Convergence and error analysis of a bi-quadratic triangular galerkin finite element model for heat conduction simulation

Convergence and error analysis of a bi-quadratic triangular galerkin finite element model for heat conduction simulation

Present paper elaborates solution of partial differential equations (PDE) of two dimensional steady state heat conduction by using a bi quadratic triangular Galerkin’s finite element method (QGFEM). The steady state heat distribution is modeled by a two-dimensional Laplace partial differential equat...

Full description

Bibliographic Details
Main Authors: Sulaeman, Erwin, Hoq, S.M. Afzal, Okhunov, Abdurahim, Hilmy, Irfan, Badran, Marwan A A
Format: Article
Language:English
English
Published: Penerbit Akademia Baru 2019
Subjects:
TJ255 Heat engines
Online Access:http://irep.iium.edu.my/67603/
http://irep.iium.edu.my/67603/
http://irep.iium.edu.my/67603/9/67603%20Convergence%20and%20error%20analysis.pdf
http://irep.iium.edu.my/67603/10/67603%20Convergence%20and%20error%20analysis%20SCOPUS.pdf
id iium-67603
recordtype eprints
spelling iium-676032019-07-12T08:50:40Z http://irep.iium.edu.my/67603/ Convergence and error analysis of a bi-quadratic triangular galerkin finite element model for heat conduction simulation Sulaeman, Erwin Hoq, S.M. Afzal Okhunov, Abdurahim Hilmy, Irfan Badran, Marwan A A TJ255 Heat engines Present paper elaborates solution of partial differential equations (PDE) of two dimensional steady state heat conduction by using a bi quadratic triangular Galerkin’s finite element method (QGFEM). The steady state heat distribution is modeled by a two-dimensional Laplace partial differential equations. A six-node triangular element model is developed for the QGFEM based on quadratic basis functions on the Cartesian coordinate system where physical domain is meshed by structured grid. The elemental stiffness matrix is formulated by using a direct integration scheme along the triangular domain area without the necessity to use the Jacobian matrix. Validation is conducted to an analytical solution of a rectangular plate having mixed, asymmetric boundary conditions. Comparisons of the present QGFEM results and the exact solution show promising results. The convergence of the method is presented by checking the error analysis for various number of elements used for the simulation Penerbit Akademia Baru 2019-02 Article PeerReviewed application/pdf en http://irep.iium.edu.my/67603/9/67603%20Convergence%20and%20error%20analysis.pdf application/pdf en http://irep.iium.edu.my/67603/10/67603%20Convergence%20and%20error%20analysis%20SCOPUS.pdf Sulaeman, Erwin and Hoq, S.M. Afzal and Okhunov, Abdurahim and Hilmy, Irfan and Badran, Marwan A A (2019) Convergence and error analysis of a bi-quadratic triangular galerkin finite element model for heat conduction simulation. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 54 (1). pp. 78-86. ISSN 2289-7879 http://www.akademiabaru.com/doc/ARFMTSV54_N1_P78_86.pdf
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
English
topic TJ255 Heat engines
spellingShingle TJ255 Heat engines
Sulaeman, Erwin
Hoq, S.M. Afzal
Okhunov, Abdurahim
Hilmy, Irfan
Badran, Marwan A A
Convergence and error analysis of a bi-quadratic triangular galerkin finite element model for heat conduction simulation
description Present paper elaborates solution of partial differential equations (PDE) of two dimensional steady state heat conduction by using a bi quadratic triangular Galerkin’s finite element method (QGFEM). The steady state heat distribution is modeled by a two-dimensional Laplace partial differential equations. A six-node triangular element model is developed for the QGFEM based on quadratic basis functions on the Cartesian coordinate system where physical domain is meshed by structured grid. The elemental stiffness matrix is formulated by using a direct integration scheme along the triangular domain area without the necessity to use the Jacobian matrix. Validation is conducted to an analytical solution of a rectangular plate having mixed, asymmetric boundary conditions. Comparisons of the present QGFEM results and the exact solution show promising results. The convergence of the method is presented by checking the error analysis for various number of elements used for the simulation
format Article
author Sulaeman, Erwin
Hoq, S.M. Afzal
Okhunov, Abdurahim
Hilmy, Irfan
Badran, Marwan A A
author_facet Sulaeman, Erwin
Hoq, S.M. Afzal
Okhunov, Abdurahim
Hilmy, Irfan
Badran, Marwan A A
author_sort Sulaeman, Erwin
title Convergence and error analysis of a bi-quadratic triangular galerkin finite element model for heat conduction simulation
title_short Convergence and error analysis of a bi-quadratic triangular galerkin finite element model for heat conduction simulation
title_full Convergence and error analysis of a bi-quadratic triangular galerkin finite element model for heat conduction simulation
title_fullStr Convergence and error analysis of a bi-quadratic triangular galerkin finite element model for heat conduction simulation
title_full_unstemmed Convergence and error analysis of a bi-quadratic triangular galerkin finite element model for heat conduction simulation
title_sort convergence and error analysis of a bi-quadratic triangular galerkin finite element model for heat conduction simulation
publisher Penerbit Akademia Baru
publishDate 2019
url http://irep.iium.edu.my/67603/
http://irep.iium.edu.my/67603/
http://irep.iium.edu.my/67603/9/67603%20Convergence%20and%20error%20analysis.pdf
http://irep.iium.edu.my/67603/10/67603%20Convergence%20and%20error%20analysis%20SCOPUS.pdf
first_indexed 2023-09-18T21:35:57Z
last_indexed 2023-09-18T21:35:57Z
_version_ 1777412821419556864

Similar Items