Mechanical Engineering Commons^™

A Consistent Algorithm For Implementing The Space Conservation Law, Venkata Pavan Pillalamarri Narasimha Rao

Masters Theses

Fluid flows occurring in moving and/or deforming environments are influenced by the transient nature of their containment. In Computational Fluid Dynamics (CFD), simulating such flow fields requires effort to maintain the geometric integrity of the transient flow domain. Convective fluxes in such domains are evaluated with respect to the motion of the boundaries of the control volume. These simulations demand conservation of space in addition to the conservation of mass, momentum and energy as the solution continues in time.

The Space Conservation Law in its continuous form can be inferred by using the rules of fundamental calculus. However, implementing it …