Numerical simulation of interactions between free surface and rigid body using a robust SPH method

Sun, Peng-Nan; Ming, Fu-Ren; Zhang, A‐Man

doi:10.1016/j.oceaneng.2015.01.019

Cited by 143 publications

(36 citation statements)

References 54 publications

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“…In the fluid-solid coupling simulation of granular materials and fluid media, SPH and DEM have highly consistent data structure and operation logic in the implementation of computer program, which can be employed to simulate the fluid-solid coupling problem effectively and suitable for parallel computational environment [18][19][20]. Robinson and the eccentric block [22], while the solid boundary is constructed through the boundary particles. The simulation results are in agreement with the experimental data.…”

Section: Mathematical Problems In Engineeringmentioning

confidence: 99%

Coupled DEM‐SPH Method for Interaction between Dilated Polyhedral Particles and Fluid

Chen

Liu

2019

Mathematical Problems in Engineering

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The discrete element method (DEM) and smoothed particle hydrodynamics (SPH) can be adopted to simulate the granular materials and fluid media respectively. The DEM-SPH coupling algorithm can be developed for the dynamic interaction between the two media. When the particle material is simulated by polyhedral element, a fluid-solid coupling interface would lead to the complex geometry between the granular particle and the fluid. The boundary particle method is traditionally used for the fluid-solid interface but with low computational efficiency. In this paper, the dilated polyhedral element is constructed based on Minkowski sum theory, while the contact force between the elements is calculated by Hertzian contact model. Accordingly the dilated polyhedra based DEM is established. The weakly compressible SPH is adopted to simulate the fluid medium, while the interaction on the geometrically complex fluid-solid interface is evaluated with the repulsive force model which can be determined by the contact detection between SPH particles and solid particles in geometry. This method avoids the storage and calculation of a large number of boundary particles, which can be potentially applied for the complex fluid-solid boundary. In order to improve the computational efficiency, a GPU-based parallel algorithm is employed to achieve high performance computation of SPH. The acceleration of the parallel algorithm is evaluated by the cases of dam break. The numerical simulation of the impact of dam break on cubes is implemented. The simulation results are verified with the corresponding experimental and simulation results. Therefore, the rationality and accuracy of the DEM-SPH coupling method for numerical simulation of the interaction between granular materials and fluid media are illustrated. This method is then adopted for the impact of falling rocks on underwater pipeline. The force of water and rocks on the pipeline is analyzed. This method can be further applied for real engineering problems.

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Section: Mathematical Problems In Engineeringmentioning

confidence: 99%

Coupled DEM‐SPH Method for Interaction between Dilated Polyhedral Particles and Fluid

Chen

Liu

2019

Mathematical Problems in Engineering

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“…Since the FDPM simulation is still based on the local support domain, most boundary conditions in the existing Lagrangian particle-based methods, such as the SPH and MPS methods, can be used directly or implemented with minor changes. The particle representation of no-slip, free-slip and superhydrophobic surfaces [41][42][43] can be found in [44][45][46].…”

Section: Boundary Conditionsmentioning

confidence: 99%

A Particle Method Based on a Generalized Finite Difference Scheme to Solve Weakly Compressible Viscous Flow Problems

