A Comparative Study of Two Different Density Estimation Techniques for Multi-Phase Flow Simulations Using SPH

Suresh, P.V.; Kumar, Sanjay; Pantaik, B. S. V.

doi:10.1080/15502287.2018.1520756

Cited by 6 publications

(4 citation statements)

References 39 publications

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“…where the SPH form of the gradient of artificial viscosity i  for particle i is expressed as (Suresh et al, 2019b)…”

Section: Artificial Viscositymentioning

confidence: 99%

“…(Colagrossi and Landrini, 2003). On the other hand, the XSPH modification in section 4.5 with the constant being 0.08   (Suresh et al, 2019a) is used for displacement fields smoothing. The Velocity Verlet algorithm in section 4.1 is adopted.…”

Section: Hydrostatic Testmentioning

confidence: 99%

“…The Incompressible SPH (ISPH) scheme is applied in (Rezavand et al, 2018) with a velocity divergence-free projection algorithm to solve the benchmark multi-fluid problems. The comparative study has been conducted for multi-phase fluid flow to estimate the available SPH techniques (Fürstenau et al, 2016;Suresh et al, 2019b).…”

Section: Introductionmentioning

confidence: 99%

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Multi-phase fluid flow simulation by using peridynamic differential operator

Gao

Oterkus

2020

Ocean Engineering

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The problems of multi-phase fluid flows are often encountered in engineering. In this study, a non-local numerical model of multi-phase fluid flows in the Lagrangian description is developed. Based on the peridynamic theory, a peridynamic differential operator is proposed which can convert any arbitrary order of differentials into their integral form without calculating the peridynamic parameters. Therefore, the Navier-Stokes equations including the surface tension forces are reformulated into their integral form. Subsequently, an updated Lagrangian algorithm for solving the multi-phase fluid flow problems is proposed. Besides, the particle shifting technology and moving least square algorithm are also adopted to avoid the possible tension instability. Finally, several benchmark multi-phase fluid flow problems such as two-phase hydrostatic problem, two-phase Poiseuille flow, and 2D square droplet deformation are solved to validate the proposed non-local model. It can be concluded from the current study that the peridynamic differential operator can be applied as an alternative method for multi-phase fluid flow simulation.

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“…where the SPH form of the gradient of artificial viscosity i  for particle i is expressed as (Suresh et al, 2019b)…”

Section: Artificial Viscositymentioning

confidence: 99%

Section: Hydrostatic Testmentioning

confidence: 99%

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Multi-phase fluid flow simulation by using peridynamic differential operator

Gao

Oterkus

2020

Ocean Engineering

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“…The artificial viscosity,  which is usually utilized in mesh-free methods, e.g. SPH method [46,64], can be adopted in the current PDDO fluid model. Consequently, the momentum equation becomes…”

Section: Artificial Viscosity In Pddo Formmentioning

confidence: 99%

Fluid-elastic structure interaction simulation by using ordinary state-based peridynamics and peridynamic differential operator

Gao

Oterkus

2020

Engineering Analysis with Boundary Elements

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The fluid-structure interaction phenomenon is often encountered in the ocean engineering field.In the present work, a non-local numerical model is developed for the simulations of weakly compressible viscous fluid and elastic structure interactions. The peridynamic theory is adopted for both the structure and fluid modelling. The elastic structure is described by using the ordinary state-based peridynamics, while the fluid is modelled by utilizing the peridynamic differential operator. Furthermore, the updated Lagrangian description is adopted for the fluid including the relative deformation gradient expressed by the peridynamic differential operator.The fluid-structure interface and its normal direction are calculated via the gradient of a colour function, which varies with the fluid motion and structure deformation. Besides, the interaction force exerted from fluid to structure is constrained to be always perpendicular to the moving interface. Hence the fluid motion and structural deformation are predicted simultaneously. The validation of the developed model is conducted through the simulation of a water dam break with a rubber gate. The good agreement between the peridynamic and the experiment results demonstrates the capability of the current model for solving fluid-elastic structure interaction problems.

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