Thursday 16 October 2008

Theoretical models

The largest model, the Navier-Stokes equations. It is a system of nonlinear partial differential equations 2nd Rules, which is a Newtonian fluid completely describe it. In particular, including turbulence and the hydrodynamic boundary layer included. A simpler model, the Euler equations, because of the friction neglected the boundary layer does not depict nor contain turbulence, which, for example, do not stall on this model can be simulated. That is much coarser grid suited to make sense to solve equations. For those parts of the flow, in which the boundary layer plays no significant role, the Euler equations very good. Finally, the potential equations are especially useful when quick rough predictions be made. With them is the entropy as a constant condition, which means that no strong shock waves may occur because of this the entropy is even unsteadily. Further simplification of constant density leads to the Laplace equation.

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