An Eulerian–Lagrangian incompressible SPH formulation (ELI-SPH) connected with a sharp interface

Fourtakas, Georgios; Stansby, Peter; Rogers, Benedict D.; Lind, Steven

doi:10.1016/j.cma.2017.09.029

Cited by 50 publications

(30 citation statements)

References 17 publications

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“…The SPH formulation can be used to simulate real fluid flows after discretizing spatially the Navier-Stokes equations, leading to a system of ordinary differential equations with respect to time t: [32][33][34]…”

Section: Sph Methodsmentioning

confidence: 99%

Optimized incompressible smoothed particle hydrodynamics methods and validations

Ortega¹,

Beaudoin²,

Huberson³

2020

Numerical Methods in Fluids

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The solution of the Poisson's equation used by the incompressible smoothed particle hydrodynamics (ISPH) methods for estimating the pressure field is expensive in CPU time. The CPU time, consumed by the inversion of the operator ∇(1∕ ∇) and the estimation of the right hand side of the Poisson's equation, increases with the number N of particles used in a purely Lagrangian framework. In this work, this default of ISPH methods is overcome by solving the Poisson's equation on a Cartesian grid. This SPH-mesh coupling is equivalent to the particle in cell method. In a first step, in order to analyze its efficiency, the optimized version of two ISPH methods (divergence free and density invariant) is compared with the standard weakly compressible SPH method through two benchmarks of incompressible bidimensional flows characterized by the Reynolds number Re, Lamb-Oseen vortex (10 ≤ Re ≤ 100) and lid-driven cavity flow (100 ≤ Re ≤ 1000). In a second step, the numerical results obtained by the three SPH methods are compared to laboratory experimental data of a dam break flow in order to show the performance of the SPH-mesh coupling in a practical and complex flow problem. As in the configuration of the experimental setup, the numerical results are obtained for a Reynolds number Re = 3.8 10 6 .

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Section: Sph Methodsmentioning

confidence: 99%

Optimized incompressible smoothed particle hydrodynamics methods and validations

Ortega¹,

Beaudoin²,

Huberson³

2020

Numerical Methods in Fluids

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“…Several SPH models have been proposed to deal with incompressible fluid flow simulation, such as ISPH [14][15][16], Riemann-based SPH [17][18][19][20], Eulerian-Lagrangian incompressible SPH [21,22], δ-SPH [23][24][25]. Thanks to the robustness, simplicity of implementation, and the ease of extension from the standard SPH model [26] without cumbersome modifications, the δ-SPH has been known as a good progress, and got the attention of researchers and engineers in several fields [27,28].…”

Section: Introductionmentioning

confidence: 99%

A WCSPH Particle Shifting Strategy for Simulating Violent Free Surface Flows

Krimi

Jandaghian

Shakibaeinia

2020

Water

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In this work, we develop an enhanced particle shifting strategy in the framework of weakly compressible δ+-SPH method. This technique can be considered as an extension of the so-called improved particle shifting technology (IPST) proposed by Wang et al. (2019). We introduce a new parameter named “ϕ” to the particle shifting formulation, on the one hand to reduce the effect of truncated kernel support on the formulation near the free surface region, on the other hand, to deal with the problem of poor estimation of free surface particles. We define a simple criterion based on the estimation of particle concentration to limit the error’s accumulation in time caused by the shifting in order to achieve a long time violent free surface flows simulation. We propose also an efficient and simple concept for free surface particles detection. A validation of accuracy, stability and consistency of the presented model was shown via several challenging benchmarks.

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“…The interaction between the SPH solver and the external solution is achieved through an interface region containing a so-called "ghost fluid", used to impose any external boundary condition. In Fourtakas et al [4], a hybrid Eulerian-Lagrangian incompressible SPH formulation is introduced, where two different SPH formulations are coupled, rather than two completely different solvers. The SPH solver DualSPHyics has been coupled in Altomare et al [5] and Altomare et al [6], where a one-way coupling was realized with the wave propagation model SWASH [7].…”

Section: Introductionmentioning

confidence: 99%

Implementation of Open Boundaries within a Two-Way Coupled SPH Model to Simulate Nonlinear Wave–Structure Interactions

et al. 2019

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A two-way coupling between the Smoothed Particle Hydrodynamics (SPH) solver DualSPHysics and the Fully Nonlinear Potential Flow solver OceanWave3D is presented. At the coupling interfaces within the SPH numerical domain, an open boundary formulation is applied. An inlet and outlet zone are filled with buffer particles. At the inlet, horizontal orbital velocities and surface elevations calculated using OceanWave3D are imposed on the buffer particles. At the outlet, horizontal orbital velocities are imposed, but the surface elevation is extrapolated from the fluid domain. Velocity corrections are applied to avoid unwanted reflections in the SPH fluid domain. The SPH surface elevation is coupled back to OceanWave3D, where the originally calculated free surface is overwritten. The coupling methodology is validated using a 2D test case of a floating box. Additionally, a 3D proof of concept is shown where overtopping waves are acting on a heaving cylinder. The two-way coupled model (exchange of information in two directions between the coupled models) has proven to be capable of simulating wave propagation and wave–structure interaction problems with an acceptable accuracy with error values remaining below the smoothing length h S P H .

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An Eulerian–Lagrangian incompressible SPH formulation (ELI-SPH) connected with a sharp interface

Cited by 50 publications

References 17 publications

Optimized incompressible smoothed particle hydrodynamics methods and validations

Optimized incompressible smoothed particle hydrodynamics methods and validations

A WCSPH Particle Shifting Strategy for Simulating Violent Free Surface Flows

Implementation of Open Boundaries within a Two-Way Coupled SPH Model to Simulate Nonlinear Wave–Structure Interactions

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