耦合时相关Navier—Stokes和Darcy问题的一种强保守杂交不连续Galerkin方法

Pub Date : 2023-10-23 DOI:10.1051/m2an/2023086

Aycil Cesmelioglu, Jeonghun Lee, Sander Rhebergen

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引用次数: 0

摘要

针对耦合时相关的Navier-Stokes和Darcy问题，提出了一种强保守性和压力鲁棒性的杂化不连续Galerkin方法。我们证明了解的存在唯一性，并给出了用后向欧拉时间步进求解完全离散问题的最优先验误差分析。数值算例验证了理论结果。

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A strongly conservative hybridizable discontinuous Galerkin method for the coupled time-dependent Navier--Stokes and Darcy problem

We present a strongly conservative and pressure-robust hybridizable discontinuous Galerkin method for the coupled time-dependent Navier–Stokes and Darcy problem. We show existence and uniqueness of a solution and present an optimal a priori error analysis for the fully discrete problem when using Backward Euler time stepping. The theoretical results are verified by numerical examples.

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