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Volume conservation issues in incompressible smoothed particle hydrodynamics

Nair, Prapanch and Tomar, Gaurav (2015) Volume conservation issues in incompressible smoothed particle hydrodynamics. In: JOURNAL OF COMPUTATIONAL PHYSICS, 297 . pp. 689-699.

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Official URL: http://dx.doi.org/10.1016/j.jcp.2015.05.042


A divergence-free velocity field is usually sought in numerical simulations of incompressible fluids. We show that the particle methods that compute a divergence-free velocity field to achieve incompressibility suffer from a volume conservation issue when a finite time-step position update scheme is used. Further, we propose a deformation gradient based approach to arrive at a velocity field that reduces the volume conservation issues in free surface flows and maintains density uniformity in internal flows while retaining the simplicity of first order time updates. (C) 2015 Elsevier Inc. All rights reserved.

Item Type: Journal Article
Additional Information: Copy right for this article belongs to the ACADEMIC PRESS INC ELSEVIER SCIENCE, 525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA
Keywords: ISPH; Isochoric deformation; Divergence-free velocity; Incompressibility
Department/Centre: Division of Mechanical Sciences > Mechanical Engineering
Depositing User: Id for Latest eprints
Date Deposited: 04 Aug 2015 09:16
Last Modified: 04 Aug 2015 09:16
URI: http://eprints.iisc.ac.in/id/eprint/52017

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