论文标题
对于不可压缩的非等热流体流量的模块化研究稳定
Modular grad-div stabilization for the incompressible non-isothermal fluid flows
论文作者
论文摘要
本文考虑了一种模块化的GRAD-DIV稳定方法，用于近似非等温流的时间依赖性Boussinesq模型的解决方案。所提出的方法将最小的侵入性步骤添加到现有的BousSinesQ代码中，关键的想法是，对发散错误的惩罚仅在额外的步骤中（即，未在原始方程式中添加任何内容）。本文通过证明所考虑方法的无条件稳定性和最佳收敛性，提供了完整的数学分析。数值实验证实了理论发现，并表明该算法具有与通常的Grad-Div稳定化相似的正效应。
This paper considers a modular grad-div stabilization method for approximating solutions of the time-dependent Boussinesq model of non-isothermal flows. The proposed method adds a minimally intrusive step to an existing Boussinesq code, with the key idea being that the penalization of the divergence errors, is only in the extra step (i.e. nothing is added to the original equations). The paper provides a full mathematical analysis by proving unconditional stability and optimal convergence of the methods considered. Numerical experiments confirm theoretical findings, and show that the algorithms have a similar positive effect as the usual grad-div stabilization.
