Next: Conservation of momentum (compressible Up: The Finite Volume Method Previous: Gamma Method Contents
The fields to be determined (velocity, pressure, temperature, turbulent kinetic energy....) will be obtained by solving the conservation laws (conservation of mass, of momentum...) in their transient form. Steady state solutions are obtained by continuing a transient calculation up to a point at which the solution does not significantly change any more. Stepping forward in time is done by fluid time increments, the increment number will be denoted by a superscript, e.g. v^n. The actual time increment for which the solution is to be found will be assumed to be n. If no increment superscript is used in a variable, n is assumed. In order to get the solution at the end of increment n, iterations 1,....,m have to be performed. To denote the solution at the end of iteration m a superscript in parenthesis (m) will be used. If no such superscript is used for a variable the convergent solution is meant. Consequently, at the beginning of a new increment n we have
| p^{n(0)} = p^{n-1}, | (584) |
which means that the convergent solution at the end of increment n-1 is taken as starting solution for increment n.