Phase separation of a two-dimensional van derWaals fluid subject to a gravitational force is studied by numerical simulations based on lattice Boltzmannmethods (LBM) implemented with a finite difference scheme. A growth exponent α=1 is measured in the direction of the external force. PACS: 47.11.-j, 47.20.Hw, 05.70.Ln

Seismic wave modelling algorithms used for calculating the seismic response of a given earth model, require large computational resources in terms of speed and memory. In this paper we describe the PVM (Parallel Virtual Machine) implementation of these algorithms in a distributed computing environment. Both the acoustic and elastic wave modelling equations are formulated as a first order hyperb...

Numerical experiments performed with an exponential finite difference method in equally-spaced and piecewise-uniform meshes for both the inner and the outer layers and with an implicit Runge-Kutta-Radau IIA method for the outer layer of singularly-perturbed Volterra integro-differential equations are reported. The exponential finite difference technique is based on piecewise linear approximatio...

In this paper, based on the concept of domain decomposition and alternating group, we construct a class of Finite Difference method for fifth order dispersive equations, Stability Analysis for he method is given. Then we construct a new alternating group explicit iterative method. Both the two methods are suitable for parallel computation. Results of numerical experiments show the methods are e...

Adaptive grid refinement in Fortran (AGRIF) is a Fortran90 package for the integration of adaptive mesh refinement (AMR) features within existing finite difference codes. The package first provides model-independent Fortran90 procedures containing the different operations in an AMR process: time integration of grid hierarchy, clustering, interpolations, updates, etc. The package then creates th...

We suggest an approach to grid optimization for a second order finite-difference scheme for elliptic equations. A model problem corresponding to the three-point finite-difference semidiscretization of the Laplace equation on a semi-infinite strip is considered. We relate the approximate boundary Neumann-to-Dirichlet map to a rational function and calculate steps of our finite-difference grid us...