Published in Int. J. Numer. Meth. Biomed. Engng Vol. 26 (10), pp. 1313-1330, 2010
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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