Simulation of complex and non-linear dynamical systems needs numerical algorithms which are time-consuming due to hardware limitations. Reduced-order model is the method that could be an alternative approach for simulating complex dynamical systems using some appropriate data from the system responses. Usually, these models are developed based on the dominant features of the desired system. Dynamic mode decomposition is one of the methods for calculating these basis functions. In this study, using this method and based on the concepts of dynamical systems, a reduced-order model has been developed for Burgers equation. Also, due to the incompleteness of the related modal space which is changed to low-dimensional space in order reduction procedure, the dissipation level of the surrogate model is decreased. Therefore, by using an artificial viscosity which is called the eddy viscosity approach, the stability of the model is improved. Eventually, comparing the results obtained by the stabilized reduced order model and direct numerical simulation data, the accuracy of the model with an average error of 0.4% is proven.
Moayyedi, M. K., Bigdeloo, F., & Khakzari, Z. (2024). Stabilization of Intrusive DMD based Reduced Order Model of the Convection-Diffusion Equations. Iranian Journal of Mechanical Engineering Transactions of the ISME, (), -. doi: 10.30506/jmee.2024.2007857.1317
MLA
Mohammad Kazem Moayyedi; Fatemeh Bigdeloo; Zohreh Khakzari. "Stabilization of Intrusive DMD based Reduced Order Model of the Convection-Diffusion Equations". Iranian Journal of Mechanical Engineering Transactions of the ISME, , , 2024, -. doi: 10.30506/jmee.2024.2007857.1317
HARVARD
Moayyedi, M. K., Bigdeloo, F., Khakzari, Z. (2024). 'Stabilization of Intrusive DMD based Reduced Order Model of the Convection-Diffusion Equations', Iranian Journal of Mechanical Engineering Transactions of the ISME, (), pp. -. doi: 10.30506/jmee.2024.2007857.1317
VANCOUVER
Moayyedi, M. K., Bigdeloo, F., Khakzari, Z. Stabilization of Intrusive DMD based Reduced Order Model of the Convection-Diffusion Equations. Iranian Journal of Mechanical Engineering Transactions of the ISME, 2024; (): -. doi: 10.30506/jmee.2024.2007857.1317