A Novel Approach to Model Order Reduction for Coupled Multiphysics Problems

Wil Schilders (1) , Agnieszka Lutowska (1)

1 Department of Mathematics and Computer Science [Eindhoven]

Model order reduction (MOR) has become an important tool in the design of complex high-tech systems. It can be used to find a low-order model that approximates the behavior of the original high-order model, where this low-order approximation facilitates both the computationally efficient analysis and controller design for the system to induce desired behavior. This chapter introduces MOR techniques that are designed especially for coupled problems, meaning that different physical phenomena are simulated in conjunction with each other. The method developed makes use of the reduction of the individual systems, and low rank approximations of the coupling blocks. This is done in such a way that existing software for industrial problems can be adapted in a straightforwward way. An industrial test case is described in detail, so as to demonstrate the effectiveness of the reduction technique.

Domaines: Sciences de l'ingénieur [physics]

Wil Schilders, Agnieszka Lutowska. A Novel Approach to Model Order Reduction for Coupled Multiphysics Problems. Reduced Order Methods for Modeling and Computational Reduction, 9, Springer, pp.1-49, 2014, Modeling, Simulation and Applications book series, 9783319020907. ⟨10.1007/978-3-319-02090-7_1⟩. ⟨hal-01713843⟩