A simple algebraic interface capturing scheme using hyperbolic tangent function

Xiao, Feng; Honma, Yoshihiko; Kono, Takaaki

doi:10.1002/fld.975

Cited by 387 publications

(211 citation statements)

References 30 publications

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“…Of those methods, the tangent of hyperbola for interface capturing (THINC; Xiao et al [23]) scheme with the weighed line interface calculation (WLIC; Yokoi [24]) method is used in the present computation. After calculating the volumefraction function for the solid phase, which will be explained in the next section, the volume-fraction function of the air phase can be obtained from a simple constraint, i.e., the sum of the volume-fraction functions is equal to one in each grid.…”

Section: Flow Solvermentioning

confidence: 99%

“…In the present numerical method, a first-order fractional step method was applied for velocity-pressure coupling, and the tangent of hyperbola for interface capturing (THINC) scheme [23] was used along with a weighted line interface calculation (WLIC) method [24] as a fluid interface capturing method. A solid body was embedded in a Cartesian grid, and a signed distance function was calculated in each computational grid to determine the volume fraction of the body inside a grid.…”

Section: Introductionmentioning

confidence: 99%

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Numerical analysis of added resistance on blunt ships with different bow shapes in short waves

Yang

Kim

2016

J Mar Sci Technol

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In this paper, a Cartesian-grid method is applied to investigate the added resistance of KRISO's very large crude oil carrier hull with a different bow, particularly in short incident waves. The wavelength is fixed as half of the ship length in all computations. In the present numerical method, a first-order fractional-step method is applied to the velocity-pressure coupling in the fluid domain, and the volume-of-fluid method is adopted to capture the fluid interface. The ship is embedded in a Cartesian grid, and the volume fraction of the ship inside the grid is calculated to identify the different phases in each grid. The sensitivity of the time window during post-processing as well as the number of solution grids is investigated. The computed added resistance is compared with experimental data. In addition, the characteristics of the surge force for different wave amplitudes are observed by comparing the wave elevation around the bow. Further, to compare the relative magnitude of higher harmonic components with respect to the magnitude of the first harmonic component, harmonic analyses of the time history of the surge force are performed. Based on the present numerical results, the effects of the wave amplitude and bow shape on added resistance for a short wavelength are observed. Finally, the distribution characteristics of time-averaged added pressure on the ship surface are investigated for each bow shape and wave amplitude.

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Section: Flow Solvermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Numerical analysis of added resistance on blunt ships with different bow shapes in short waves

Yang

Kim

2016

J Mar Sci Technol

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“…This can be accomplished by blending the baseline higher-order scheme (TVD or PPM) with a bounded downwind differencing scheme, such as THINC [29] or CICSAM [30]. THINC (Tangent of Hyperbola Interface Capturing) uses the tangent hyperbola function as a model function for a discontinuous volume (or mass) fraction within a mesh cell.…”

Section: Sharp Interface Capturingmentioning

confidence: 99%

Computational Simulation of High-Speed Projectiles in Air, Water, and Sand

Edwards¹

2007

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The public reporting burden for this collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing the collection of information. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggestions for reducing the burden, SPONSORING/MONITORING AGENCY NAME(S) AND ADDRESS(ES) 10. SPONSOR/MONITOR'S ACRONYM(S)Office of Naval Research North Randolph StreetArlington, VA 22203-1995 SPONSOR/MONITOR'S REPORT NUMBER(S) DISTRIBUTION/AVAILABILITY STATEMENTApproved for Public Release; distribution is Unlimited SUPPLEMENTARY NOTES ABSTRACTThe development of a comprehensive computational fluid dynamics approach for conducting simulations of projectile penetration into water-saturated sand is reported. High resolution upwind schemes suitable for a fluid dynamic system consisting of gas. liquid. and dispersed solids phases are derived and are combined with a time-derivative preconditioning strategy for efficient time integration at all flow speeds. A solids-stress model based on Mohr-Coulomb critical-state theory is used to account for compaction and deformation of sand during projectile penetration. An overset-mesh framework is also implemented in order to handle projectile relative motion in subsequent work, and improved phase interface capturing methods are also developed and tested. Results are presented for two sets of experimental data involving projectile penetration into dry sand. The computational results are sensitive to the solids-stress model and the drag coefficient predictions are generally lower than indicated in the experimental data. SUBJECT TERMSSurf-zone clearance, two-phase flow models, granular stress tensor, AbstractThe development of a comprehensive computational fluid dynamics approach for conducting simulations of projectile penetration into water and dry sand is reported. High resolution upwind schemes suitable for a fluid dynamic system consisting of gas, liquid, and dispersed solids phases are derived and are combined with a time-derivative preconditioning strategy for efficient time integration at all flow speeds. A solids-stress model based on Mohr-Coulomb critical-state theory is used to account for compaction and deformation of sand during projectile penetration. An overset-mesh framework is also implemented in order to handle projectile relative motion in subsequent work, and improved phase interface capturing methods are also developed and tested. Results are presented for two sets of experimental data involving projectile penetration into dry sand. The computational results are sensitive to the solids-stress model and the drag coefficient predictions are generally lower than indicated in the experimental data.

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“…Among many variations of the VOF method, CICSAM, which was first suggested by Ubbink and Issa [4], is adopted for the FV-based method, because this method is flexible enough to apply an unstructured grid system and to appropriately retain the transitional region between the two fluids during the long-time simulations. Recently, Xiao et al [5] developed the tangent of hyperbola for interface capturing (THINC) scheme, showing good performance compared with the other interface capturing methods, even when compared with a very simple algorithm. This method is adapted for the CIP-based method.…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation of 3D Free-Surface Flows by Using CIP-based and FV-based Methods

Yang¹,

Nam²,

Kim³

2011

International Journal of Ocean System Engineering

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In this paper, three-dimensional free-surface flows are simulated by using two different numerical methods, the constrained interpolation profile (CIP)-based and finite volume (FV)-based methods. In the CIP-based method, the governing equations are solved on stationary staggered Cartesian grids by a finite difference method, and an immersed boundary technique is applied to deal with wave-body interactions. In the FV-based method, the governing equations are solved by applying collocated finite volume discretization, and body-fitted meshes are used. A free-surface boundary is considered as the interface of the multi-phase flow with air and water, and a volumeof-fluid (VOF) approach is applied to trace the free surface. Among many variations of the VOF-type method, the tangent of hyperbola for interface capturing (THINC) and the compressive interface capturing scheme for arbitrary meshes (CICSAM) techniques are used in the CIP-based method and FV-based method, respectively. Numerical simulations have been carried out for dam-breaking and wave-body interaction problems. The computational results of the two methods are compared with experimental data and their differences are observed.

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A simple algebraic interface capturing scheme using hyperbolic tangent function

Cited by 387 publications

References 30 publications

Numerical analysis of added resistance on blunt ships with different bow shapes in short waves

Numerical analysis of added resistance on blunt ships with different bow shapes in short waves

Computational Simulation of High-Speed Projectiles in Air, Water, and Sand

Numerical Simulation of 3D Free-Surface Flows by Using CIP-based and FV-based Methods

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