We present and analyze extensions of the streamline diffusion finite element method to the time-dependent two-dimensional Navier-Stokes equations for an incompressible fluid in the case of high Reynolds numbers. The limit case with zero viscosity, the Euler equations, is also considered. Introduction. The Streamline Diffusion method is a finite element method for convection-dominated convection...

double-diffusive mixed convection in a lid-driven square enclosure filled with al2o3-water is numerically investigated. two-dimensional nonlinear governing equations are discretized using the control volume method and hybrid scheme. the equations are solved using simpler algorithm. the results are displayed in the form of streamlines, isotherms, and iso-concentrations when the richardson number...

In this paper we consider various blends of implicit and explicit time integration schemes based on the well-known BDF2 method, applied to convection-diffusion problems with dominating convection. A fully implicit treatment of convection terms is often not very efficient. We shall deal with schemes that are implicit in the convection terms only locally in space, without introducing the internal...

Abstract We consider numerical boundary conditions for high order finite difference schemes for solving convection-diffusion equations on arbitrary geometry. The two main difficulties for numerical boundary conditions in such situations are: (1) the wide stencil of the high order finite difference operator requires special treatment for a few ghost points near the boundary; (2) the physical bou...

In the practical problems such as nuclear waste pollution and seawater intrusion etc., many are reduced to solving convection-diffusion equation, so research of equation is great value. this work, a spectral method presented for one two dimensional with source term. The finite difference also used solve convection diffusion equation. numerical experiments show that more efficient than other met...

In this paper we present a general framework for designing an analyzing high order in time fractional step schemes for integrating evolutionary convection-diffusion-reaction multidimensional problems. These methods are deduced, for example, by combining standard semidiscretization techniques (upwind) and a special kind of Runge-Kutta type schemes called Fractionary Steps Runge-Kutta methods. We...

Some least-squares mixed finite element methods for convectiondiffusion problems, steady or nonstationary, are formulated, and convergence of these schemes is analyzed. The main results are that a new optimal a priori L2 error estimate of a least-squares mixed finite element method for a steady convection-diffusion problem is developed and that four fully-discrete leastsquares mixed finite elem...