Two-dimensional characteristic boundary conditions for open boundaries in the lattice Boltzmann methods

Jung, Narina; Seo, Hae Won; Yoo, Chun Sang

doi:10.1016/j.jcp.2015.08.044

Cited by 15 publications

(16 citation statements)

References 21 publications

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“…For the baseline approach, one can see that the reflected wave becomes more important as the local incidence of the spherical waves increases, because the incident wave can be approximated as a local normal plane in the center of the outlet while, in the corners, the incidence becomes important (up to 75 • ). When adding transverse term without any relaxation as in [28,17], the observation confirms the prospective behavior of the plane waves simulations: even if the reflection rate is consistently reduced for angles below 40 • , it reaches 20% for the greatest observed angles. On the contrary, the reflection rate remains constant with the local streamline LODI implementation.…”

Section: D Spherical Wavesupporting

confidence: 71%

“…For the modified Thompson approach, the results are close to what can be found in [18]: the reflection rate slightly increases and reaches 5% at 40 • of incidence. On the contrary, when the CBC method is extended with the effects of transverse waves as in [28,17], the reflection rate decreases until 30 • and then begins to increase. In the case of a local streamline LODI implementation, the coefficient remains stable at around 2% of reflected wave.…”

Section: D Plane Wave With Incidencementioning

confidence: 99%

“…In the isothermal case, (17) and (18) are equivalent. Finally, with a temporal discretization using an explicit second-order scheme, the physical values that must be imposed at the next time step in order to avoid acoustic reflections can be computed.…”

Section: Lodi Approximation (Baseline Lodi)mentioning

confidence: 99%

“…Izquierdo and Fueyo [14] used a pressure antibounceback boundary condition [15] adapted to the multiple relaxation time (MRT) collision scheme [16] to impose the Dirichlet density and velocity conditions given by the local onedimensional inviscid (LODI) equations, which provided non-reflective outflow boundary conditions for onedimensional waves. More recently, Jung et al [17] extended the previous work to include the effects of transverse and viscous terms in the Characteristic Boundary Conditions (CBC) and showed good performance for vortex outflow. Meanwhile, Heubes et al [18] adapted the solution given by a modified-Thompson approach by imposing the corresponding equilibrium populations and Schlaffer [19] assessed a modified Zou/He bound-ary condition [20].…”

Section: Introductionmentioning

confidence: 97%

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Regularized characteristic boundary conditions for the Lattice-Boltzmann methods at high Reynolds number flows

Wissocq

Gourdain²,

Malaspinas

et al. 2017

Journal of Computational Physics

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This paper reports the investigations done to adapt the Characteristic Boundary Conditions (CBC) to the LatticeBoltzmann formalism for high Reynolds number applications. Three CBC formalisms are implemented and tested in an open source LBM code: the baseline local one-dimension inviscid (BL-LODI) approach, its extension including the effects of the transverse terms (CBC-2D) and a local streamline approach in which the problem is reformulated in the incident wave framework (LS-LODI). Then all implementations of the CBC methods are tested for a variety of test cases, ranging from canonical problems (such as 2D plane and spherical waves and 2D vortices) to a 2D NACA profile at high Reynolds number (Re = 10 5 ), representative of aeronautic applications. The LS-LODI approach provides the best results for pure acoustics waves (plane and spherical waves). However, it is not well suited to the outflow of a convected vortex for which the CBC-2D associated with a relaxation on density and transverse waves provides the best results. As regards numerical stability, a regularized adaptation is necessary to simulate high Reynolds number flows. The so-called regularized FD (Finite Difference) adaptation, a modified regularized approach where the offequilibrium part of the stress tensor is computed thanks to a finite difference scheme, is the only tested adaptation that can handle the high Reynolds computation.

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Section: D Spherical Wavesupporting

confidence: 71%

Section: D Plane Wave With Incidencementioning

confidence: 99%

Section: Lodi Approximation (Baseline Lodi)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 97%

See 2 more Smart Citations

Regularized characteristic boundary conditions for the Lattice-Boltzmann methods at high Reynolds number flows

Wissocq

Gourdain²,

Malaspinas

et al. 2017

Journal of Computational Physics

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“…It is found that implementation of boundary condition for the open boundaries strongly deteriorate the stability of interior solution because of spurious wave reflections [16] in most of the numerical methods, as well as the standard LBM.…”

Section: Introductionmentioning

confidence: 99%

Implementation of a curved wall- and an absorbing open-boundary condition for the D3Q19 lattice Boltzmann method for simulation of incompressible fluid flows

Ezzatneshan

2018

Scientia Iranica

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Pressure boundary condition in a multiphase lattice Boltzmann method and its applications on simulations of two‐phase flows

Wang

Peng

2020

Numerical Methods in Fluids

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As a lattice Boltzmann method, He-Chen-Zhang model is widely used in two-phase simulations. However, the pressure boundary conditions applied in He-Chen-Zhang model have hardly been discussed in detail before. In this article, a pressure boundary condition for single-phase flows is extended to He-Chen-Zhang model for simulating two-phase flows in porous media or in channel. Several cases are conducted for validation. Qualitatively, the displacement of two-phase flows in porous media or in channel is reproduced; the manipulations of droplet in T-junction, duct, or needle are simulated. These numerical results match well with the basic physical reality. Quantitatively, we tested the displacement of two-phase fluids in a channel under specified pressure gradient, and it is found that the velocity profile on the crosssection coincides with the analytical solution exactly. Moreover, for stable displacement of two-phase flows in a channel, the numerical linear relation between the apparent contact angle and the velocity of contact line coincides well with the theoretical result reported before. The present pressure boundary condition proves to be a reliable method to deal with the problems of two-phase flows, which are driven by pressure difference. K E Y W O R D S displacement, droplet, lattice Boltzmann, pressure boundary conditions, two-phase flows 1 Int J Numer Meth Fluids. 2020;92:669-686. wileyonlinelibrary.com/journal/fld

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Two-dimensional characteristic boundary conditions for open boundaries in the lattice Boltzmann methods

Cited by 15 publications

References 21 publications

Regularized characteristic boundary conditions for the Lattice-Boltzmann methods at high Reynolds number flows

Regularized characteristic boundary conditions for the Lattice-Boltzmann methods at high Reynolds number flows

Implementation of a curved wall- and an absorbing open-boundary condition for the D3Q19 lattice Boltzmann method for simulation of incompressible fluid flows

Pressure boundary condition in a multiphase lattice Boltzmann method and its applications on simulations of two‐phase flows

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