The previously reported neBEM solver has been used to solve electrostatic problems having three-dimensional edges and corners in the physical domain. Both rectangular and triangular elements have been used to discretize the geometries under study. In order to maintain very high level of precision, a library of C functions yielding exact values of potential and flux influences due to uniform surface distribution of singularities on flat triangular and rectangular elements has been developed and used. Here we present the exact expressions proposed for computing the influence of uniform singularity distributions on triangular elements and illustrate their accuracy. We then consider several problems of electrostatics containing edges and singularities of various orders including plates and cubes, and L-shaped conductors. We have tried to show that using the approach proposed in the earlier paper on neBEM and its present enhanced (through the inclusion of triangular elements) form, it is possible to obtain accurate estimates of integral features such as the capacitance of a given conductor and detailed ones such as the charge density distribution at the edges/corners without taking resort to any new or special formulation. Results obtained using neBEM have been compared extensively with both existing analytical and numerical results. The comparisons illustrate the accuracy, flexibility and robustness of the new approach quite comprehensively.
Keywords for this software
References in zbMATH (referenced in 7 articles , 1 standard article )
Showing results 1 to 7 of 7.
- Ramšak, Matjaž: Multidomain BEM for laminar flow in complex fractal geometry (2019)
- Zhang, Jianming; Zhong, Yudong; Dong, Yunqiao; Lin, Weicheng: Expanding element interpolation method for analysis of thin-walled structures (2018)
- Zhang, Jianming; Han, Lei; Lin, Weicheng; Dong, Yunqiao; Ju, Chuanming: A new implementation of BEM by an expanding element interpolation method (2017)
- Zhang, Jianming; Lin, Weicheng; Dong, Yunqiao; Ju, Chuanming: A double-layer interpolation method for implementation of BEM analysis of problems in potential theory (2017)
- Helsing, Johan; Perfekt, Karl-Mikael: On the polarizability and capacitance of the cube (2013)
- Ghosh, Ranajay; Mukherjee, Subrata: Application of singular elements for fully Lagrangian modeling of dynamics of MEMS with thin beams (2010)
- Mukhopadhyay, Supratik; Majumdar, Nayana: A study of three-dimensional edge and corner problems using the nebem solver (2009)
Further publications can be found at: http://www.saha.ac.in/cs/ino.web/neBEM/Publication.html