Optimization-Based Modeling with Applications to Transport: Part 3. Computational Studies

机译：基于优化的建模及其在运输中的应用：第3部分。计算研究

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This paper is the final of three related articles that develop and demonstrate a new optimization-based framework for computational modeling. The framework uses optimization and control ideas to assemble and decompose multiphysics operators and to preserve their fundamental physical properties in the discretization process. One application of the framework is in the formulation of robust algorithms for optimization-based transport (OBT). Based on the theoretical foundations established in Part 1 and the optimization algorithm for the solution of the remap subproblem, derived in Part 2, this paper focuses on the application of OBT to a set of benchmark transport problems. Numerical comparisons with two other transport schemes based on incremental remapping, featuring flux-corrected remap and the linear reconstruction with van Leer limiting, respectively, demonstrate that OBT is a competitive transport algorithm.

机译：本文是三篇相关文章的最后一篇，这些文章开发并演示了一个基于优化的新的计算建模框架。该框架使用优化和控制思想来组装和分解多物理场算子，并在离散化过程中保留其基本物理属性。该框架的一种应用是为基于优化的传输（OBT）制定鲁棒的算法。基于第1部分中建立的理论基础和第2部分中得出的用于解决remap子问题的优化算法，本文重点研究OBT在一组基准运输问题上的应用。与另外两种基于增量重映射的传输方案的数值比较，分别具有磁通校正的重映射和具有van Leer限制的线性重构，证明OBT是一种竞争性传输算法。

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《International conference on large-scale scientific computing》|2012年|81-88|共8页
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Denis Ridzal; Joseph Young; Pavel Bochev; Kara Peterson;
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Optimization-Based Modeling with Applications to Transport: Part 3. Computational Studies

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