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A continuum method for modeling surface tension

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In this paper, a force density proportional to the surface curvature of constant color is defined at each point in the transition region; this force-density is normalized in such a way that the conventional description of surface tension on an interface is recovered when the ratio of local transition-reion thickness to local curvature radius approaches zero.
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This article is published in Journal of Computational Physics.The article was published on 1992-06-01. It has received 7863 citations till now. The article focuses on the topics: Capillary surface & Capillary length.

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Numerical simulations of wave breaking

TL;DR: In this paper, the authors present the results of a numerical workshop that was held during the conference LOMA04 and compare several mathematical models (compressible or incompressible) and associated numerical methods to compute the flow field during a wave breaking over a reef.
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Discrete phase simulation of gas–liquid–solid fluidization systems: single bubble rising behavior

TL;DR: In this article, a computational scheme for discrete-phase simulation of a gas-liquid-solid fluidization system and a two-dimensional code based on it is developed, which is used to account for the flow of liquid, solid particles, and gas bubbles respectively.
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The influence of density ratio on the primary atomization of a turbulent liquid jet in crossflow

TL;DR: In this article, the impact of density ratio on turbulent liquid jet in crossflow penetration and atomization was studied, assuming all other characteristic parameters, i.e., momentum flux ratio, jet and crossflow Weber and Reynolds numbers, are maintained constant.
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Direct numerical simulation of wall-to liquid heat transfer in dispersed gas–liquid two-phase flow using a volume of fluid approach

TL;DR: In this paper, a simulation model is presented for the direct numerical simulation (DNS) of wall-to-liquid heat transfer in dispersed gas-liquid two-phase flow using a volume of fluid (VOF) approach.
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On Derivation and Physical Interpretation of Level Set Method–Based Equations for Two-Phase Flow Simulations

TL;DR: In this article, the mass and volume conservation law-based derivation of the LS advection equation and the continuity equation for two-phase flow with phase change is presented.
References
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Volume of fluid (VOF) method for the dynamics of free boundaries

TL;DR: In this paper, the concept of a fractional volume of fluid (VOF) has been used to approximate free boundaries in finite-difference numerical simulations, which is shown to be more flexible and efficient than other methods for treating complicated free boundary configurations.
Book

An Introduction to Fluid Dynamics

TL;DR: The dynamique des : fluides Reference Record created on 2005-11-18 is updated on 2016-08-08 and shows improvements in the quality of the data over the past decade.
Book

A practical guide to splines

Carl de Boor
TL;DR: This book presents those parts of the theory which are especially useful in calculations and stresses the representation of splines as linear combinations of B-splines as well as specific approximation methods, interpolation, smoothing and least-squares approximation, the solution of an ordinary differential equation by collocation, curve fitting, and surface fitting.
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An Introduction to Fluid Dynamics. By G. K. Batchelor. Pp. 615. 75s. (Cambridge.)

TL;DR: In this paper, the Navier-Stokes equation is derived for an inviscid fluid, and a finite difference method is proposed to solve the Euler's equations for a fluid flow in 3D space.
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Numerical Calculation of Time‐Dependent Viscous Incompressible Flow of Fluid with Free Surface

TL;DR: In this paper, a new technique is described for the numerical investigation of the time-dependent flow of an incompressible fluid, the boundary of which is partially confined and partially free The full Navier-Stokes equations are written in finite-difference form, and the solution is accomplished by finite-time step advancement.
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