A Novel and General Approach for Solving the Ion-Flow Field Problem by a Regularization Technique
Article dans une revue avec comité de lecture
In order to have a better convergence and accuracy for solving the ion-flow field problem, a novel and general numerical approach is proposed. In the past, the framework of the traditional mesh based method has a dilemma that the Kapzov boundary condition can be imposed properly, and it must have two loops: the “well-posed” problem is solved in the inner loop and the secant based method is applied to impose the Kapzov assumption in the outer loop. In contrast, the proposed method solves the ion flow field problem from the perspective of the inverse problem. The original boundary value problem is transformed into a regularized optimization problem based on the prior information about the smooth ion distribution on the conductors. The objective function is separated into two parts and minimized by the alternating direction iterative method. In contrast to the traditional methods, the proposed method has removed the redundant iterations and the contentious simplifications. Numerical experiments show that the performance of the proposed method is superior to the traditional method and the results obtained by the proposed method agree better with the physical law than the traditional method. the new method presents a general and rigorous way to analysis the ion-flow field problem.
Fichier(s) constituant cette publication
Cette publication figure dans le(s) laboratoire(s) suivant(s)
Visualiser des documents liés par titre, auteur, créateur et sujet.
Article dans une revue avec comité de lecturePIERQUIN, Antoine; HENNERON, Thomas; CLENET, Stéphane; BRISSET, Stephane (Wydawnictwo Czasopism i Ksia̜żek Technicznych Sigma, 2015)The modelling of a multirate system -composed of components with heterogeneous time constants- can be done using fixed-point method. This method allows a time-discretization of each subsystem with respect to its own time ...
Multirate coupling of controlled rectifier and non-linear finite element model based on Waveform Relaxation Method Article dans une revue avec comité de lectureHENNERON, Thomas; CLENET, Stéphane; PIERQUIN, Antoine; BRISSET, Stéphane (Institute of Electrical and Electronics Engineers, 2016)To study a multirate system, each subsystem can be solved by a dedicated sofware with respect to the physical problem and the time constant. Then, the problem is the coupling of the solutions of the subsystems. The Waveform ...
Benefits of Waveform Relaxation Method and Output Space Mapping for the Optimization of Multirate Systems Article dans une revue avec comité de lecturePIERQUIN, Antoine; BRISSET, Stéphane; HENNERON, Thomas; CLENET, Stéphane (Institute of Electrical and Electronics Engineers, 2014)We present an optimization problem that requires to model a multirate system, composed of subsystems with different time constants. We use waveform relaxation method in order to simulate such a system. But computation time ...
Model-Order Reduction of Magnetoquasi-Static Problems Based on POD and Arnoldi-Based Krylov Methods Communication avec actePIERQUIN, Antoine; HENNERON, Thomas; CLENET, Stéphane; BRISSET, Stéphane (IEEE, 2015)The proper orthogonal decomposition method and Arnoldi-based Krylov projection method are investigated in order to reduce a finite-element model of a quasi-static problem. Both methods are compared on an academic example ...
Article dans une revue avec comité de lectureEL BECHARI, Reda; BRISSET, Stéphane; CLENET, Stéphane; MIPO, Jean-Claude (Institute of Electrical and Electronics Engineers, 2017)Meta-models proved to be a very efficient strategy for optimization of expensive black-box models, e.g. Finite Element simulation for electromagnetic devices. It enables to reduce the computational burden for optimization ...