• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>International journal of numerical methods for heat & fluid flow >Some new computational methods for the Allen-Cahn equation with non-periodic boundary conditions arising in computational fluid dynamics
【24h】

Some new computational methods for the Allen-Cahn equation with non-periodic boundary conditions arising in computational fluid dynamics

机译：计算流体动力学中非周期边界条件的Allen-Cahn方程的一些新计算方法

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

Purpose - The purpose of this paper is to present some numerical methods based on different time stepping and space discretization methods for the Allen-Cahn equation with non-periodic boundary conditions. Design/methodology/approach - In space the equation is discretized by the Chebyshev spectral method, while in time the exponential time differencing fourth-order Runge-Kutta (ETDRK4) and implicit-explicit scheme are used. Also, for comparison the finite difference scheme in both space and time is used. Findings - It is found that the use of implicit-explicit scheme allows use of a large time-step, since an explicit method has less order of accuracy as compared to implicit-explicit method. In time-stepping the proposed ETDRK4 does not behave well for this special kind of partial differential equation. Originality/value - The paper presents some numerical methods based on different time stepping and space discretization methods for the Allen-Cahn equation with non-periodic boundary conditions.
机译：目的-本文的目的是为非周期性边界条件的Allen-Cahn方程提供一些基于不同时间步长和空间离散化方法的数值方法。设计/方法/方法-在空间中，方程式采用Chebyshev谱方法离散化，而在时间上则使用四阶Runge-Kutta（ETDRK4）和隐式显式方案的指数时间差。同样，为了进行比较，使用了时空有限差分方案。结果-发现隐式-显式方案的使用允许使用较大的时间步，因为与隐式-显式方法相比，显式方法的准确性较低。在时间步长上，拟议的ETDRK4对于这种特殊的偏微分方程而言表现不佳。原创性/价值-本文针对具有非周期性边界条件的Allen-Cahn方程，提出了一些基于不同时间步长和空间离散化方法的数值方法。

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