Many soft tissues are considered to be virtually incompressible. A number of recent analyses of the mechanics of these tissues have used Poisson's ratios in the range of 0.45 to 0.49 with little or no documentation, the apparent assumption being that a small change in Poisson's ratio will not significantly affect the results. We demonstrate here that the mechanics of a narrowly contained soft t...

In this paper we study how to approximate the Leray weak solutions of the incompressible Navier Stokes equation. In particular we describe an hyperbolic version of the so called artificial compressibility method investigated by J.L.Lions and Temam. By exploiting the wave equation structure of the pressure of the approximating system we achieve the convergence of the approximating sequences by m...

In this article, a laminar magnetohydrodynamics (MHD) developing flow of an incompressible electrically conducting fluid subjected to an external magnetic field is considered. The aim of the study is to propose a correlation for computing the development length of the laminar MHD developing flow in a pipe. A numerical approach is considered to solve the problem. In the first step, the numerical...

Several competing artificial compressibility methods for the incompressible flow equations are examined using high-order flux reconstruction method. The established method (ACM) of \citet{Chorin1967} is compared to alternative entropically damped (EDAC) \citet{Clausen2013}, as well an ACM formulation with hyperbolised diffusion. While former requires solution be converged a divergence free stat...

The aim of this paper is to give a detailed effect of several parameters such as step height, Reynolds number, contraction ratio, and temperature difference between the entrance and solid boundaries, of a forward-facing step. An accurate length of separation and reattachment zones are achieved. A finite-volume method (FVM) has been developed to study incompressible flow in a forward-facing step...

The link-wise artificial compressibility method (LW-ACM) is a recent formulation of the artificial compressibility method for solving the incompressible Navier– Stokes equations. Two implementations of the LW-ACM in three dimensions on CUDA enabled GPUs are described. The first one is a modified version of a stateof-the-art CUDA implementation of the lattice Boltzmann method (LBM), showing that...

Both the artificial compressibility method and the lattice Boltzmann method yield the solutions of the incompressible Navier-Stokes equations in the limit of the vanishing Mach number. The inclusion of the bulk viscosity is one of the reasons for the success of the lattice Boltzmann method since it removes quickly the acoustic mode, which inevitably appears as the compressible effect, and contr...

The artificial compressibility method for the incompressible Navier-Stokes equations is revived as a high order accurate numerical method (4th order in space and 2nd order in time). Similar to the lattice Boltzmann method, the mesh spacing is linked to the Mach number. The accuracy higher than that of the lattice Boltzmann method is achieved by exploiting the asymptotic behavior of solution of ...

Both the artificial compressibility method and the lattice Boltzmann method yield the solutions of the incompressible Navier-Stokes equations in the limit of the vanishing Mach number. The inclusion of the bulk viscosity is one of the reasons for the success of the lattice Boltzmann method since it removes quickly the acoustic mode, which inevitably appears as the compressible effect, and contr...

The aim of this project was to develop a code for solving the 2D, incompressible Navier-Stokes equations in generalized curvilinear coordinates using artificial compressibility method. A code was developed using MATLAB where three-point, second order finite differencing was used to discretize the convective and viscous fluxes in conjunction with scalar, fourth-difference, third-order artificial...