This Note outlines a new moment method to solve the kinetic spray equation, which is the basic mathematical model used to predict the behaviour of polydisperse sprays. The method was successfully applied to the test-cases of spray-wall impingement and crossing of two spray jets that were affected by the Stokes drag force. Lagrangian computations of the same test-cases were used as reference solutions.
Dans cette Note, nous proposons une nouvelle méthode de moments pour la modélisation des sprays, permettant de traiter des situations de fort déséquilibre, dans lesquelles la fonction de distribution caractérisant le brouillard est localement multimodale vis à vis de la taille ou de la vitesse des gouttes. Cette méthode a été appliquée avec succès aux cas de l'éclaboussement d'un spray sur une paroi et du croisement de deux jets de granulométries différentes.
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@article{CRMATH_2009__347_11-12_691_0, author = {Schneider, Lukas and Le Lostec, Nechtan and Villedieu, Philippe and Sadiki, Amsini}, title = {A moment method for polydisperse sprays}, journal = {Comptes Rendus. Math\'ematique}, pages = {691--696}, publisher = {Elsevier}, volume = {347}, number = {11-12}, year = {2009}, doi = {10.1016/j.crma.2009.03.023}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.crma.2009.03.023/} }
TY - JOUR AU - Schneider, Lukas AU - Le Lostec, Nechtan AU - Villedieu, Philippe AU - Sadiki, Amsini TI - A moment method for polydisperse sprays JO - Comptes Rendus. Mathématique PY - 2009 SP - 691 EP - 696 VL - 347 IS - 11-12 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2009.03.023/ DO - 10.1016/j.crma.2009.03.023 LA - en ID - CRMATH_2009__347_11-12_691_0 ER -
%0 Journal Article %A Schneider, Lukas %A Le Lostec, Nechtan %A Villedieu, Philippe %A Sadiki, Amsini %T A moment method for polydisperse sprays %J Comptes Rendus. Mathématique %D 2009 %P 691-696 %V 347 %N 11-12 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2009.03.023/ %R 10.1016/j.crma.2009.03.023 %G en %F CRMATH_2009__347_11-12_691_0
Schneider, Lukas; Le Lostec, Nechtan; Villedieu, Philippe; Sadiki, Amsini. A moment method for polydisperse sprays. Comptes Rendus. Mathématique, Volume 347 (2009) no. 11-12, pp. 691-696. doi : 10.1016/j.crma.2009.03.023. http://www.numdam.org/articles/10.1016/j.crma.2009.03.023/
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