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Coupling of model order reduction and multirate techniques for coupled dynamical systems
Applied Mathematics Letters ( IF 3.7 ) Pub Date : 2020-09-28 , DOI: 10.1016/j.aml.2020.106780
M.W.F.M. Bannenberg , A. Ciccazzo , M. Günther

In refined network simulation one is faced with simulating coupled dynamical systems, as for instance circuits are coupled to heat or electromagnetics. Simulation costs of such coupled systems can be reduced by both model order reduction and multirate techniques. In this paper we discuss the coupling of both approaches by linking the slowest-first multirate technique to the nonlinear proper orthogonal decomposition model order reduction. For a nonlinear coupled thermal–electrical test example numerical results show the proven convergence of the combined reduced order multirate scheme.



中文翻译:

耦合动力学系统模型降阶和多速率技术的耦合

在改进的网络仿真中,人们面对的是仿真耦合的动态系统,例如电路耦合至热或电磁。这种耦合系统的仿真成本可以通过模型降阶和多速率技术来降低。在本文中,我们通过将最慢优先多速率技术与非线性适当的正交分解模型的阶次降阶联系起来,讨论了两种方法的耦合。对于非线性耦合热电测试示例,数值结果显示了组合降阶多速率方案的已证明收敛。

更新日期:2020-09-29
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