Zhang

Xiong

2019

Symmetry

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The Lagrangian meshfree particle-based method has advantages in solving fluid dynamics problems with complex or time-evolving boundaries for a single phase or multiple phases. A pure Lagrangian meshfree particle method based on a generalized finite difference (GFD) scheme is proposed to simulate time-dependent weakly compressible viscous flow. The flow is described with Lagrangian particles, and the partial differential terms in the Navier-Stokes equations are represented as the solution of a symmetric system of linear equations through a GFD scheme. In solving the particle-based symmetric equations, the numerical method only needs the kernel function itself instead of using its gradient, i.e., the approach is a kernel gradient free (KGF) method, which avoids using artificial parameters in solving for the viscous term and reduces the limitations of using the kernel function. Moreover, the order of Taylor series expansion can be easily improved in the meshless algorithm. In this paper, the particle method is validated with several test cases, and the convergence, accuracy, and different kernel functions are evaluated.2 of 21 rising bubbles [3] and coalescing [4]. The ability of this method to model non-Newtonian fluid and large scale diffuse fluids has been demonstrated in some recent works [5,6] by introducing different symmetric models. Moreover, because the computations are based on the support domain, which is much smaller than the complete computational region, the ill conditioned system problem is rarely encountered. Among all Lagrangian meshfree methods, the smoothed particle hydrodynamics (SPH) method was one of the earliest methods developed and has been widely applied in different fields. The SPH method was first pioneered independently by Lucy [7] and Gingold and Monaghan [8] to solve astrophysical problems in 1977. Details of the SPH method as a computational fluid dynamics method can be found in recent reviews [9][10][11][12] and Liu and Liu's book [13]. Some successful applications of this method include coastal engineering, nuclear engineering, ocean engineering, and bioengineering. However, the accuracy of the conventional SPH method is unsatisfactory, and it is not easy to achieve an accurate high-order SPH approach.As a meshfree Lagrangian method, the particle distribution generally tends to be irregular in the computations, which leads to inconsistency and low accuracy [14,15]. For that reason, in some cases, only the first-order term of the fluid dynamics equations, the Navier-Stokes equations, is solved, and the viscous term, which contains the second-order differential, is obtained through the artificial viscosity with artificial parameters in the SPH method. This issue can also occur in the incompressible SPH (ISPH) method [16]. To improve the consistency and accuracy of these methods, different modifications have been developed. After using Taylor series expansion to normalize the kernel function, the corrective smoothed particle method (CSPM) [17,18] and the modified smoothed particle meth...

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“…Recently, Smoothed Particle Hydrodynamics (SPH) has become one of the most popular methods to analyze the free surface flow problems including the urban flooding (Ghazali and Kamsin 2008; Dalrymple and Herault 2009;Barreiro et al 2013;Wu et al 2013). SPH has been employed to investigate wave-structure interactions, wave impact and green water effect (Monaghan et al 2003;Gesteira and Dalrymple 2004;Vandamme et al 2011;Shao 2009;Vandamme et al 2012;St-Germain et al 2013;Liu et al 2014;Cunningham et al 2014;Lin et al 2015;Altomare et al 2015;Aureli et al 2015;Sun et al 2015). Although slamming force evaluation is a critical consideration for structure design and safety, to the best of our knowledge, hardly any comprehensive studies has be conducted to evaluate the impact force on 2-D array of buildings using SPH.…”

Section: Introductionmentioning

confidence: 99%

“…In contrast to previous studies (e.g. Altomare et al 2015;Sun et al 2015), we examine the net forces on the buildings due to wave impact. Also, we consider the effect of the building layout on the flooding behavior and characteristics.…”

Section: Introductionmentioning

confidence: 99%

Modelling Urban Coastal Flooding Through 2-D Array of Buildings Using Smoothed Particle Hydrodynamics

Alahmed

Zou

2017

Int. Conf. Coastal. Eng.

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A Smoothed Particle Hydrodynamics (SPH) method is used to investigate the flood characteristics occurring in an idealized city with two different building layouts: aligned layout and 22.5o skewed layout with respect to the direction of the incoming flow. The model results show that the water elevation is higher for the skewed city layout than that for the aligned city layout. The force due to the flood impact on the majority of buildings tend to be higher for the former than that for the latter. The complex flow features including a hydraulic jump during the flooding event are well captured by the SPH model.

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Numerical simulation of interactions between free surface and rigid body using a robust SPH method

Cited by 143 publications

References 54 publications

Coupled DEM‐SPH Method for Interaction between Dilated Polyhedral Particles and Fluid

Coupled DEM‐SPH Method for Interaction between Dilated Polyhedral Particles and Fluid

A Particle Method Based on a Generalized Finite Difference Scheme to Solve Weakly Compressible Viscous Flow Problems

Modelling Urban Coastal Flooding Through 2-D Array of Buildings Using Smoothed Particle Hydrodynamics

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