Your Cart

Your cart is empty

Home  >  Volume 52

7. SECOND-ORDER NON-OSCILLATORY SCHEME FOR SIMULATING A PRESSURE-DRIVEN FLOW by Chinedu Nwaigwe and Charles Orji Volume 52 (July & Sept., 2019 Issue)
Sale price: $0.00
Quantity:

SECOND-ORDER NON-OSCILLATORY SCHEME FOR SIMULATING A PRESSURE-DRIVEN FLOW

Chinedu Nwaigwe and Charles Orji

Department of Mathematics, Rivers State University, Port Harcourt, Nigeria

Department of Marine Engineering, Rivers State University, Port

Harcourt, Nigeria

Abstract

We propose a second-order finite difference scheme to study the flow of a viscous fluid in a stationary horizontal channel with porous walls. Following conservation principles, we obtain the governing equation in the form of a convection-diffusion problem. Naive discretization leads to either oscillatory solutions or low order accurate schemes. So second-order and non-oscillatory scheme is desirable. We use the idea of information propagation as indicated by the convective term. This informs the use of a backward discretization for first spatial derivative leading to a non-oscillatory second-order accurate scheme in space. The error estimates are obtained theoretically, and the method of manufactured solutions is adopted to verify the convergence of the method. The numerical results verify that the method is truly second-order in space, convergent and free of any numerical oscillations. We probe the effects of the model parameters on the flow and found that increasing the suction parameter decreases the magnitude of x-velocity component while increasing the pressure gradient increases the magnitude of x-velocity component.

Close
Loading...