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Source terms in Eulerian–Lagrangian contaminant transport simulation
Author(s) -
Croucher Adrian E.,
O'Sullivan Michael J.
Publication year - 2004
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1214
Subject(s) - eulerian path , lagrangian , range (aeronautics) , euler–lagrange equation , mathematics , finite element method , mechanics , computer science , mathematical optimization , environmental science , marine engineering , petroleum engineering , engineering , physics , structural engineering , aerospace engineering
Standard Eulerian treatment of source terms in Eulerian–Lagrangian numerical simulations results in poor performance at higher Courant numbers. To regain the customary high accuracy of Eulerian–Lagrangian methods under these conditions, a Lagrangian treatment of source terms is needed. It is also important to include the effects of fluid sources as well as contaminant sources. A new Lagrangian source formulation is presented, which has been implemented in a finite element simulator for contaminant transport in rivers and estuaries. Test problems demonstrate the high accuracy of the technique under a range of conditions, and its applicability to general multi‐dimensional problems and unstructured grids. Copyright © 2004 John Wiley & Sons, Ltd.