A hybrid semi-Lagrangian cut cell method for advection-diffusion problems with Robin boundary conditions in moving domains
A hybrid semi-Lagrangian cut cell method for advection-diffusion problems with Robin boundary conditions in moving domains
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DOI：
10.1016/j.jcp.2021.110805
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发表时间：
2021-11-12
影响因子：
4.1
通讯作者：
Griffith, Boyce E.
中科院分区：
文献类型：
--
作者：
Barrett, Aaron;Fogelson, Aaron L.;Griffith, Boyce E.
我们提出了一种新的离散化方法，对流扩散问题的罗宾边界条件的复杂，时间相关的区域。该方法基于Bochkov等人提出的二阶割元有限体积法。[8]离散拉普拉斯算子和Robin边界条件。为了克服小小区的问题，我们使用分裂计划沿着与半拉格朗日方法来处理平流。我们证明了二阶精度的L-1，L-2，和L-无穷规范的分析测试问题和数值收敛性研究。我们还证明了该计划的能力，以转换一种化学物种到另一个跨越移动边界。(C)2021爱思唯尔公司All rights reserved.
We present a new discretization approach to advection-diffusion problems with Robin boundary conditions on complex, time-dependent domains. The method is based on second order cut cell finite volume methods introduced by Bochkov et al.[8] to discretize the Laplace operator and Robin boundary condition. To overcome the small cell problem, we use a splitting scheme along with a semi-Lagrangian method to treat advection. We demonstrate second order accuracy in the L-1, L-2, and L-infinity norms for both analytic test problems and numerical convergence studies. We also demonstrate the ability of the scheme to convert one chemical species to another across a moving boundary. (C) 2021 Elsevier Inc. All rights reserved.