The link-wise artificial compressibility method (LW-ACM) is a novel formulation of the artificial compressibility method for the incompressible Navier-Stokes equations showing strong analogies with the lattice Boltzmann method (LBM). The LW-ACM operates on regular Cartesian meshes and is therefore well-suited for massively parallel processors such as graphics processing units (GPUs). In this wo...

An implicit procedure based on the artificial compressibility formulation is presented for the numerical solution of the two-dimensional incompressible steady Navier-Stokes equations

A method suitable for computing fluid flow in the presence of moving boundaries is presented. In particular, the interaction of fluid with elastic walls is considered. The flow solver was developed based on artificial compressibility concept. The discrretization is done on unstructured tetrahedral meshes. A model of fluid interaction with elastic boundaries including boundary and mesh deformati...

An implicit muItigrid-driven algorithm for two-dimensional incompressible laminar viscous flows is coupled with a mesh adaptation method to better capture the important features of the flow for time dependent problems. Time dependent calculations are performed implicitly by regarding each time step as a steady-state problem in pseudotime. The method of artificial compressibility is used to solv...

This paper is concerned with an optimal shape control problem for the stationary Navier–Stokes system. A two–dimensional channel flow of an incompressible, viscous fluid is examined to determine the shape of a bump on a part of the boundary that minimizes the viscous drag. By introducing an artificial compressibility term to relax the incompressibility constraints, we take the penalty method. T...

We report an artificial acoustic compressibility-near-zero medium made of a phononic crystal composed epoxy blocks arranged in square lattice. Its anisotropic effective density leads to linear cross its isofrequency contour the vicinity Brillouin zone center, as compressibility approaches zero. When Gaussian beam is normally incident on crystal, splitting effect achieved at frequency crossing p...

In this paper, an enhanced computational code was developed using finite-volume method for solving the incompressible natural convection flow within the cylindrical cavities. Grids were generated by an easy method with a view to computer program providing. An explicit integration algorithm was applied to find the steady state condition. Also instead of the conventional algorithms of SIMPLE, SIM...