一种经济高效的流输耦合时空自适应算法

IF 1 4区数学 Q3 MATHEMATICS, APPLIED

Computational Methods in Applied Mathematics Pub Date : 2023-05-03 DOI:10.1515/cmam-2022-0245

Marius Paul Bruchhäuser, Markus Bause

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引用次数: 1

摘要

摘要针对流动和对流主导输运的耦合模型问题，提出并研究了一种基于双加权残差(DWR)方法的高性价比时空自适应算法。关键成分是适应子问题随时间变化动态的多速率方法，分别用于运输和流动问题的加权和非加权误差指标，以及基于张量积空间的数据结构的时空板概念。在数值算例中，研究了基准问题和实际应用中底层算法的性能。此外，研究了强对流主导运输的稳定性和目标导向自适应的相互作用。

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

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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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.