Abstract
A representation of continuum space by a second order grid system is proposed. A new finite difference scheme for the two-dimensional incompressible advection-diffusion equation is derived for the model. The difference scheme is flux conserving and contains no spatial truncation error with respect to the model except through approximation of the local velocity. It contains no false diffusion and preserves the sign of positive definite quantities. It is simple to program and is subject only to the usual diffusion and Courant-Friedrichs-Lewy stability conditions. It is stable at all grid mesh sizes or cell Reynolds numbers. A sample one-dimensional problem is presented and comparison made with the standard central difference and “upwind” difference schemes.
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
