[en] Explicit numerical schemes are used to integrate in time finite element discretization methods. Unfortunately, these numerical approaches can induce high-frequency numerical oscillations into the solution. To eliminate or to reduce these oscillations, numerical dissipation can be introduced.
The paper deals with the comparison of three different explicit schemes: the central difference scheme which is a nondissipative method, the Hulbert Chung dissipative explicit scheme and the Tchamwa-Wielgosz dissipative scheme. Particular attention is paid to the study of these algorithms’ behavior in problems involving high-velocity impacts like Taylor anvil impact and bullet-target interactions. It has been shown that Tchamwa-Wielgosz scheme is efficient in filtering the high-frequency oscillations and is more dissipative than Hulbert Chung explicit scheme. Although its convergence rate is only first order, the loss of accuracy remains limited to acceptable values.
Disciplines :
Mechanical engineering
Author, co-author :
Nsiampa, Nestor; Royal Military Academy > Abal
Ponthot, Jean-Philippe ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS-Mécanique numérique non linéaire
Noels, Ludovic ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS - Milieux continus et thermomécanique
Language :
English
Title :
Comparative study of numerical explicit schemes for impact problems
Publication date :
2008
Journal title :
International Journal of Impact Engineering
ISSN :
0734-743X
Publisher :
Pergamon Press - An Imprint of Elsevier Science, Oxford, United Kingdom
Special issue title :
Hypervelocity Impact Proceedings of the 2007 Symposium - HVIS 2007
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