论文标题
耦合流量和运输的成本效益时空自适应算法
A Cost-Efficient Space-Time Adaptive Algorithm for Coupled Flow and Transport
论文作者
论文摘要
在这项工作中，开发并研究了基于双重加权残差（DWR）方法的成本效益时空自适应算法，以解决流动和对流为主的传输的耦合模型问题。关键成分是一种多胎方法，该方法适用于子问题的不同动态，分别针对传输和流量问题的加权和非加权误差指标以及基于数据结构的张量产品空间的时空板的概念。在数值示例中，研究了基础算法的性能，以解决基准问题和实际兴趣的应用。此外，研究了以对流为主的运输，研究了稳定和面向目标的适应性的相互作用。
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.
