| Popis: |
Publisher Summary This chapter presents some issues in incompressible fluid dynamics, both in the continuum and in numerical simulation. One of the principle themes considered is the common, simple, and convenient mathematical model of a fluid that states that the mass conservation law is one that requires the fluid to be incompressible everywhere and for all time. It is found that the process of differentiating the constraint equation can have far-reaching consequences, especially while discussing the semi-discrete form of the NS equations through differential-algebraic equations. The PPE provides the hope of separating the velocity calculation from the pressure calculation. Boundary situations other than impenetrable, no-slip walls, or specified inflow velocities occur quite frequently, perhaps most often in flow-thru domains in which part of the boundary sees fluid leaving the domain. It is found that the Kinney model invokes a discrete time approximation and introduces vortex sheets to reduce the spurious slip velocity to zero. |
