physics >The local tangential lifting method for moving interface problems on surfaces with applications
【24h】

The local tangential lifting method for moving interface problems on surfaces with applications

机译：局部切向提升方法在应用曲面上移动界面问题

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

In this paper, a new numerical computational frame is presented for solving moving interface problems modeled by parabolic PDEs on static and evolving surfaces. The surface PDEs can have Dirac delta source distributions and discontinuous coefficients. One application is for thermally driven moving interfaces on surfaces such as Stefan problems and dendritic solidification phenomena on solid surfaces. One novelty of the new method is the local tangential lifting method to construct discrete delta functions on surfaces. The idea of the local tangential lifting method is to transform a local surface problem to a local two dimensional one on the tangent planes of surfaces at some selected surface nodes. Moreover, a surface version of the front tracking method is developed to track moving interfaces on surfaces. Strategies have been developed for computing geodesic curvatures of interfaces on surfaces. Various numerical examples are presented to demonstrate the accuracy of the new methods. It is also interesting to see the comparison of the dendritic solidification processes in two dimensional spaces and on surfaces. (C) 2021 Elsevier Inc. All rights reserved.
机译：本文提出了一种新的数值计算框架，用于求解静态和演化表面上抛物线偏微分方程模型的运动界面问题。表面偏微分方程可以具有Dirac delta源分布和不连续系数。一个应用是表面上的热驱动移动界面，如斯特凡问题和固体表面上的树枝状凝固现象。新方法的一个新颖之处是局部切向提升法，用于在曲面上构造离散的delta函数。局部切向提升法的思想是将一个局部曲面问题转化为一个局部二维问题，该问题位于选定曲面节点的曲面切面上。此外，还开发了一种曲面版的前向跟踪方法，用于跟踪曲面上的运动界面。已经制定了计算表面上界面测地曲率的策略。文中给出了各种数值算例，证明了新方法的准确性。在二维空间和表面上比较树枝状凝固过程也很有趣。（c）2021爱思唯尔公司保留所有权利。

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