Lagrangian Modeling

Author(s):  
Asif Mahmood Mughal
Keyword(s):  
Mathematics ◽  
2021 ◽  
Vol 9 (3) ◽  
pp. 274
Author(s):  
Derek G. Spear ◽  
Anthony N. Palazotto ◽  
Ryan A. Kemnitz

A series of computational models and simulations were conducted for determining the dynamic responses of a solid metal projectile impacting a target under a prescribed high strain rate loading scenario in three-dimensional space. The focus of this study was placed on two different modeling techniques within finite element analysis available in the Abaqus software suite. The first analysis technique relied heavily on more traditional Lagrangian analysis methods utilizing a fixed mesh, while still taking advantage of the finite difference integration present under the explicit analysis approach. A symmetry reduced model using the Lagrangian coordinate system was also developed for comparison in physical and computational performance. The second analysis technique relied on a mixed model that still made use of some Lagrangian modeling, but included smoothed particle hydrodynamics techniques as well, which are mesh free. The inclusion of the smoothed particle hydrodynamics was intended to address some of the known issues in Lagrangian analysis under high displacement and deformation. A comparison of the models was first performed against experimental results as a validation of the models, then the models were compared against each other based on closeness to experimentation and computational performance.


2021 ◽  
Vol 33 (3) ◽  
pp. 031905
Author(s):  
V. D'Alessandro ◽  
M. Falone ◽  
L. Giammichele ◽  
R. Ricci

2021 ◽  
Vol 96 ◽  
pp. 101258
Author(s):  
A.M. Fedorov ◽  
M.V. Budyansky ◽  
T.V. Belonenko ◽  
S.V. Prants ◽  
M.Yu. Uleysky ◽  
...  

2002 ◽  
Vol 124 (3) ◽  
pp. 481-488 ◽  
Author(s):  
M. Burger ◽  
G. Klose ◽  
G. Rottenkolber ◽  
R. Schmehl ◽  
D. Giebert ◽  
...  

Polydisperse sprays in complex three-dimensional flow systems are important in many technical applications. Numerical descriptions of sprays are used to achieve a fast and accurate prediction of complex two-phase flows. The Eulerian and Lagrangian methods are two essentially different approaches for the modeling of disperse two-phase flows. Both methods have been implemented into the same computational fluid dynamics package which is based on a three-dimensional body-fitted finite volume method. Considering sprays represented by a small number of droplet starting conditions, the Eulerian method is clearly superior in terms of computational efficiency. However, with respect to complex polydisperse sprays, the Lagrangian technique gives a higher accuracy. In addition, Lagrangian modeling of secondary effects such as spray-wall interaction enhances the physical description of the two-phase flow. Therefore, in the present approach the Eulerian and the Lagrangian methods have been combined in a hybrid method. The Eulerian method is used to determine a preliminary solution of the two-phase flow field. Subsequently, the Lagrangian method is employed to improve the accuracy of the first solution using detailed sets of initial conditions. Consequently, this combined approach improves the overall convergence behavior of the simulation. In the final section, the advantages of each method are discussed when predicting an evaporating spray in an intake manifold of an internal combustion engine.


Author(s):  
П.А. ФАЙМАН ◽  
М.В. БУДЯНСКИЙ ◽  
М.Ю. УЛЕЙСКИЙ ◽  
С.В. ПРАНЦ ◽  
В.Л. ВЫСОЦКИЙ ◽  
...  

Представлены результаты лагранжевого моделирования распространения радиоактивного загрязнения в Уссурийском заливе на различных горизонтах по глубине на основе численной региональной модели циркуляции ROMS с использованием эмпирических данных выпадения радиоактивных осадков из атмосферы на поверхность акватории в день аварии на атомной подводной лодке в бухте Чажма 10 августа 1985 г. Показано, что радиоактивное пятно могло оставаться в Уссурийском заливе в течение первых четырех суток после аварии. Установлено, что эволюция и деформация начального пятна загрязнения на разных горизонтах обусловлены влиянием вихрей разных полярностей и размеров (мезомасштабный циклон в центре залива, субмезомасштабный антициклон на севере и мезомасштабный антициклон на юге) и лагранжевых когерентных структур, связанных с гиперболическими точками в заливе. The results of Lagrangian modeling of the transport of radioactive pollution in the Ussuri Gulf at various depths based on a regional ROMS numerical model of circulation using the empirical data on the radioactive fallout from the atmosphere at the sea surface on the day of the accident at a nuclear submarine in the Chazhma Bay in August 10, 1985. It was shown that the radioactive particles remain in the Ussuri Gulf for the first 4 days after the accident. It has been shown that the evolution and deformation of the initial pollution patch on various horizons was influenced by vortices of different polarity and size in the Ussuri Gulf (a mesoscale cyclone in the center of the Gulf, a sub-mesoscale anticyclone in the north and a mesoscale anticyclone in the south) and by Lagrangian coherent structures connected with hyperbolic points in the Gulf.


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