This paper presents numerical simulations of incompressible fluid flow problems in the presence of a magnetic field. The equations governing the flow consist of the Navier-Stokes equations of fluid motion coupled with Maxwell ́s equations of electromagnetics. The study of fluid flows under the influence of a magnetic field and with no free electric charges or electric fields is known as magnetoh...

The Incompressible Flow & Iterative Solver Software (ifiss) package contains software which can be run with MATLAB or Octave to create a computational laboratory for the interactive numerical study of incompressible flow problems. It includes algorithms for discretization by mixed finite element methods and a posteriori error estimation of the computed solutions, together with state-of-the-art ...

In the present paper, we have studied MHD free convective two dimensional unsteady viscous incompressible flows through a porous effect bounded by an infinite vertical porous plate with constant suction. The permeability of the porous medium fluctuates in time about a constant mean, and the viscosity of fluid is assumed to vary as a linear function of temperature. The flow is permitted under th...

As V. I. Arnold observed in the 1960s, the Euler equations of incompressible fluid flow correspond formally to geodesic equations in a group of volume-preserving diffeomorphisms. Working in an Eulerian framework, we study incompressible flows of shapes as critical paths for action (kinetic energy) along transport paths constrained to be shape densities (characteristic functions). The formal geo...

The Incompressible Flow & Iterative Solver Software (ifiss) package contains software which can be run with MATLAB or Octave to create a computational laboratory for the interactive numerical study of incompressible flow problems. It includes algorithms for discretization by mixed finite element methods and a posteriori error estimation of the computed solutions, together with state-of-the-art ...

A. Preface and introductory remarks B. The equation of motion I. Kinematics and dynamics of fluid motion II. Energy and momentum transfer III. Transformation of coordinates IV. Variational principles C. Incompressible and barotropic perfect fluids I.Genera1 princip1es II.Irrotationa1 motion III.Rotationa1 motion D. Thermodynamics and the energy equation I. Thermodynamics of simple media II. The...

Two design methodologies based on Incomplete-Gradient adjoint approaches for ow problems governed by the incompressible Navier-Stokes (NS) equations are presented. The main features of the algorithms is that they avoid solving the adjoint equations, saving an important amount of CPU time. Furthermore, the methodologies are general in the sense that they do not depend on the geometry representat...

A new formulation, a gauge formulation of the incompressible Navier-Stokes equations in terms of an auxiliary field a and a gauge variable φ, u = a +∇φ, was proposed recently by E and Liu. This paper provides a theoretical analysis of their formulation and verifies the computational advantages. We discuss the implicit gauge method, which uses backward Euler or Crank-Nicolson in time discretizat...

In this paper we present a regularized Lagrangian finite point method (RLFPM) for the numerical simulation of incompressible viscous flows. A Lagrangian finite point scheme is applied to the projection method for the incompressible Navier-Stokes equations. The approximation of spatial derivatives is obtained by the weighted least squares method. The pressure Poisson equation with Neumann bounda...

abstract: since the field of micro electromechanical systems (mems) continues to grow, the flow in micro devices have become an area that receives a significant attention. the microscopic flows are usually characterized by the knudsen number (kn). when the characteristic size of the particle decreases down to a value comparable to the mean free path of the molecules, the continuum assumption fa...