Nonlinear coupled thermo-electromagnetic problems with the cell method

2006 ◽  
Vol 42 (4) ◽  
pp. 991-994 ◽  
Author(s):  
M. Bullo ◽  
F. Dughiero ◽  
M. Guarnieri ◽  
E. Tittonel
Keyword(s):  
Electromagnetic Problems ◽  
Cell Method

scholarly journals Coupling the Cell Method with the Boundary Element Method in Static and Quasi–Static Electromagnetic Problems

Mathematics ◽  
2021 ◽  
Vol 9 (12) ◽  
pp. 1426
Author(s):  
Federico Moro ◽  
Lorenzo Codecasa
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Hybrid Approach ◽  
Iterative Solution ◽  
Third Order ◽  
Electromagnetic Problems ◽  
Cell Method ◽  
Hybrid Approaches ◽  
Complex Topology ◽  
Element Method

A unified discretization framework, based on the concept of augmented dual grids, is proposed for devising hybrid formulations which combine the Cell Method and the Boundary Element Method for static and quasi-static electromagnetic field problems. It is shown that hybrid approaches, already proposed in literature, can be rigorously formulated within this framework. As a main outcome, a novel direct hybrid approach amenable to iterative solution is derived. Both direct and indirect hybrid approaches, applied to an axisymmetric model, are compared with a reference third-order 2D FEM solution. The effectiveness of the indirect approach, equivalent to the direct approach, is finally tested on a fully 3D benchmark with more complex topology.

A Novel Neural Network Cell Method for Solving Nonlinear Electromagnetic Problems

2021 ◽  
pp. 2100216
Author(s):  
Gaojia Zhu ◽  
Longnv Li ◽  
Weinong Fu ◽  
Ming Xue ◽  
Tao Liu ◽  
...  
Keyword(s):  
Neural Network ◽  
Network Cell ◽  
Electromagnetic Problems ◽  
Cell Method

scholarly journals A Novel Neural Network Cell Method for Solving Nonlinear Electromagnetic Problems (Adv. Theory Simul. 12/2021)

2021 ◽  
Vol 4 (12) ◽  
pp. 2170030
Author(s):  
Gaojia Zhu ◽  
Longnv Li ◽  
Weinong Fu ◽  
Ming Xue ◽  
Tao Liu ◽  
...  
Keyword(s):  
Neural Network ◽  
Network Cell ◽  
Electromagnetic Problems ◽  
Cell Method

Cartesian cut-cell method for axisymmetric separating body flows

AIAA Journal ◽  
1999 ◽  
Vol 37 ◽  
pp. 905-911
Author(s):  
G. Yang ◽  
D. M. Causon ◽  
D. M. Ingram
Keyword(s):  
Cell Method ◽  
Cut Cell ◽  
Cartesian Cut

scholarly journals Finite cell method for functionally graded materials based on V-models and homogenized microstructures

2020 ◽  
Vol 7 (1) ◽  
Author(s):  
Benjamin Wassermann ◽  
Nina Korshunova ◽  
Stefan Kollmannsberger ◽  
Ernst Rank ◽  
Gershon Elber
Keyword(s):  
Functionally Graded Materials ◽  
Large Scale ◽  
Functionally Graded ◽  
Material Behavior ◽  
Modeling Framework ◽  
Finite Cell Method ◽  
Geometric Framework ◽  
Graded Materials ◽  
Cell Method ◽  
Finite Cell

AbstractThis paper proposes an extension of the finite cell method (FCM) to V-rep models, a novel geometric framework for volumetric representations. This combination of an embedded domain approach (FCM) and a new modeling framework (V-rep) forms the basis for an efficient and accurate simulation of mechanical artifacts, which are not only characterized by complex shapes but also by their non-standard interior structure. These types of objects gain more and more interest in the context of the new design opportunities opened by additive manufacturing, in particular when graded or micro-structured material is applied. Two different types of functionally graded materials (FGM) are considered: The first one, multi-material FGM is described using the inherent property of V-rep models to assign different properties throughout the interior of a domain. The second, single-material FGM—which is heterogeneously micro-structured—characterizes the effective material behavior of representative volume elements by homogenization and performs large-scale simulations using the embedded domain approach.

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