Simulation of Free Surface Benchmark Problems Using Level Set and SPH Methods

2011 ◽  
Author(s):  
Nitin Repalle ◽  
Ashkan Rafiee ◽  
K. P. Thiagarajan ◽  
Murali Kantharaj
Keyword(s):  
Level Set ◽  
Multiphase Flows ◽  
Benchmark Problems ◽  
Robust Methods ◽  
Moving Interface ◽  
Particle Hydrodynamics ◽  
Smoothed Particle ◽  
Bubble Rising ◽  
Density Ratios ◽  
Physical Phenomena

Multiphase flows are present in many different industrial and research applications. The accurate tracking of interfaces is therefore an important part of numerical simulation of many physical phenomena. One of the challenges in modeling multiphase flows is to capture a moving interface with a large deformation, especially the breaking and merging of the interface. In the recent past, level set method and Smoothed Particle Hydrodynamics (SPH) have emerged as efficient and robust methods to handle multiphase flows with large topological changes and high density ratios. The capability, efficiency and accuracy of these techniques are compared for a range of benchmark problems, such as gas bubble rising in a viscous liquid and collapse of a column of water. The results are compared with available numerical and experimental data.

scholarly journals Dual-Support Smoothed Particle Hydrodynamics for Elastic Mechanics

2017 ◽  
Vol 14 (04) ◽  
pp. 1750039 ◽  
Author(s):  
Zili Dai ◽  
Huilong Ren ◽  
Xiaoying Zhuang ◽  
Timon Rabczuk
Keyword(s):  
Linear Transformation ◽  
Smoothed Particle Hydrodynamics ◽  
Three Dimensions ◽  
Benchmark Problems ◽  
Sph Method ◽  
Particle Hydrodynamics ◽  
Sph Model ◽  
Smoothed Particle ◽  
Support Domain ◽  
Elastic Mechanics

In the standard smoothed particle hydrodynamics (SPH) method, the interaction between two particles might be not pairwise when the support domain varies, which can result in a reduction of accuracy. To deal with this problem, a modified SPH approach is presented in this paper. First of all, a Lagrangian kernel is introduced to eliminate spurious distortions of the domain of material stability, and the gradient is corrected by a linear transformation so that linear completeness is satisfied. Then, concepts of support and dual-support are defined to deal with the unbalanced interactions between the particles with different support domains. Several benchmark problems in one, two and three dimensions are tested to verify the accuracy of the modified SPH model and highlight its advantages over the standard SPH method through comparisons.

scholarly journals Comparison and Development of Equation of State Laws in Smoothed Particle Hydrodynamics

2014 ◽  
Vol 553 ◽  
pp. 144-149
Author(s):  
Patrick Peacock ◽  
David W. Holmes
Keyword(s):  
Equation Of State ◽  
Proof Of Concept ◽  
State Laws ◽  
Flow Problems ◽  
Thermally Driven ◽  
Particle Hydrodynamics ◽  
Smoothed Particle ◽  
New Equation ◽  
Future Work ◽  
Physical Phenomena

In this paper we present a brief comparison of existing equation of state laws used inSmoothed Particle Hydrodynamics (SPH) and introduce some new expressions for the equation ofstate for pressure, as well as to calculate temperature. In SPH literature practical examples of heatconduction and energy are scarce when compared with fluid flow formulations that determine pressuresimply from density and an artificial speed of sound. Such simplifications may be appropriate forisothermal flow problems; however, a more thermodynamically rigorous formulation is necessary forcomplex and thermally driven problems, particularly in geophysics. This work discusses conventionalequations of state, as well as presenting some new relations. This includes having pressure depend onthe energy of the system, and applying these relations to a number of proof of concept examplesdemonstrating natural convection and examining the parameters of the new equation of state. Thesedevelopments facilitate future work towards modelling more complex physical phenomena such asheat driven convective flow.

scholarly journals Multiphase Flows Simulation with the Smoothed Particle Hydrodynamics Method

2019 ◽  
pp. 282-301
Author(s):  
Carlos E. Alvarado-Rodríguez ◽  
Jaime Klapp ◽  
J. M. Domínguez ◽  
A. R. Uribe-Ramírez ◽  
J. J. Ramírez-Minguela ◽  
...  
Keyword(s):  
Smoothed Particle Hydrodynamics ◽  
Multiphase Flows ◽  
Particle Hydrodynamics ◽  
Smoothed Particle ◽  
Smoothed Particle Hydrodynamics Method

A Study on Application of Smoothed Particle Hydrodynamics to Multi-Phase Flows

2012 ◽  
Vol 13 (6) ◽  
Author(s):  
K. Szewc ◽  
A. Tanière ◽  
J. Pozorski ◽  
J.-P. Minier
Keyword(s):  
Smoothed Particle Hydrodynamics ◽  
Three Dimensional ◽  
Lagrangian Particle ◽  
Droplet Deformation ◽  
Natural Approach ◽  
Particle Hydrodynamics ◽  
Smoothed Particle ◽  
Rayleigh Taylor Instability ◽  
Bubble Rising ◽  
Multi Phase

AbstractSmoothed Particle Hydrodynamics (SPH) is a fully Lagrangian, particle-based technique for fluid-flow computations. The main advantage over Eulerian techniques is no requirement of the grid, therefore this is a natural approach to simulate multi-phase flows. The main purpose of this study is an overview and the critical analysis of the SPH variants to see their influence on the flow computations with many components (the historical way of improving the SPH approach). The comparison is performed using common validation (two- and three-dimensional) tests: the Rayleigh-Taylor instability, a square-droplet deformation and a bubble rising in water. The special attention will be given to compare different surface-tension models.

Improved wall boundary conditions in the incompressible smoothed particle hydrodynamics method

2018 ◽  
Vol 28 (3) ◽  
pp. 704-725 ◽  
Author(s):  
Tuan Minh Nguyen ◽  
Abdelraheem M. Aly ◽  
Sang-Wook Lee
Keyword(s):  
Boundary Conditions ◽  
Smoothed Particle Hydrodynamics ◽  
Benchmark Problems ◽  
Content Type ◽  
Pressure Poisson Equation ◽  
Wall Boundary ◽  
Wall Boundary Conditions ◽  
Particle Hydrodynamics ◽  
Smoothed Particle ◽  
Incompressible Smoothed Particle Hydrodynamics

Purpose The purpose of this paper is to improve the 2D incompressible smoothed particle hydrodynamics (ISPH) method by working on the wall boundary conditions in ISPH method. Here, two different wall boundary conditions in ISPH method including dummy wall particles and analytical kernel renormalization wall boundary conditions have been discussed in details. Design/methodology/approach The ISPH algorithm based on the projection method with a divergence velocity condition with improved boundary conditions has been adapted. Findings The authors tested the current ISPH method with the improved boundary conditions by a lid-driven cavity for different Reynolds number 100 ≤ Re ≤ 1,000. The results are well validated with the benchmark problems. Originality/value In the case of dummy wall boundary particles, the homogeneous Newman boundary condition was applied in solving the linear systems of pressure Poisson equation. In the case of renormalization wall boundary conditions, the authors analytically computed the renormalization factor and its gradient based on a quintic kernel function.

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