Reduced order modeling of ODE-PDE networks
نویسندگان
چکیده
We propose a model order reduction (MOR) approach for networks containing simple and complex components modeled by linear ODE and nonlinear PDE systems respectively. These systems are coupled through the network topology using the Kirchhoff laws. We consider as application MOR for electrical networks, where semiconductors form the complex components. POD combined with discrete empirical interpolation (DEIM) and passivity-preserving balanced truncation methods for electrical circuits (PABTEC) can be used to reduce the dimension of the whole model.
منابع مشابه
THE USE OF A RUNGE-KUTTA SCHEME FOR AN ODE-PDE MODEL OF SUPPLY CHAINS
Integrating various suppliers to satisfy market demand is of great importance for e ective supply chain management. In this paper, we consider the ODE-PDE model of supply chain and apply a classical explicit fourth-order Runge-Kutta scheme for the related ODE model of suppliers. Also, the convergence of the proposed method is proved. Finally a numerical example is studied to demonstrate the acc...
متن کاملModel Order Reduction for Networks of ODE and PDE Systems
We propose a model order reduction (MOR) approach for networks containing simple and complex components. Simple components are modeled by linear ODE (and/or DAE) systems, while complex components are modeled by nonlinear PDE (and/or PDAE) systems. These systems are coupled through the network topology using the Kirchhoff laws. As application we consider MOR for electrical networks, where semico...
متن کاملCoupling vs decoupling approaches for PDE/ODE systems modeling intercellular signaling
We consider PDE/ODE systems for the simulation of intercellular signaling in multicellular environments. The intracellular processes for each cell described here by ODEs determine the long-time dynamics, but the PDE part dominates the solving effort. Thus, it is not clear if commonly used decoupling methods can outperform a coupling approach. Based on a sensitivity analysis, we present a system...
متن کاملMicrosystem CAD: From FEM to System Simulation
Microsystem technology is a highly interdisciplinary area. Therefore, a combination of different CAD methods and tools is necessary for supporting microsystem design. Process and device simulation are basic CAD methods but more and more higher levels of abstraction need to be applied in order to analyze microsystems adequately. This paper summarizes several modeling and simulation strategies fo...
متن کاملIn silico ordinary differential equation/partial differential equation hemodialysis model estimates methadone removal during dialysis
BACKGROUND There is a need to have a model to study methadone's losses during hemodialysis to provide informed methadone dose recommendations for the practitioner. AIM To build a one-dimensional (1-D), hollow-fiber geometry, ordinary differential equation (ODE) and partial differential equation (PDE) countercurrent hemodialyzer model (ODE/PDE model). METHODOLOGY We conducted a cross-section...
متن کامل