Publication Type : Conference Proceedings
Publisher : Proceedings of the International Conference on Communication and Electronics Systems
Source : Proceedings of the International Conference on Communication and Electronics Systems, ICCES 2016, Institute of Electrical and Electronics Engineers Inc. (2017)
Url : https://www.scopus.com/inward/record.uri?eid=2-s2.0-85018388319&doi=10.1109%2fCESYS.2016.7889838&partnerID=40&md5=6a913ffe11269db13f55c33417366363
ISBN : 9781509010653
Keywords : Boundary conditions, Computational geometry, Computational mechanics, Cut off wave number, Degrees of freedom (mechanics), Dirichlet boundary condition, Eigen-value, eigenvalues and eigenfunctions, Finite element method, Geometry, Global coordinate systems, Helmholtz equation, Higher order finite element method, Interpolating polynomials, Mapping, paabolic arcs, Quintic, Waveguides
Campus : Bengaluru
School : School of Engineering
Department : Mathematics
Verified : Yes
Year : 2017
Abstract : A simple and efficient higher order finite element scheme is presented for obtaining highly accurate numerical solution for the two-dimensional Helmholtz equation in waveguides of arbitrary cross-section subjected to dirichlet boundary conditions. The above approach makes use of the Quintic order (5th order) parabolic arcs for accurately mapping the irregular cross section of the waveguide and then transforming the entire waveguide geometry to a standard isosceles triangle. In case of waveguides with regular geometry the transformation is done by straight sided quintic order finite elements. A unique and accurate point transformation technique is developed that ensures high accuracy of mapping by this quintic order curved triangular elements. This point transformation procedure gives a simple interpolating polynomial that defines the transformation from the global coordinate system to the local coordinate system. The above higher order finite element method is found to be highly optimal and accurate considering the various computational parameters like the number of triangular elements, degrees of freedom, nodal point distribution on the entire geometry, etc. © 2016 IEEE.
Cite this Research Publication : D. T. Panda, Dr. K.V. Nagaraja, V. Naidu, K., and Sarada Jayan, “Application of quintic order parabolic arcs in the analysis of waveguides with arbitrary cross-section”, in Proceedings of the International Conference on Communication and Electronics Systems, ICCES 2016, 2017.