Numerical Calculation of TimeDependent Viscous Incompressible Flow of Fluid with Free Surface
Abstract
A new technique is described for the numerical investigation of the timedependent flow of an incompressible fluid, the boundary of which is partially confined and partially free. The full NavierStokes equations are written in finitedifference form, and the solution is accomplished by finitetimestep advancement. The primary dependent variables are the pressure and the velocity components. Also used is a set of marker particles which move with the fluid. The technique is called the marker and cell method. Some examples of the application of this method are presented. All nonlinear effects are completely included, and the transient aspects can be computed for as much elapsed time as desired.
 Publication:

Physics of Fluids
 Pub Date:
 December 1965
 DOI:
 10.1063/1.1761178
 Bibcode:
 1965PhFl....8.2182H