On frequency–amplitude dependences for surface and internal standing waves

Shingareva, Inna K.; Celaya, Carlos Lizárraga

doi:10.1016/j.cam.2006.01.002

Cited by 13 publications

(2 citation statements)

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…On the other hand, in a Lagrangian description, which recently received a considerable attention in CFD, computational grids move with the fluid domain and its boundaries. Lagrangian description can be traced in studies by Boroomand et al (2016), Idelsohn et al (2003); Radovitzky and Oritz (1998), Ramaswamy and Kawahara (1986); Ramaswamy and Kawahara (1987b); Shingareva and Celaya (2007), Wu et al (2016); and Zandi et al (2012). In intermediate description, which is known as ALE, computational grid movement is independent of fluid motion.…”

Section: Peridynamic Differential Operator 45mentioning

confidence: 99%

Application of the peridynamic differential operator to the solution of sloshing problems in tanks

Bazazzadeh

Shojaei

Zaccariotto

et al. 2018

View full text Add to dashboard Cite

Purpose The purpose of this paper is to apply the Peridynamic differential operator (PDDO) to incompressible inviscid fluid flow with moving boundaries. Based on the potential flow theory, a Lagrangian formulation is used to cope with non-linear free-surface waves of sloshing water in 2D and 3D rectangular and square tanks. Design/methodology/approach In fact, PDDO recasts the local differentiation operator through a nonlocal integration scheme. This makes the method capable of determining the derivatives of a field variable, more precisely than direct differentiation, when jump discontinuities or gradient singularities come into the picture. The issue of gradient singularity can be found in tanks containing vertical/horizontal baffles. Findings The application of PDDO helps to obtain the velocity field with a high accuracy at each time step that leads to a suitable geometry updating for the procedure. Domain/boundary nodes are updated by using a second-order finite difference time algorithm. The method is applied to the solution of different examples including tanks with baffles. The accuracy of the method is scrutinized by comparing the numerical results with analytical, numerical and experimental results available in the literature. Originality/value Based on the investigations, PDDO can be considered a reliable and suitable approach to cope with sloshing problems in tanks. The paper paves the way to apply the method for a wider range of problems such as compressible fluid flow.

show abstract

Section: Peridynamic Differential Operator 45mentioning

confidence: 99%

Application of the peridynamic differential operator to the solution of sloshing problems in tanks

Bazazzadeh

Shojaei

Zaccariotto

et al. 2018

View full text Add to dashboard Cite

show abstract

“…Eulerian asymptotic models have significant limitations and application of an asymptotic technique in Lagrangian description can improve model behaviour for steep waves. There is an increasing interest to Lagrangian asymptotic wave models with applications to various problems including standing and sloshing waves (Shingareva and Celaya, 2007;Chen et al, 2009;Yang-Yih and Hung-Chu, 2009;Abrashkin and Bodunova, 2012). The general approach to Lagrangian asymptotic models is similar to the one for Eulerian ones.…”

Section: Introductionmentioning

confidence: 99%

Lagrangian modelling of fluid sloshing in moving tanks

Buldakov

2014

Journal of Fluids and Structures

View full text Add to dashboard Cite

The paper considers the problem of sloshing of incompressible fluid in a moving 2-D rectangular tank under horizontal and vertical excitation. The problem is solved in Lagrangian variables by applying two approaches. First, a third-order asymptotic solution for resonant sloshing with a dominant mode is derived using a recursive technique. Then, fully nonlinear set of equations in the material coordinates is solved numerically by employing a finite difference method. Both methods are applied to a problem of high amplitude resonant Faraday waves and the obtained results are compared with experimental data known from the literature and a good agreement between the results of the two methods and the empirical data is demonstrated.

show abstract