Mesh-free simulation of liquid sloshing subjected to harmonic excitations

Wu, Nan Jing; Hsiao, Shih Chun; Wu, Han

doi:10.1016/j.enganabound.2015.12.001

Cited by 16 publications

(9 citation statements)

References 27 publications

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“…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%

“…Consequently, by using a second-order finite difference scheme in time domain, DFSBC is formulated as (Wu et al, 2016;Wu and Chang, 2011):…”

Section: Time Marchingmentioning

confidence: 99%

“…One of the ways to evaluate the stability and efficiency of the proposed numerical solution is to investigate the histograph of the condition number CN of the global stiffness matrix as reported in Figure 13. The CN of the global stiffness matrix can be evaluated as (Wu et al, 2016):…”

Section: Peridynamic Differential Operatormentioning

confidence: 99%

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

Bazazzadeh

Shojaei

Zaccariotto

et al. 2018

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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.

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Section: Peridynamic Differential Operator 45mentioning

confidence: 99%

“…Consequently, by using a second-order finite difference scheme in time domain, DFSBC is formulated as (Wu et al, 2016;Wu and Chang, 2011):…”

Section: Time Marchingmentioning

confidence: 99%

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

Bazazzadeh

Shojaei

Zaccariotto

et al. 2018

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“…Appropriate selection of these parameters leads to accurate numerical results. It was reported that parameters ε and W are insensitive in the ranges of W = 10 4 − 10 6 and ε = 15 − 30 [24]. In this study, we choose W = 10 5 and ε = 20.…”

Section: Methods For Solving the Governing Equationmentioning

confidence: 99%

“…Here we define the error residual of the local approximation around x = x j as (13) in which W jl is a weighting factor determined by a radial basis function (RBF) whose value depends on the distance between many ways to determine the value of the weighting factor. In this study, we follow literatures [19][20][21][22][23][24] and use the normalized Gaussian function…”

Section: Methods For Solving the Governing Equationmentioning

confidence: 99%

Simulation of Propagation and Run-Up of Three Dimensional Landslide-Induced Waves Using a Meshless Method

Hsiao

Shih

2018

Water

Self Cite

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Abstract:In this study, a meshless numerical model for the simulation of tsunamis generated by submerged landslides was developed. The phenomena were treated as free surface potential flows governed by the Laplace equation. By using a predictor-corrector time marching approach, the time dependent problem was transformed to a series of boundary value problems (BVP) while at each time step the BVP was solved by a meshless method which employed local polynomial collocation accompanying the weight-least-squares (WLS) approach. The model was validated by comparing the results with experimental data and other numerical results. Then, simulations were carried out in a widened numerical wave flume for the observation of edge waves along the shore.

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Analysis of Navier–Stokes equations by a BC/GE embedded local meshless method

Young

2023

Acta Mech

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Mesh-free simulation of liquid sloshing subjected to harmonic excitations

Cited by 16 publications

References 27 publications

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

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

Simulation of Propagation and Run-Up of Three Dimensional Landslide-Induced Waves Using a Meshless Method

Analysis of Navier–Stokes equations by a BC/GE embedded local meshless method

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