A mesh-free particle model for simulation of mobile-bed dam break

Shakibaeinia, Ahmad; Jin, Yee‐Chung

doi:10.1016/j.advwatres.2011.04.011

Cited by 112 publications

(48 citation statements)

References 30 publications

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“…The Laplacian for the pressure and viscosity term is formulated as the hybrid of a standard SPH first derivative coupled with a finite difference approximation for the first derivative [4]. Furthermore, it has been found that the resulting second derivative of the kernel is very sensitive to particle disorder and will easily lead to pressure instability and decoupling in the computation due to the co-location of the velocity and pressure [8].…”

Section: Isph Formulationsmentioning

confidence: 99%

“…These problems are difficult to simulate due to the existence of the arbitrarily moving surface boundary conditions and also because of the complex governing Navier Stokes Equations (NSEs) [1]. Also, the dam break problem has been the subject of many analytical, experimental, and numerical studies for hydraulics scientists and engineers [2,3,4].The marker and cell [5] and Volume Of Fluid (VOF), [6] methods are the most common methods for simulating such flows, in which the Navier-Stokes equations are solved on a fixed Eulerian grid [7]. In MAC method marker particles were used to define the free surface while in VOF method the governing equations are solved for the volume fraction of the fluid.…”

Section: Introductionmentioning

confidence: 99%

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Numerical modeling of flood waves in a bumpy channel with the different boundary conditions

et al. 2017

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In this paper, the Incompressible Smoothed Particle Hydrodynamics (ISPH) method is presented to simulate flood waves in uneven beds. The SPH method is a mesh free particle modeling approach that is capable of tracking the large deformation of free surfaces in an easy and accurate manner. Wave breaking is one of the phenomena that its free surface is complicated. Therefore, ISPH method is robust tool for the modeling of this kind of free surface. The basic equations are the incompressible mass conservation and Navier-Stokes equations that are solved using a two-step fractional method. In the first step, these equations are solved to compute velocity components by omitting the pressure term and in the absence of incompressible condition. In the second step, the continuity constraint is satisfied and the Poisson equation is solved to calculate pressure terms. In the present model, a new technique is applied to allocate density of the particles for the calculations. By employing this technique, ISPH method is stabled. The validation by comparison with laboratory data is conducted for bumpy channel with various boundary conditions. The numerical results showed good agreement with available experimental data. Also relative error is calculated for two numerical cases.

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Section: Isph Formulationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Numerical modeling of flood waves in a bumpy channel with the different boundary conditions

et al. 2017

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“…Moreover, this surface force may contribute, or even dominate, the soil deformation of the slide, which in turn influences the flow characteristics of water. Shakibaeinia and Jin (2011) employed a fluid-fluid interface coupling technique in the scope of N-S equation with different material parameters instead of elasto-plastic model which many engineers on soil mechanics would prefer for landslide problems. Unilateral coupling methods, such as sediment flushing where a Mohr-Coulomb erosion criterion is used to decide the interfacial soil particle to be at rest or eroded by Manenti et al (2012) , would not work in the simulation of impulse waves.…”

Section: Soil-water Coupling Modelmentioning

confidence: 99%

Numerical simulation of landslide-generated waves using a soil–water coupling smoothed particle hydrodynamics model

Shi

et al. 2016

Advances in Water Resources

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“…For example, Hayashi et al (2003) used the Moving Particle Semi-implicit (MPS) method combined with a bed scour model based on erosion velocity to compute the seawall toe scouring due to a dropping jet. Shakibaeinia and Jin (2011) used the weakly compressible MPS formulation together with different rheological models to compute an unsteady dam break flow over movable bed. On the other hand, the Smoothed Particle Hydrodynamics (SPH) method has recently been explored in many coastal and hydraulic applications due to its high accuracy and flexibility in adapting to a wide range of flow scenarios.…”

Section: Introductionmentioning

confidence: 99%

Incompressible SPH scour model for movable bed dam break flows

Ran

Tong

Shao

et al. 2015

Advances in Water Resources

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In this study an incompressible Smoothed Particle Hydrodynamics (ISPH) approach coupled with the sediment erosion model is developed to investigate the sediment bed scour and grain movement under the dam break flows. Two-phase formulations are used in the ISPH numerical algorithms to examine the free surface and bed evolution profiles, in which the entrained sediments are treated as a different fluid component as compared with the water. The sediment bed erosion model is based on the concept of pick-up flow velocity and the sediment is initiated when the local flow velocity exceeds a critical value. Also, a simple viscosity model is used to correct the fluid viscosity due to the mixing of the sediment materials with water. The proposed model is used to reproduce the sediment erosion and follow-on entrainment process under an instantaneous dam break flow and the results are compared with those from the weakly compressible Moving Particle Semi-implicit (WCMPS) method as well as the experimental data. It has been demonstrated that the two-phase ISPH model performed well with the experimental data. The study shows that the ISPH modelling approach can accurately predict the dynamic sediment scouring process without the need to use empirical sediment transport formulas.

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A mesh-free particle model for simulation of mobile-bed dam break

Cited by 112 publications

References 30 publications

Numerical modeling of flood waves in a bumpy channel with the different boundary conditions

Numerical modeling of flood waves in a bumpy channel with the different boundary conditions

Numerical simulation of landslide-generated waves using a soil–water coupling smoothed particle hydrodynamics model

Incompressible SPH scour model for movable bed dam break flows

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