A Cost-Efficient Space-Time Adaptive Algorithm for Coupled Flow and Transport

IF 1 4区数学 Q3 MATHEMATICS, APPLIED

Computational Methods in Applied Mathematics Pub Date : 2022-12-06 DOI:10.48550/arXiv.2212.02954

Marius Paul Bruchhäuser, M. Bause

引用次数: 1

Abstract

Abstract In this work, a cost-efficient space-time adaptive algorithm based on the Dual Weighted Residual (DWR) method is developed and studied for a coupled model problem of flow and convection-dominated transport. Key ingredients are a multirate approach adapted to varying dynamics in time of the subproblems, weighted and non-weighted error indicators for the transport and flow problem, respectively, and the concept of space-time slabs based on tensor product spaces for the data structure. In numerical examples, the performance of the underlying algorithm is studied for benchmark problems and applications of practical interest. Moreover, the interaction of stabilization and goal-oriented adaptivity is investigated for strongly convection-dominated transport.

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一种具有成本效益的流与输运耦合时空自适应算法

摘要本文针对流动和对流主导传输的耦合模型问题，提出并研究了一种基于双加权残差（DWR）方法的高效时空自适应算法。关键因素是一种适用于子问题随时间变化的动力学的多速率方法，分别用于传输和流动问题的加权和非加权误差指标，以及用于数据结构的基于张量积空间的时空板的概念。在数值例子中，研究了底层算法在基准问题和实际应用中的性能。此外，还研究了强对流主导输运的稳定性和面向目标的自适应性的相互作用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Computational Methods in Applied Mathematics MATHEMATICS, APPLIED-

CiteScore

2.40

自引率

7.70%

发文量

期刊介绍： The highly selective international mathematical journal Computational Methods in Applied Mathematics　(CMAM) considers original mathematical contributions to computational methods and numerical analysis with applications mainly related to PDEs. CMAM seeks to be interdisciplinary while retaining the common thread of numerical analysis, it is intended to be readily readable and meant for a wide circle of researchers in applied mathematics. The journal is published by De Gruyter on behalf of the Institute of Mathematics of the National Academy of Science of Belarus.