The present paper tackles the optimization problem of double layer grids considering nonlinear behaviour. In this paper, an efficient optimization algorithm is proposed to achieve the optimization task based on the newly developed grey wolf algorithm (GWA) termed as sequential GWA (SGWA). In the framework of SGWA, a sequence of optimization processe...

A number of known techniques for improving cache performance in scientific computations involve the reordering of the iteration space. Some of these reorderings can be considered coverings of the iteration space with sets having small surfaceto-volume ratios. Use of such sets may reduce the number of cache misses in computations of local operators having the iteration space as their domain. Fir...

in this paper we investigate the effect of a random transverse field, distributed according to a trimodal distribution, on the phase diagram and magnetic properties of a two-dimensional lattice (square with z=4),  ferromagnetic ising system consisting of magnetic atoms with spin-1. this study is done using the effectivefield theory (eft) with correlations method. the equations are derived using...

A new approach for the solution of time-dependent calculations of buoyancy driven currents is presented. The density distribution is not uniform throughout the flow field, however the incompressibility condition and Boussinesq approximation are assumed to be valid because the time variation of density is not significant. This method employs the idea that density variation can be pursued by usin...

In this paper we develop a numerical method to solve Boltzmann like equations of kinetic theory which is able to capture the compressible Navier-Stokes dynamics at small Knudsen numbers. Our approach is based on the micro/macro decomposition technique, which applies to general collision operators. This decomposition is performed in all the phase space and leads to an equivalent formulation of t...

This work focuses on numerically modelling the dynamics of a single phase fluid at varying densities and pressures. We explore the potential of incompressible flow simulation methods in modelling compressible flow, with an eye towards computer animation applications. The methods developed capture the interesting thermodynamic effects of compressible flow, and reduce to the standard Marker and C...

In computational fluid dynamics (CFD) and hydrodynamics, free surface flow is always a hot issue. In this paper, an incompressible material point method (iMPM) is proposed based on operator splitting in which the solution of the momentum equation is split into two steps. The pressure term is ignored first, and the predicted velocities can be obtained by solving the momentum equations without th...

Volume Of Fluid (VOF) is one of the most powerful methods to resolve free surface ows. In this study, a new algorithm is developed in a curvilinear coordinate system, which implements an implicit pressure based method (SIMPLE) with a staggered grid and a Lagrangian propagation of the interface, using the VOF method in the computational domain. Based on this algorithm, a computer code is generat...

An optimized fourth-order staggered-grid finitedifference (FD) operator is derived on a mesh with variable grid spacing and implemented to solve 2-D velocity-stress elastic wave equations. The idea in optimized schemes is to minimize the difference between the effective wave number and the actual wave number. As expected, this optimized variable-grid FD scheme has less dispersion errors than th...