Open boundary conditions for ISPH and their application to micro-flow

Hirschler, Manuel; Kunz, P.; Huber, M.; Hahn, Friedemann; Nieken, Ulrich

doi:10.1016/j.jcp.2015.12.024

Cited by 38 publications

(11 citation statements)

References 22 publications

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“…Inflow and outflow at the open domain boundaries are realized by Dirichlet boundary conditions for the projected pressure field. Details on the algorithm and boundary conditions are presented in , . The accuracy of the applied two‐phase flow algorithm was shown in a previous work .…”

Section: Methodsmentioning

confidence: 99%

Simulation of Electrolyte Imbibition in Gas Diffusion Electrodes

Kunz

Hopp‐Hirschler

Nieken

2019

Chemie Ingenieur Technik

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The performance of the gas diffusion electrode (GDE) is most crucial for technical processes like chlor-alkali electrolysis. It is responsible to ensure intimate contact between gaseous reactants, catalyst, and electrolyte. The physically based contact line force model is employed to simulate the electrolyte imbibition into solid microstructures using the smoothed particle hydrodynamics method. Simulations are presented to show key aspects like the effect of heterogeneous solid substrates with different wetting behavior. Finally, the imbibition in a real GDE geometry is studied for given flux or pressure inlet conditions.

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Section: Methodsmentioning

confidence: 99%

Simulation of Electrolyte Imbibition in Gas Diffusion Electrodes

Kunz

Hopp‐Hirschler

Nieken

2019

Chemie Ingenieur Technik

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“…This kind of method is more complex than the ones based on buffer layers but makes it possible to accurately prescribe open boundary conditions on the fields, as was shown in [15]. A third kind of method was recently proposed in [16], based on the mirror particles technique.…”

Section: On the Other Hand Three Types Of Methods Have Been Proposedmentioning

confidence: 99%

“…Few works regarding open boundary conditions for ISPH have been proposed until now, some based on the buffer layers technique (see [20] for example) and the one cited earlier ( [16]) based on mirror particles.…”

Section: Regardless Of the Methods Chosen To Discretise Open Boundariementioning

confidence: 99%

A new open boundary formulation for incompressible SPH

Leroy¹,

Violeau²,

Ferrand³

et al. 2016

Computers & Mathematics with Applications

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International audienceIn this work a new formulation for inflow/outflow boundary conditions in an incompressible Smoothed Particles Hydrodynamics (ISPH) model is proposed. It relies on the technique of unified semi-analytical boundary conditions that was first proposed for wall boundary conditions in 2013, then extended to open boundaries in the framework of weakly-compressible SPH (WCSPH). An ISPH model relying on that formulation for solid boundaries was then proposed, which is the one considered here. It includes a buoyancy model for temperature effects and a k − turbulence closure. There are two main requirements for the imposition of open boundaries in ISPH: an algorithm to let particles enter and leave the domain, and the correct imposition of open boundary conditions on the fields. Regarding the algorithm for particles creation/destruction, it relies on the variation of mass of the particles located at the open boundaries. When the mass of such a particle reaches a threshold, a new particle is released. On the other hand, the imposition of open boundary conditions on the fields is done by prescribing the value of the boundary terms appearing in the semi-analytical formulation. The formulation was first validated in 2-D on a cut dam-break, a case of propagation of a solitary wave and a Creager weir. It was then extended to 3-D and tested on a 3-D circular pipe. A preliminary application case consisting of two connected pipes at different temperatures was then simulated. The results are promising since in all cases the fluid enters and leaves the domain as prescribed and generating none or very few reflected waves

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“…Inlet and outlet boundary conditions have a wide range of applications in engineering problems. They are commonly used in the simulation of arterial networks, circular tube flow, heat transfer systems, combustion, microflow, etc. In the light of the above research, proper inlet and outlet boundary conditions are indispensable to numerical methods for solving real‐world problems.…”

Section: Introductionmentioning

confidence: 99%

“…They use multiple layers of image particles to specify the Dirichlet condition for velocity and pressure. In the works of Hirschler et al and Kunz et al, open boundary conditions are developed for ISPH method, which solves the pressure in an implicit way. In their method, a mirror ghost particle technique is applied to account for the particle deficit at the open boundary.…”

Section: Introductionmentioning

confidence: 99%

Consistent inlet and outlet boundary conditions for particle methods

Wang

Tamai

et al. 2019

Numerical Methods in Fluids

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Summary In this paper, simple and consistent open boundary conditions are presented for the numerical simulation of viscous incompressible laminar flows. The present approach is based on an arbitrary Lagrangian‐Eulerian particle method using upwind interpolation. Three kinds of inlet/outlet boundary conditions are proposed for particle methods, a pressure specified inlet/outlet condition, a velocity profile specified inlet/outlet condition, and a fully developed flow outlet condition. These inlet/outlet conditions are realized by using boundary particles and modification to the physical value such as velocity. Poiseuille flows, flows over a backward‐facing step, and flows in a T‐shape branch are calculated. The results are compared with those of mesh‐based methods such as the finite volume method. The method presented herein exhibits accuracy and numerical stability.

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Open boundary conditions for ISPH and their application to micro-flow

Cited by 38 publications

References 22 publications

Simulation of Electrolyte Imbibition in Gas Diffusion Electrodes

Simulation of Electrolyte Imbibition in Gas Diffusion Electrodes

A new open boundary formulation for incompressible SPH

Consistent inlet and outlet boundary conditions for particle methods

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