A Caltech Library Service

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. doi:10.1002/(SICI)1097-0207(19981030)43:4<607::AID-NME399>3.0.CO;2-N.

Full text is not posted in this repository. Consult Related URLs below.

Use this Persistent URL to link to this item:


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<607::AID-NME399>3.0.CO;2-NDOIArticle;2-N/abstractPublisherArticle
Ortiz, M.0000-0001-5877-4824
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.
Funding AgencyGrant Number
Office of Naval Research (ONR)N0014-96-1-0068
Subject Keywords:Lagrangian formulation; fluid flows; finite elements; mesh adaption; wave breaking
Issue or Number:4
Record Number:CaltechAUTHORS:20171213-095800584
Persistent URL:
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
Deposited By: Lydia Suarez
Deposited On:13 Dec 2017 22:18
Last Modified:15 Nov 2021 20:14

Repository Staff Only: item control page