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Lagrangian finite element analysis of Newtonian fluid flows

Radovitzky, R. and Ortiz, M. (1998) Lagrangian finite element analysis of Newtonian fluid flows. International Journal for Numerical Methods in Engineering, 43 (4). pp. 607-619. ISSN 0029-5981. http://resolver.caltech.edu/CaltechAUTHORS:20171213-095800584

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Abstract

A fully Lagrangian finite element method for the analysis of Newtonian flows is developed. The approach furnishes, in effect, a Lagrangian implementation of the compressible Navier–Stokes equations. As the flow proceeds, the mesh is maintained undistorted through continuous and adaptive remeshing of the fluid mass. The principal advantage of the present approach lies in the treatment of boundary conditions at material surfaces such as free boundaries, fluid/fluid or fluid/solid interfaces. In contrast to Eulerian approaches, boundary conditions are enforced at material surfaces ab initio and therefore require no special attention. Consistent tangents are obtained for Lagrangian implicit analysis of a Newtonian fluid flow which may exhibit compressibility effects. The accuracy of the approach is assessed by comparison of the solution for a sloshing problem with existing numerical results and its versatility demonstrated through a simulation of wave breaking. The finite element mesh is maintained undistorted throughout the computation by recourse to frequent and adaptive remeshing.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://dx.doi.org/10.1002/(SICI)1097-0207(19981030)43:4<607::AID-NME399>3.0.CO;2-NDOIArticle
http://onlinelibrary.wiley.com/doi/10.1002/(SICI)1097-0207(19981030)43:4%3C607::AID-NME399%3E3.0.CO;2-N/abstractPublisherArticle
Additional Information:© 1998 John Wiley & Sons, Ltd. Received 1 March 1997. Revised 6 February 1998. The support of the Office of Naval Research under grant N00014-96-1-0068 is gratefully acknowledged.
Group:GALCIT
Funders:
Funding AgencyGrant Number
Office of Naval Research (ONR)N0014-96-1-0068
Subject Keywords:Lagrangian formulation; fluid flows; finite elements; mesh adaption; wave breaking
Record Number:CaltechAUTHORS:20171213-095800584
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20171213-095800584
Official Citation:Radovitzky, R. and Ortiz, M. (1998), Lagrangian finite element analysis of Newtonian fluid flows. Int. J. Numer. Meth. Engng., 43: 607–619. doi:10.1002/(SICI)1097-0207(19981030)43:4<607::AID-NME399>3.0.CO;2-N
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:83871
Collection:CaltechAUTHORS
Deposited By: Lydia Suarez
Deposited On:13 Dec 2017 22:18
Last Modified:13 Dec 2017 22:18

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