NUMERICAL SOLUTIONS OF THE NONLINEAR POROUS MEDIA EQUATION BASED ON HIGH EXPLORATION PARTICLE SWARM OPTIMIZATION AND MOVING LEAST SQUARES
In this study, a new numerical method based on the combination of High Exploration Particle Swarm Optimization (HEPSO) and Moving Least Squares (MLS) is introduced to solve nonlinear porous media equations. The MLS scheme is employed to describe an appropriate discretized function, and the penalty method is implemented to convert the constrained pr...
By Mohammad Javad Mahmoodabadi, Ali Reza Ghanizadeh
DEVELOPMENT OF THE MESHLESS LOCAL PETROV-GALERKIN METHOD TO ANALYZE THREE-DIMENSIONAL TRANSIENT INCOMPRESSIBLE LAMINAR FLUID FLOW
In this paper, a numerical algorithm is presented to simulate the three-dimensional transient incompressible flow using a meshless local Petrov-Galerkin (MLPG) method. In the proposed algorithm, the forward finite difference (FFD) and MLPG methods are employed for discretization of time derivatives and solving the Poisson equation of the pressure, ...
By Mohammad Javad Mahmoodabadi, F Mahmoodabadi, Meysam Atashafrooz