The challenge of mass conservation in the solution of free‐surface flows with the fractional‐step method: Problems and solutions

Published in ''Int. J. Numer. Meth. Biomed. Engng'' Vol. 26 (10), pp. 1313-1330, 2010<br />
doi: 10.1002/cnm.1216
== Abstract ==

The purpose of this paper is to put in evidence that the fractional‐step method (FSM) used to solve the incompressible transient Euler and Navier–Stokes equations for free‐surface flows has a problem inherent to the method that may produce unacceptable variations of the domain volume. A simple modification of the free‐surface boundary term is introduced in order to reduce considerably the volume loss and preserve the computational advantages of the FSM.

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