Dual Scattering Channel schemes generalise Johns’ TLM algorithm and replace the latter in situations where the transmission line picture of wave propagation fails. This is notoriously the case in applications to fluid dynamics, for instance. In this paper, a DSC numerical solution of the Oberbeck-Boussinesq equations is presented, which approximate the Navier-Stokes equations for viscous quasi ...

We study the shape differentiability of a cost function for the steady flow of an incompressible viscous fluid of power-law type. The fluid is confined to a bounded planar domain surrounding an obstacle. For smooth perturbations of the shape of the obstacle we express the shape gradient of the cost function which can be subsequently used to improve the initial design.

This paper presents the Dual Scattering Channel (DSC) numerical solution of the Navier-Stokes equations for viscous quasi-incompressible flow in the Oberbeck-Boussinesq approximation. The implementation in hexahedral non-orthogonal mesh is outlined. A numerical example illustrates the approach. MSC-classes: 65C20, 65M06, 76D05 Westerham on October 05, 2005

The steady flow of an incompressible viscous non-Newtonian fluid above an infinite rotating disk in a porous medium is studied with heat transfer. Numerical solutions of the nonlinear differential equations which govern the hydrodynamics and energy transfer are obtained. The effect of the porosity of the medium and the characteristics of the non-Newtonian fluid on the velocity and temperature d...

In this paper, the transient magnetohydrodynamic (MHD) flow of a dusty incompressible electrically conducting non-Newtonian Bingham fluid through a circular pipe is studied taking the Hall effect into consideration. A constant pressure gradient in the axial direction and an uniform magnetic field directed perpendicular to the flow direction are applied. The particle-phase is assumed to behave a...

This work developes an approach for numerical simulation of fluid flow through a domain with a complex geometry. We consider a finite element discretization of Stokes-Brinkman equation for modelling the incompressible viscous flow inside a fluid-solid systems combined with Lagrange multiplier/fictitious domain and special spherical bubble functions. Well-posedness of the new method, á priori es...

We study the MHD boundary layer flow of an incompressible viscous fluid over a continuously stretching sheet using more suggestive schemes. The fast convergent Dirichlet series solution of governing nonlinear differential equation of MHD flow over nonlinear stretching sheet is obtained. This method has advantages over pure numerical methods in obtaining the derived quantities accurately for var...

The paper studies a method for numerical simulation of free surface flows of viscous incompressible fluids. The approach is based on the level set method for capturing free surface evolution and features compact finite difference approximations of fluid and level set equations on locally refined and dynamically adapted octree cartesian grids. We consider in detail an extension of staggered grid...

We present a stable and convergent method for the computation of flows of DNA-laden fluids in microchannels with complex geometry. The numerical strategy combines a ball–rod model representation for polymers coupled tightly with a projection method for incompressible viscous flow. We use Cartesian grid embedded boundary methods to discretize the fluid equations in the presence of complex domain...

In this article we investigate numerically a Hopf bifurcation phenomenon for a viscous incompressible flow down an inclined plane. This problem has been discussed by Nishida et al. who proved the existence of periodic solutions bifurcating from the steady flow. Using a computational methodology based on finite elements for the space discretization and on operator splitting for the time discreti...