Conduction Modelling Using Smoothed Particle Hydrodynamics

Cleary, Paul W.; Monaghan, J. J.

doi:10.1006/jcph.1998.6118

Cited by 530 publications

(340 citation statements)

References 7 publications

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“…Since its invention, it has been extensively studied, extended and applied in many areas such as the dynamic response of elasto-plastic materials [18][19][20], free surface flows [21], low-Reynolds number viscous flows [22][23][24], solid friction [25], incompressible fluids [26,27], heat transfer [28], multi-phase flows [29,30], geophysical flows [31][32][33] and turbulence modeling [34]. Solid friction has often been studied using embedded atom methods, a method very similar in spirit to SPH [35].…”

Section: Introductionmentioning

confidence: 99%

A numerical study of the SPH method for simulating transient viscoelastic free surface flows

Fang

Owens

Tacher

et al. 2006

Journal of Non-Newtonian Fluid Mechanics

145

121

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The smoothed particle hydrodynamics (SPH) method is extended and tested for the numerical simulation of transient viscoelastic free surface flows. The basic equations governing the free surface flow of an Oldroyd-B fluid are considered and approximated by SPH. In particular, a drop of an Oldroyd-B fluid impacting a rigid plate is simulated. Results for a Newtonian fluid are also presented for comparison. It is found that the original SPH method, which has been successfully applied to the simulation of transient viscoelastic flows in bounded domains (such as the start-up flow between parallel plates), is unable to simulate the viscoelastic free surface flow considered here because of the so-called tensile instability. This instability leads to unrealistic fracture and particle clustering in fluid stretching and may eventually result in complete blowup of the simulation. Recent works have shown that in simulations of elastic solids the tensile instability can be removed by an artificial stress. Here we show that the same idea also works for viscoelastic fluids provided that the constant parameter entering in the definition of the artificial stress is properly chosen. Numerical results obtained are in good agreement with those simulated by a finite difference technique.

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Section: Introductionmentioning

confidence: 99%

A numerical study of the SPH method for simulating transient viscoelastic free surface flows

Fang

Owens

Tacher

et al. 2006

Journal of Non-Newtonian Fluid Mechanics

145

121

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show abstract

“…This equation guarantees that the heat flux is automatically continuous across the different material interfaces, such as between the liquid and solid metals. This also allows multiple phases with different conductivities to be accurately simulated [15]. The model coupling the both domains (FEþSPH) is based upon a solution of coupling by fixing particles to the FE nodes.…”

Section: The Momentum Equation Can Be Rewritten In the Sph Formalism Asmentioning

confidence: 99%

Developing a Hybrid Model and a Multi‐Scale 3D Concept of Integrated Modelling High‐Temperature Processes

Hojny¹

2017

Computer Simulation

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The chapter presents an idea of constructing a scientific workshop focused on hightemperature processes, based upon a concept of integrated modelling combining the advantages of computer and physical simulations. Examples of physical simulation results aiming at determining necessary material data and high-temperature characteristics for the needs of computer simulations are presented. They are complemented by an outline of numerical 3D models developed and results of test simulations of a 3D solver of the finite element method (FEM) and the smoothed particle hydrodynamics (SPH). This chapter is closed with a short summary, indicating trends in further research focused on a further development of the DEFFEM simulation package and research and measurement methods.

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“…The time step has been chosen to satisfy the Monaghan and Cleary [17] criterion for pure heat conduction problems, ≤ 0.15 ℎ 2 (15) In this case, the thermal diffusivity and time step were considered as (α=1 cm 2 /s, dt = 0.001 s) respectively. The value of (h) was then optimized to minimize the error.…”

Section: At T = Dt (Ie N=1)mentioning

confidence: 99%

Influence of Smoothing Length and Virtual Particles on SPH Accuracy

ElGammal¹,

Khalil²,

Haridy³

et al. 2013

IJMMM

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Abstract-Using a well known 2-D transient heat conduction benchmark, a parametric study is conducted to identify the best values for the smoothing length (h) as function of particles spacing in order to minimize the error in the temperature distribution particularly at the center of the domain when applying the Smooth Particle Hydrodynamics (SPH) algorithm. Also the effect of the virtual particles on the numerical solution has been investigated. The results showed that the predefined smoothing length can have significant influence on the accuracy of the prediction and using the optimum value leads to minimum error in temperature prediction values. The results obtained with and without virtual particles has been presented and compared with the analytical solution.

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Conduction Modelling Using Smoothed Particle Hydrodynamics

Cited by 530 publications

References 7 publications

A numerical study of the SPH method for simulating transient viscoelastic free surface flows

A numerical study of the SPH method for simulating transient viscoelastic free surface flows

Developing a Hybrid Model and a Multi‐Scale 3D Concept of Integrated Modelling High‐Temperature Processes

Influence of Smoothing Length and Virtual Particles on SPH Accuracy

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