Zheng, X., Ma, Q. and Shao, S. (2018) Study on SPH Viscosity Term Formulations. Applied Sciences, 8 (2). 249.
Abstract
Featured Application: The proposed study contributes to the mesh-free numerical modeling field through the examinations of several viscosity term formulations. By simulating benchmark viscosity-dominated flows in engineering practice, the optimal viscosity scheme has been found to work with the Smoothed Particle Hydrodynamics (SPH) method.
Abstract: For viscosity-dominated flows, the viscous effect plays a much more important role. Since the viscosity term in SPH-governing (Smoothed Particle Hydrodynamics) equations involves the discretization of a second-order derivative, its treatment could be much more challenging than that of a first-order derivative, such as the pressure gradient. The present paper summarizes a series of improved methods for modeling the second-order viscosity force term. By using a benchmark patch test, the numerical accuracy and efficiency of different approaches are evaluated under both uniform and non-uniform particle configurations. Then these viscosity force models are used to compute a documented lid-driven cavity flow and its interaction with a cylinder, from which the most recommended viscosity term formulation has been identified.
Metadata
Item Type: | Article |
---|---|
Authors/Creators: |
|
Copyright, Publisher and Additional Information: | This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0). |
Keywords: | lid-driven flow; second-order derivative; SPH; viscosity domination; viscosity term |
Dates: |
|
Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Civil and Structural Engineering (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 12 Feb 2018 10:49 |
Last Modified: | 12 Feb 2018 10:49 |
Published Version: | https://doi.org/10.3390/app8020249 |
Status: | Published |
Publisher: | Balcan Society of Geometers |
Refereed: | Yes |
Identification Number: | 10.3390/app8020249 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:127302 |