A Level Set Method for Analysis of Film Boiling on an Immersed Solid Surface

Son, Gihun; Dhir, Vijay K.

doi:10.1080/10407790701347720

Cited by 103 publications

(37 citation statements)

References 30 publications

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“…Furthermore, to guarantee the mass conservation of the bubble the following Hamilton-Jacobi equation is also solved to steady state periodically during simulation (Son and Dhir 2007) …”

Section: Mathematical Formulation and Numerical Methodsmentioning

confidence: 99%

Thermocapillary Migration of Deformable Bubbles at Moderate to Large Marangoni Number in Microgravity

Zhao

et al. 2010

Microgravity Sci. Technol.

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Using the level-set method and the continuum interface model, the axisymmetric thermocapillary migration of gas bubbles in an immiscible bulk liquid with a temperature gradient at moderate to large Marangoni number is simulated numerically. Constant material properties of the two phases are assumed. Steady state of the motion can always be reached. The terminal migration velocity decreases monotonously with the increase of the Marangoni number due to the wrapping of isotherms around the front surface of the bubble. Good agreements with space experimental data and previous theoretical and numerical studies in the literature are evident. Slight deformation of bubble is observed, but no distinct influence on the motion occurs. It is also found that the influence of the convective transport of heat inside bubbles cannot be neglected at finite Marangoni number, while the influence of the convective transport of momentum inside bubbles may be actually negligible.

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“…Furthermore, to guarantee the mass conservation of the bubble the following Hamilton-Jacobi equation is also solved to steady state periodically during simulation (Son and Dhir 2007) …”

Section: Mathematical Formulation and Numerical Methodsmentioning

confidence: 99%

Thermocapillary Migration of Deformable Bubbles at Moderate to Large Marangoni Number in Microgravity

Zhao

et al. 2010

Microgravity Sci. Technol.

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“…Similar methods have been adopted using level set method by Lou et al [45] and by Son and Dhir in [46]. The ghost fluid method has showed very promising results in coupling the interface jump condition sharply without numerical oscillation.…”

Section: On the Interface Jump Capturing Schemementioning

confidence: 99%

Direct numerical simulation of incompressible multiphase flow with phase change

Lee

Riaz

Aute

2017

Journal of Computational Physics

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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]. ...

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“…[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

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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.

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A Level Set Method for Analysis of Film Boiling on an Immersed Solid Surface

Cited by 103 publications

References 30 publications

Thermocapillary Migration of Deformable Bubbles at Moderate to Large Marangoni Number in Microgravity

Thermocapillary Migration of Deformable Bubbles at Moderate to Large Marangoni Number in Microgravity

Direct numerical simulation of incompressible multiphase flow with phase change

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

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