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The challenge of mass conservation in the solution of free‐surface flows with the fractional‐step method: Problems and solutions
Author(s) -
Idelsohn Sergio R.,
Oñate Eugenio
Publication year - 2010
Publication title -
international journal for numerical methods in biomedical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.741
H-Index - 63
eISSN - 2040-7947
pISSN - 2040-7939
DOI - 10.1002/cnm.1216
Subject(s) - free surface , transient (computer programming) , surface (topology) , conservation of mass , euler's formula , compressibility , boundary value problem , simple (philosophy) , euler equations , mathematics , domain (mathematical analysis) , volume (thermodynamics) , finite volume method , boundary (topology) , mathematical optimization , mechanics , mathematical analysis , computer science , geometry , physics , thermodynamics , operating system , philosophy , epistemology
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. Copyright © 2008 John Wiley & Sons, Ltd.