Discretization of three dimensional non-uniform grid: conditional moment closure elliptic equation using finite difference method
Paper
Paper/Presentation Title | Discretization of three dimensional non-uniform grid: conditional moment closure elliptic equation using finite difference method |
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Presentation Type | Paper |
Authors | Noor, M. M. (Author), Wandel, Andrew P. (Author) and Yusaf, Talal (Author) |
Journal or Proceedings Title | Proceedings of the 3rd Malaysian Postgraduate Conference (MPC 2013) |
Number of Pages | 13 |
Year | 2013 |
Place of Publication | Sydney, Australia |
Conference/Event | 3rd Malaysian Postgraduate Conference (MPC 2013) |
Event Details | 3rd Malaysian Postgraduate Conference (MPC 2013) Event Date 04 to end of 05 Jul 2013 Event Location Sydney, Australia |
Abstract | In most engineering problems, the solution of meshing grid is non-uniform where fine grid is identified at the sensitive area of the simulation and coarse grid at the normal area. The purpose of the experiment is to ensure the simulation is accurate and utilizes appropriate resources. The discretization of non-uniform grid was done using Taylor expansion series and Finite Difference Method (FDM). Central difference method was used to minimize the error on the effect of truncation. The purpose of discretization is to transform the calculus problem (as continuous equation) to numerical form (as discrete equation). The steps are discretizing the continuous physical domain to discrete finite different grid and then approximate the individual partial derivative in the partial differential equation. This discretization method was used to discritize the Conditional Moment Closure (CMC) equation. The discrete form of CMC equation can be then coded using FORTRAN or MATLAB software. |
Keywords | finite difference method; Taylor series; conditional moment closure; non-uniform grid; FORTRAN; MATLAB |
ANZSRC Field of Research 2020 | 490203. Mathematical aspects of classical mechanics, quantum mechanics and quantum information theory |
490199. Applied mathematics not elsewhere classified | |
460605. Distributed systems and algorithms | |
Public Notes | This proceedings are open to public. |
Byline Affiliations | Computational Engineering and Science Research Centre |
Department of Mechanical and Mechatronic Engineering | |
Institution of Origin | University of Southern Queensland |
https://research.usq.edu.au/item/q20x8/discretization-of-three-dimensional-non-uniform-grid-conditional-moment-closure-elliptic-equation-using-finite-difference-method
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