Exact solutions to model surface and volume charge distributions

27th IUPAP Conference on Computational Physics

物理学;计算机科学

Mukhopadhyay, S.^1 ; Majumdar, N.^1 ; Bhattacharya, P.^1 ; Jash, A.^1 ; Bhattacharya, D.S.^1

Applied Nuclear Physics Department, Saha Institute of Nuclear Phyics, 1/AF, Bidhannagar, Kolkata

700064, India^1

关键词: Closed-form expression;    Computational domains;    Exact analytic solutions;    Far-field region;    Green's function approaches;    Science and Technology;    Three dimensional geometry;    Triangular elements;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/759/1/012073/pdf
DOI  :  10.1088/1742-6596/759/1/012073

学科分类：计算机科学（综合）

来源: IOP

【 摘 要 】

Many important problems in several branches of science and technology deal with charges distributed along a line, over a surface and within a volume. Recently, we have made use of new exact analytic solutions of surface charge distributions to develop the nearly exact Boundary Element Method (neBEM) toolkit. This 3D solver has been successful in removing some of the major drawbacks of the otherwise elegant Green's function approach and has been found to be very accurate throughout the computational domain, including near- and far-field regions. Use of truly distributed singularities (in contrast to nodally concentrated ones) on rectangular and right-triangular elements used for discretizing any three-dimensional geometry has essentially removed many of the numerical and physical singularities associated with the conventional BEM. In this work, we will present this toolkit and the development of several numerical models of space charge based on exact closed-form expressions. In one of the models, Particles on Surface (ParSur), the space charge inside a small elemental volume of any arbitrary shape is represented as being smeared on several surfaces representing the volume. From the studies, it can be concluded that the ParSur model is successful in getting the estimates close to those obtained using the first-principles, especially close to and within the cell. In the paper, we will show initial applications of ParSur and other models in problems related to high energy physics.