The Constrained Interpolation Profile Method for Multiphase Analysis

Yabe, Takashi; Xiao, Feng; Utsumi, Takayuki

doi:10.1006/jcph.2000.6625

Cited by 622 publications

(363 citation statements)

References 66 publications

(83 reference statements)

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“…The main difficulty in using these methods is the maintenance of a sharp boundary between two phases and the computation of surface tension. Further developments to the methods that capture fluid interfaces on a fixed grid include the CIP (3) method and the phase field method (4) , etc.…”

Section: Introductionmentioning

confidence: 99%

A hybrid particle-mesh method for viscous, incompressible, multiphase flows

Liu

Koshizuka

Oka

2005

Journal of Computational Physics

119

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A hybrid method to simulate unsteady multiphase flows is described. One phase is represented by moving particles and the other phase is defined on stationary mesh. The flow field is discretized by a conservative finite volume approximation on the stationary mesh, and the interface is automatically captured by the distribution of particles moving through the stationary mesh. The effects of surface tension and wall adhesion are evaluated by the Continuum Surface Force (CSF) model. The method simplifies the calculation of interface interaction, enables accurate modeling of twoand three-dimensional multiphase flows.

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Section: Introductionmentioning

confidence: 99%

A hybrid particle-mesh method for viscous, incompressible, multiphase flows

Liu

Koshizuka

Oka

2005

Journal of Computational Physics

119

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“…The numerical procedure (CIP-CUP method) is based on the CIP (Cubic Interpolated Pseudo-particle or Constrained Interpolation Profile) method (Takewaki et al, 1985), combined with its extension to both incompressible and compressible flows by the CUP (Combined and Unified Procedure) method (Yabe et al, 2001). …”

Section: Interface-capturing Numerical Methodsmentioning

confidence: 99%

“…The third-order scheme uses a third-order polynomial curve fitting for both flow variables and their derivatives to solve advection (Takewaki et al, 1985;Yabe et al, 2001). In the non-advective and acoustic phases,…”

Section: Interface-capturing Numerical Methodsmentioning

confidence: 99%

See 1 more Smart Citation

Modeling Temperature Distribution Inside an Emulsion Fuel Droplet Under Convective Heating: A Key to Predicting Microexplosion and Puffing

et al. 2016

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Microexplosion/puffing is rapid disintegration of a water-in-oil emulsion droplet caused by explosive boiling of embedded superheated water sub-droplets. To predict microexplosion/puffing, modeling the temperature distribution inside an emulsion droplet under convective heating is a prerequisite, since the temperature field determines the location of nucleation (vapor bubble initiation from superheated water). In the first part of the present study, convective heating of water-in-oil emulsion droplets under typical combustor conditions is investigated using high-fidelity simulation in order to accurately model inner-droplet temperature distribution. The shear force due to the ambient air flow induces internal circulation inside a droplet. It has been found that for droplets under investigation in the present study, the liquid Peclet number PeL is in a transitional regime of 100

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“…Among others, a class of conservative semi-Lagrangian schemes, which follow the underlying concept of the CIP (Cubic Polynomial Interpolation [2] or more generally Constrained Interpolation Profile [3]) method and are so-called CIP (Constrained Interpolation Profile) Conservative Semi-Lagrangian (CIP-CSL) schemes, were proposed in [4][5][6][7][8] by introducing multi moments [9,10] as the computational variables. A convenient and efficient transport model with numerical conservation can be constructed by making use of two kinds of moments, i.e.…”

Section: Introductionmentioning

confidence: 99%

A multi‐moment transport model on cubed‐sphere grid

Xiao

et al. 2010

Numerical Methods in Fluids

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SUMMARYA conservative, single-cell-based semi-Lagrangian transport model is proposed in this paper. Using multimoment concept, an additional moment, i.e. volume-integrated average (VIA), is treated as the model variable besides the point value (PV) updated in the traditional semi-Lagrangian schemes. A quadratic interpolation function is constructed based on local degrees of freedom defined within each single cell. The PV moment is advanced by the semi-Lagrangian formulation, whereas the VIA moment is updated by a finite volume formulation to rigorously ensure the numerical conservation. The numerical fluxes are computed from the PV moments defined along the boundary edges of the control volume. The scheme is extended to the spherical geometry through the application of the cubed-sphere grid that eliminates the polar singularity in the conventional longitude/latitude coordinates by using the quasi-uniform grid spacing covering the whole sphere. The single-cell-based scheme is well suited for the treatment of the connections between different patches. A simple quasi-monotone limiter to the PV moment is applied to suppress non-physical oscillations. The proposed scheme has been validated via representative benchmark tests and the performance is competitive to other existing transport schemes.

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The Constrained Interpolation Profile Method for Multiphase Analysis

Cited by 622 publications

References 66 publications

A hybrid particle-mesh method for viscous, incompressible, multiphase flows

A hybrid particle-mesh method for viscous, incompressible, multiphase flows

Modeling Temperature Distribution Inside an Emulsion Fuel Droplet Under Convective Heating: A Key to Predicting Microexplosion and Puffing

A multi‐moment transport model on cubed‐sphere grid

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