A new domain‐based implicit‐explicit time stepping scheme based on the class of exponential integrators called sEPIRK
A new domain‐based implicit‐explicit time stepping scheme based on the class of exponential integrators called sEPIRK
复制标题
一种新的基于域的隐式显式时间步进方案，基于称为 sEPIRK 的指数积分器类
DOI：
10.1002/pamm.201900142
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发表时间：
2019
期刊：
影响因子：
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通讯作者：
Andreas Meister
中科院分区：
文献类型：
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作者：
Veronika Straub;Sigrun Ortleb;Philipp Birken;Andreas Meister
在真实的应用中，可靠的流动模拟涉及到以准确有效的方式离散空间和时间的任务。为了科普在适当的网格上进行空间离散而产生的大型半离散系统，通常在边界层分辨率上包括相对较少的固体壁附近的非常小的单元，隐式-显式时间步进格式可能是最有效的变体。我们提出了这样一种类型的计划，利用最近的指数积分器称为sEPIRK，并显示其计算优势，反对IMEX-Runge-Kutta计划。
Reliable simulations of flows in real applications involve the task of discretizing both space and time in an accurate and efficient way. To cope with the large semidiscrete systems resulting from a space discretization on appropriate grids, which often include comparatively few very small cells near solid walls for boundary layer resolution, an implicit‐explicit time stepping scheme can be the most efficient variant. We present such a type of scheme utilizing recent exponential integrators called sEPIRK and show its computational advantages opposed to IMEX‐Runge‐Kutta schemes.