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Numerical Simulation of Heat Transfer Diffusion-Convection in Two-Dimensional Space

by Desy Purnami Singgih Putri, I Made Sunia Raharja, Kadek Suar Wibawa
journal cover thumbnail

International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 179 - Number 21
Year of Publication: 2018
Authors: Desy Purnami Singgih Putri, I Made Sunia Raharja, Kadek Suar Wibawa
10.5120/ijca2018916383

Desy Purnami Singgih Putri, I Made Sunia Raharja, Kadek Suar Wibawa . Numerical Simulation of Heat Transfer Diffusion-Convection in Two-Dimensional Space. International Journal of Computer Applications. 179, 21 ( Feb 2018), 16-18. DOI=10.5120/ijca2018916383

@article{ 10.5120/ijca2018916383,
author = { Desy Purnami Singgih Putri, I Made Sunia Raharja, Kadek Suar Wibawa },
title = { Numerical Simulation of Heat Transfer Diffusion-Convection in Two-Dimensional Space },
journal = { International Journal of Computer Applications },
issue_date = { Feb 2018 },
volume = { 179 },
number = { 21 },
month = { Feb },
year = { 2018 },
issn = { 0975-8887 },
pages = { 16-18 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume179/number21/28991-2018916383/ },
doi = { 10.5120/ijca2018916383 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-07T00:56:03.085778+05:30
%A Desy Purnami Singgih Putri
%A I Made Sunia Raharja
%A Kadek Suar Wibawa
%T Numerical Simulation of Heat Transfer Diffusion-Convection in Two-Dimensional Space
%J International Journal of Computer Applications
%@ 0975-8887
%V 179
%N 21
%P 16-18
%D 2018
%I Foundation of Computer Science (FCS), NY, USA
Abstract

The diffusion convection equation is a mathematical model of transport event that occurs in the fluid. The equation can be solved numerically by using finite element method and in this research use Least Square finite element method. This method is based on minimizing second cube residue and on its application, it will produce a symmetric system and definite positive linear equations. This research will present a numerical simulation on the diffusion convection equation in two dimensional space use linear interpolation.

References
  1. Bejan, A., 2013, Convec-tion Heat Transfer, Wiley, and Sons.
  2. Jiang, B.N., 1998, The Least Squares Finite Element Method, Springer-Verlag, Berlin.
  3. Jiji, L.M., 2006, Heat Convection, Springer-Verlag, Berlin.
  4. Kumar, A., Jaiswal, D.K., Kumar, N., 2009, Analytical Solutions of One-Dimensional Advection-Diffusion Equation with Variable Coefficients in Finite Do- main, Banaras Hindu University, India.
  5. Perko, L., 2000, Differential Equations and Dynamical Sys- tem, Springer-Verlag, New York.
  6. Pireira, V.D., Silva, J.B.C, Moura, L.F.M, dan Romao, E.C., 2014, Stabilized Least Squares Finite Element Method for 2D and 3D Convection-Diffusion, Wseas Transactions on Applied and Theoretical Mechanics, Vol. 9, hal. 45-59, 2014.
Index Terms

Computer Science
Information Sciences

Keywords

finite element method least square convection diffusion.

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