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

Idelsohn Sergio R. | Zendy; Oñate Eugenio | Zendy

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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.

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