Discretization of Three Dimensional Non-Uniform Grid: Conditional Moment Closure Elliptic Equation Using Finite Difference Method

• Main Authors: M. M., Noor, Wandel, Andrew P., Yusaf, Talal
• Format: Conference or Workshop Item
• Language: English
• Published: 2013
• Subjects: TJ Mechanical engineering and machinery; QA Mathematics; QC Physics
• Online Access: http://umpir.ump.edu.my/id/eprint/3873/1/fkm-2013-mm_noor-discretization_of_three.pdf; http://umpir.ump.edu.my/id/eprint/3873/

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.