An improved non-reflecting outlet boundary condition for weakly-compressible SPH

Negi, Pawan; Ramachandran, Prabhu; Haftu, Asmelash

doi:10.1016/j.cma.2020.113119

Cited by 24 publications

(9 citation statements)

References 33 publications

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“…In all cases, the phases differ slightly according to the resolution and numerical scheme. However, the Strouhal number (

St

) obtained from the averaged frequencies (

f

) are consistent with one another and the reference solutions 29,36–46 …”

Section: Benchmark Simulationssupporting

confidence: 67%

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A simple Eulerian–Lagrangian weakly compressible smoothed particle hydrodynamics method for fluid flow and heat transfer

Yoo

Kim

et al. 2022

Numerical Meth Engineering

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In this article, we propose a simple, consistent, and robust Eulerian-Lagrangian weakly compressible smoothed particle hydrodynamics (EL-WCSPH) for the simulation of hydrodynamics and convection heat transfer problems. First, the basic governing equation is formulated using the ALE-SPH framework. The universal formulation is similar to the standard WCSPH, but the degree of Eulerian and Lagrangian schemes can be controlled by inserting a pre-defined arbitrary parameter α ∈ [0, 1]. To alleviate potential numerical errors and inconsistency, particle mass correction is proposed along with particle disorder correction.Then, an algorithm is introduced, in which only a slight modification is necessary compared to the standard WCSPH. Finally, extensive benchmark simulations are conducted to validate the proposed method. As a result, the proposed method is found to perform well in hydrodynamics problems with various flow conditions (pipe flow, lid-driven problem, Taylor-Green vortex, vortex shedding problem, and water sloshing) and thermal-hydraulics problems (natural convection in a square cavity).

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“…In all cases, the phases differ slightly according to the resolution and numerical scheme. However, the Strouhal number (

St

) obtained from the averaged frequencies (

f

) are consistent with one another and the reference solutions 29,36–46 …”

Section: Benchmark Simulationssupporting

confidence: 67%

“…However, the Strouhal number (St) obtained from the averaged frequencies (f ) are consistent with one another and the reference solutions. 29,[36][37][38][39][40][41][42][43][44][45][46]…”

Section: D Vortex Sheddingmentioning

confidence: 99%

A simple Eulerian–Lagrangian weakly compressible smoothed particle hydrodynamics method for fluid flow and heat transfer

Yoo

Kim

et al. 2022

Numerical Meth Engineering

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“…For the outlet boundary condition we use the hybrid outlet condition of Negi et al [29], where we extrapolate the characteristic variables, referred to as J 1 , J 2 , and J 3 in aforementioned article, of the fluid onto the outlet particles and add them to the time-averaged value of the corresponding property. For the inlet we use a similar method, where the characteristics are evaluated as done in Lastiwka et al [30].…”

Section: Boundary Conditionsmentioning

confidence: 99%

Efficient and Accurate Adaptive Resolution for Weakly-Compressible SPH

Muta,

Ramachandran

2021

Preprint

Self Cite

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In this paper we propose an accurate, and computationally efficient method for incorporating adaptive spatial resolution into weakly-compressible Smoothed Particle Hydrodynamics (SPH) schemes. Particles are adaptively split and merged in an accurate manner while ensuring that the number of particles is not large for a given resolution. Critically, the method ensures that the number of neighbors of each particle is optimal, leading to an efficient algorithm. A set of background particles is used to specify either geometry-based spatial resolution or solution-based adaptive resolution. This allows us to simulate problems using particles having length variations of the order of 1:250 with much fewer particles than currently reported with other techniques. The method is designed to automatically adapt when any solid bodies move. The algorithms employed are fully parallel. We consider a suite of benchmark problems to demonstrate the accuracy of the approach. We then consider the classic problem of the flow past a circular cylinder at a range of Reynolds numbers and show that the proposed method produces accurate results with a significantly reduced number of particles. We provide an open source implementation and a fully reproducible manuscript.

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“…Boundary treatment has been the main focus and difficulty of the SPH method, which affects the accuracy and precision of the calculation. Many different approaches have been proposed in the literature to enforce the solid boundary conditions to prevent particle penetration [31][32][33]. The proposal of a generalized wall boundary condition is an alternative to the dynamic boundary conditions, which can be applied in complex geometries [34,35].…”

Section: Introductionmentioning

confidence: 99%

Application of Smoothed Particle Hydrodynamics (SPH) for the Simulation of Flow-Like Landslides on 3D Terrains

Cui¹,

Zhang²

2023

Computer Modeling in Engineering &Amp; Sciences

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Flow-type landslide is one type of landslide that generally exhibits characteristics of high flow velocities, long jump distances, and poor predictability. Simulation of its propagation process can provide solutions for risk assessment and mitigation design. The smoothed particle hydrodynamics (SPH) method has been successfully applied to the simulation of two-dimensional (2D) and three-dimensional (3D) flow-like landslides. However, the influence of boundary resistance on the whole process of landslide failure is rarely discussed. In this study, a boundary condition considering friction is proposed and integrated into the SPH method, and its accuracy is verified. Moreover, the Navier-Stokes equation combined with the non-Newtonian fluid rheology model was utilized to solve the dynamic behavior of the flow-like landslide. To verify its performance, the Shuicheng landslide event, which occurred in Guizhou, China, was taken as a case study. In the 2D simulation, a sensitivity analysis was conducted, and the results showed that the shearing strength parameters have more influence on the computation accuracy than the coefficient of viscosity. Afterwards, the dynamic characteristics of the landslide, such as the velocity and the impact area, were analyzed in the 3D simulation. The simulation results are in good agreement with the field investigations. The simulation results demonstrate that the SPH method performs well in reproducing the landslide process, and facilitates the analysis of landslide characteristics as well as the affected areas, which provides a scientific basis for conducting the risk assessment and disaster mitigation design.

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An improved non-reflecting outlet boundary condition for weakly-compressible SPH

Cited by 24 publications

References 33 publications

A simple Eulerian–Lagrangian weakly compressible smoothed particle hydrodynamics method for fluid flow and heat transfer

A simple Eulerian–Lagrangian weakly compressible smoothed particle hydrodynamics method for fluid flow and heat transfer

Efficient and Accurate Adaptive Resolution for Weakly-Compressible SPH

Application of Smoothed Particle Hydrodynamics (SPH) for the Simulation of Flow-Like Landslides on 3D Terrains

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