Analysis of coupling methods: a review (original) (raw)

Multiphysics modeling of mechatronic multibody systems

Modeling mechatronic multibody systems requires the same type of methodology as for designing and prototyping mechatronic devices: a unified and integrated engineering approach. Various formulations are currently proposed to deal with multiphysics modeling, e.g. graph theories, equational approaches, cosimulation techniques. Recent works have pointed out their relative advantages and drawbacks, depending on the application to deal with: model size, model complexity, degree of coupling, frequency range, etc. This paper is the result of a close collaboration between three Belgian laboratories, and aims at showing that for "non-academic" mechatronic applications (i.e. issuing from real industrial issues), multibody dynamics formulations can be generalized to mechatronic applications, for the model generation as well as for the numerical analysis phases. Model portability being also an important aspect of the work, they must be easily interfaced with control design and optimization programs. A global "demonstrator", based on an industrial case, is discussed: multiphysics modeling, control design and mathematical optimization are carried out to illustrate the consistency and the efficiency of the proposed approaches. 42 PROCEEDINGS OF ISMA2006

Numerical Modeling of coupled phenomena in science and engnieering

2009

Numerical modeling is the process of obtaining approximate solutions to problems of scientific and/or engineering interest. The book series addresses novel mathematical and numerical techniques with an interdisciplinary emphasis that cuts across all fields of science, engineering and technology. It focuses on breakthrough research in a richly varied range of applications in physical, chemical, biological, geoscientific, medical and other fields in response to the explosively growing interest in numerical modeling in general and its expansion to ever more sophisticated physics. The goal of this series is to bridge the knowledge gap among engineers, scientists, and software developers trained in a variety of disciplines and to improve knowledge transfer among these groups involved in research, development and/or education. This book series offers a unique collection of worked problems in different fields of engineering and applied mathematics and science, with a welcome emphasis on coupling techniques. The book series fills a need for up-to-date information on numerical modeling.

Multiphysics modeling and optimization of mechatronic multibody systems

Multibody System Dynamics

Modeling mechatronic multibody systems requires the same type of methodology as for designing and prototyping mechatronic devices: a unified and integrated engineering approach. Various formulations are currently proposed to deal with multiphysics modeling, e.g., graph theories, equational approaches, co-simulation techniques. Recent works have pointed out their relative advantages and drawbacks, depending on the application to deal with: model size, model complexity, degree of coupling, frequency range, etc. This paper is the result of a close collaboration between three laboratories, and aims at showing that for "non-academic" mechatronic applications (i.e., issuing from real industrial issues), multibody dynamics formulations can be generalized to mechatronic systems, for the model generation as well as for the numerical analysis phases. Model portability being also an important aspect of the work, they must be easily interfaced with control design and optimization programs. A global "demonstrator", based on an industrial case, is discussed: multiphysics modeling and mathematical optimization are carried out to illustrate the consistency and the efficiency of the proposed approaches.

Coupling requirements for multi-physics problems

2016

We consider two hyperbolic systems onfirst order form of different size posed on two domains. Our ambition is to derive general conditions for when the two systems can and cannot be coupled.The adj ...

Coupling Requirements for Multiphysics Problems Posed on Two Domains

SIAM Journal on Numerical Analysis

We consider two hyperbolic systems in first order form of different size posed on two domains. Our ambition is to derive general conditions for when the two systems can and cannot be coupled. The adjoint equations are derived and well-posedness of the primal and dual problems is discussed. By applying the energy method, interface conditions for the primal and dual problems are derived such that the continuous problems are well posed. The equations are discretized using a high order finite difference method in summation-by-parts form and the interface conditions are imposed weakly in a stable way, using penalty formulations. It is shown that one specific choice of penalty matrices leads to a dual consistent scheme. By considering an example, it is shown that the correct physical coupling conditions are contained in the set of well posed coupling conditions. It is also shown that dual consistency leads to superconverging functionals and reduced stiffness.

Coupling Requirements for Well Posed and Stable Multi-Physics Problems

We discuss well-posedness and stability of multi-physics problems by studying a model problem. By applying the energy method, boundary and interface conditions are derived such that the continuous and semi-discrete problem are well-posed and stable. The numerical scheme is implemented using high order finite difference operators on summation-by-parts (SBP) form and weakly imposed boundary and interface conditions. Numerical experiments involving a spectral analysis corroborate the theoretical findings.

The Nitsche method applied to a class of mixed-dimensional coupling problems

Computer Methods in Applied Mechanics and Engineering, 2014

A computational approach for the mixed-dimensional modeling of time-harmonic waves in elastic structures is proposed. A two-dimensional (2D) structure is considered, that includes a part which is assumed to behave in a one-dimensional (1D) way. The 2D and 1D structural regions are discretized using 2D and 1D finite element formulations. The coupling of the 2D and 1D regions is performed weakly, by using the Nitsche method. The advantage of using the Nitsche method to impose boundary and interface conditions has been demonstrated by various authors; here this advantage is shown in the context of mixed-dimensional coupling. The computational aspects of the method are discussed, and it is compared to the slightly simpler penalty method, both theoretically and numerically. Numerical examples are presented in various configurations: where the 1D model is either confined laterally or laterally free, and where the 2D part is either simply connected or doubly connected. The performance is investigated for various wave numbers and various extents of the 1D region. Varying material properties and distributed loads in the 1D and 2D parts are also considered. It is concluded that the Nitsche method is a viable technique for mixed-dimensional coupling of elliptic problems of this type.

Model Coupling in Structural Engineering Application

The paper shows an approach for the coupling of mathematical and physical models in the abstraction process of structural engineering models. Based on the uncertainty quantification in both types of models, weighting factors for the model combination are determined. The more certain a model is, the more it is taken into account in the coupled model. So the coupling approach gives the possibility to verify the accuracy of the used models and to adjust the coupled model to be more precise in predicting physical reality. By usage of the academic example of a cantilever beam, the applicability of the approach is demonstrated.