A level set based sharp interface method for the multiphase incompressible Navier–Stokes equations with phase change

Gibou, Frédéric; Chen, Liguo; Nguyen, Duc; Banerjee, Sanjoy

doi:10.1016/j.jcp.2006.07.035

Cited by 306 publications

(185 citation statements)

References 31 publications

Supporting

Mentioning

182

Contrasting

Order By: Relevance

“…This methodology has been applied to a wide range of applications including deflagration in Fedkiw et al [43], compressible/incompressible fluids in Caiden et al [24], flame propagation in Nguyen et al [97], the Poisson equation with jump conditions in Liu et al [78], free surface flows in Enright et al [40], as well as in computer graphics [96,39]. It was developed for the Poisson and the diffusion equations on irregular domains with Dirichlet boundary conditions and their applications in Gibou et al [47,45,44,46]. In what follows, we describe the algorithms, point out common misconceptions and describe how to properly implement those methods.…”

Section: The Ghost-fluid Methods For the Diffusion And The Poisson Equmentioning

confidence: 99%

See 1 more Smart Citation

High Resolution Sharp Computational Methods for Elliptic and Parabolic Problems in Complex Geometries

2012

Self Cite

View full text Add to dashboard Cite

We present a review of some of the state-of-the-art numerical methods for solving the Stefan problem and the Poisson and the diffusion equations on irregular domains using (i) the level-set method for representing the (possibly moving) irregular domain's boundary, (ii) the ghost-fluid method for imposing the Dirichlet boundary condition at the irregular domain's boundary and (iii) a quadtree/octree nodebased adaptive mesh refinement for capturing small length scales while significantly reducing the memory and CPU footprint. In addition, we highlight common misconceptions and describe how to properly implement these methods. Numerical experiments illustrate quantitative and qualitative results.

show abstract

Section: The Ghost-fluid Methods For the Diffusion And The Poisson Equmentioning

confidence: 99%

“…[33] and the references therein). It is also used as a component for the study of vaporization processes [156,35,44,145,153,146,131,132,133,134]. In addition, this model is applicable to a wide variety of other applications, including epitaxial growth [23,116].…”

Section: Introductionmentioning

confidence: 99%

High Resolution Sharp Computational Methods for Elliptic and Parabolic Problems in Complex Geometries

2012

Self Cite

View full text Add to dashboard Cite

show abstract

“…The effect of superheat and saturation pressure on the frequency of bubble formation were analyzed with this approach. The work in [10] used the ghost fluid and the level set methods for phase change simulations. A similar approach was adopted in [11] to study various boiling problems including three-dimensional film boiling on a horizontal cylinder, nucleate boiling in microcavity [12] and flow boiling in a finned microchannel [13].…”

mentioning

confidence: 99%

Direct numerical simulation of incompressible multiphase flow with phase change

Lee

Riaz

Aute

2017

Journal of Computational Physics

View full text Add to dashboard Cite

Phase change problems arise in many practical applications such as air-conditioning and refrigeration, thermal energy storage systems and thermal management of electronic devices.The physical phenomenon in such applications are complex and are often difficult to be studied in detail with the help of only experimental techniques. The efforts to improve computational techniques for analyzing two-phase flow problems with phase change are therefore gaining momentum.The development of numerical methods for multiphase flow has been motivated generally by the need to account more accurately for (a) large topological changes such as phase breakup and merging, (b) sharp representation of the interface and its discontinuous properties and (c) accurate and mass conserving motion of the interface. In addition to these considerations, numerical simulation of multiphase flow with phase change introduces additional challenges related to discontinuities in the velocity and the temperature fields. Moreover, the velocity field is no longer divergence free. For phase change problems, the focus of developmental efforts has thus been on numerically attaining a proper conservation of energy across the interface in addition to the accurate treatment of fluxes of mass and momentum conservation as well as the associated interface advection.Among the initial efforts related to the simulation of bubble growth in film boiling applications the work in [1] was based on the interface tracking method using a moving unstructured mesh. That study considered moderate interfacial deformations. A similar problem was subsequently studied using moving, boundary fitted grids Among the front capturing methods, sharp interface methods have been found to be particularly effective both for implementing sharp jumps and for resolving the interfacial velocity field. However, sharp velocity jumps render the solution susceptible to erroneous oscillations in pressure and also lead to spurious interface velocities. To implement phase change, the work in [16] employed point mass source terms derived from a physical basis for the evaporating mass flux. To avoid numerical instability, the authors smeared the mass source by solving a pseudo time-step diffusion equation. This measure however led to mass conservation issues due to non-symmetric integration over the distributed mass source region. The problem of spurious pressure oscillations related to point mass sources was also investigated by [17]. Although their method is based on the VOF, the large pressure peaks associated with sharp mass source was observed to be similar to that for the interface tracking method.Such spurious fluctuation in pressure are essentially undesirable because the effect is globally transmitted in incompressible flow. Hence, the pressure field formation due to phase change need to be implemented with greater accuracy than is reported in current literature.The accuracy of interface advection in the presence of interfacial mass flux (mass flux conservation) has been discussed in [14,18]. ...

show abstract

“…To some extent, it impedes the prominent trends of miniaturization of electronic devices, which is essential for NEMS/MEMS. Although a few models had been proposed/implemented to enable the simulation of boiling in CFD code and obtains reasonable results [1][2][3], almost none of them has considered the complex interactions between micro structures and the surrounding fluid from the atomistic level, which are critical for bubble nucleation on solid surface.…”

Section: Background and Literature Reviewmentioning

confidence: 99%

Hybrid atomistic-continuum simulation of nucleate boiling with a domain re-decomposition method

Zhang

Mao

Chen

et al. 2017

Numerical Heat Transfer, Part B: Fundamentals

View full text Add to dashboard Cite

A level set based sharp interface method for the multiphase incompressible Navier–Stokes equations with phase change

Cited by 306 publications

References 31 publications

High Resolution Sharp Computational Methods for Elliptic and Parabolic Problems in Complex Geometries

High Resolution Sharp Computational Methods for Elliptic and Parabolic Problems in Complex Geometries

Direct numerical simulation of incompressible multiphase flow with phase change

Hybrid atomistic-continuum simulation of nucleate boiling with a domain re-decomposition method

Contact Info

Product

Resources

About