Application of smoothed particle hydrodynamics method in solving two dimensional shear driven cavity problems

Abstract

Solution to the two-dimensional (2D) shear driven cavity problem has been done by many researchers earlier. Numerical methods are always being used in solving 2D shear driven cavity problem. The usual numerical method being chosen is the grid-based method such as finite difference method (FDM), finite element method and alternating direction implicit method. However, in this research, the smoothed particle hydrodynamics (SPH) method is chosen and being studied to be applied in solving the 2D shear driven cavity problem. The algorithm for SPH method is also being developed. As for making the comparisons to study on the accuracy of SPH method, 2D shear driven cavity also being solved using FDM. MATLAB and FORTRAN programming are used as a calculation medium for both the FDM and SPH method respectively.