Projection method (fluid dynamics): Difference between revisions

Content deleted Content added
Added the year it was discovered. No reference but if you google you will find it.
Chorin's projection method: Added the divergence free continuity condition explaination
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</math>
 
Computing the right-hand side of the above equation requires a knowledge of the pressure, <math>\,p</math>, at <math>\,(n+1)</math> level. This is obtained by taking the [[divergence]] and requiring that <math>\nabla\cdot \mathbf{u}^{n+1} = 0</math>, which is the divergence-free(continuity) condition, thereby deriving the following Poisson equation for <math>\,p^{n+1}</math>,
:<math>
\nabla ^2 p^{n+1} = \frac {\rho} {\Delta t} \, \nabla\cdot \mathbf{u}^*