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An interface between two miscible fluids is transient, existing as a non-equilibrium state before complete molecular mixing is reached. However, during the existence of such an interface, which typically be at short timescales, composition…

A comprehensive scheme for the spatial discretisation of continuity equation, momentum advection and normal and shear stresses at the fluid interfaces is presented for numerically simulating the incompressible two phase flows based on the…

Fluid Dynamics · Physics 2014-08-11 Jun-De Li

We study the role of the capillary number, $Ca$ and of the surface wettability on the dynamics of the interface between an invading and a defending phase in a porous medium by means of numerical simulations. We employ a hybrid phase…

Four different numerical approaches are compared for the rise of liquid between two parallel plates. These are an Arbitrary Lagrangian-Eulerian method (OpenFOAM solver interTrackFoam), a geometric volume of fluid code (FS3D), an algebraic…

Numerical Analysis · Mathematics 2020-06-11 D. Gründing , M. Smuda , T. Antritter , M. Fricke , D. Rettenmaier , F. Kummer , P. Stephan , H. Marschall , D. Bothe

The numerical modelling of convection dominated high density ratio two-phase flow poses several challenges, amongst which is resolving the relatively thin shear layer at the interface. To this end we propose a sharp discretisation of the…

Numerical Analysis · Mathematics 2022-09-30 Ronald A. Remmerswaal , Arthur E. P. Veldman

A localised overpressure translating at a uniform speed greater than a critical value acts at the interface between two deep fluid layers with different densities. We analyse the resulting wave patterns using an initial-value problem…

Fluid Dynamics · Physics 2026-05-13 Vinod Kumar Kadari , Nikhil Yewale , Palas Kumar Farsoiya , Y. S. Mayya , Ratul Dasgupta

An effective means for analyzing the impact of novel operating schemes on power systems is time domain simulation, for example for investigating optimization-based curtailment of renewables to alleviate voltage violations. Traditionally,…

Optimization and Control · Mathematics 2016-07-27 Sandro Merkli , Alexander Domahidi , Juan Jerez , Manfred Morari , Roy S. Smith

Interfaces in phase-separated driven liquids are one example of how energy input at the single-particle level changes the long-length-scale material properties of nonequilibrium systems. Here, we measure interfacial fluctuations in…

Statistical Mechanics · Physics 2019-03-27 Clara del Junco , Suriyanarayanan Vaikuntanathan

Conjugate scalar transport with interfacial jump conditions on complex interfacial geometries is common in thermal and chemical processes, while its accurate and efficient simulations are still quite challenging. In the present study, a…

Computational Physics · Physics 2026-01-16 Ming Liu , Yosuke Hasegawa

We perform high-order simulations of two-phase flows in capillaries, with and without evaporation. Since a sharp-interface model is used, singularities can arise at the three-phase contact line, where the fluid-fluid interface interacts…

Fluid Dynamics · Physics 2025-02-14 Irina Shishkina , Matthias Rieckmann , Martin Oberlack , Florian Kummer

A wide variety of interface capturing methods have been introduced for simulating two-phase flows throughout the years. However, there is a noticeable dearth of literature focusing on objective comparisons between these methods, especially…

Fluid Dynamics · Physics 2019-10-11 Shahab Mirjalili , Christopher Blake Ivey , Ali Mani

Surface tension-driven flow techniques have recently emerged as an efficient means of shedding light into the rheology of thin polymer films. Motivated by experimental and theoretical approaches in films bearing a varying surface…

Soft Condensed Matter · Physics 2017-04-26 Ioannis Tanis , Hendrik Meyer , Thomas Salez , Elie Raphaël , Anthony C. Maggs , Jörg Baschnagel

We study three different time integration methods for a dynamic pore network model for immiscible two-phase flow in porous media. Considered are two explicit methods, the forward Euler and midpoint methods, and a new semi-implicit method…

Computational Physics · Physics 2018-07-03 Magnus Aa. Gjennestad , Morten Vassvik , Signe Kjelstrup , Alex Hansen

This paper presents a topology optimization approach for surface flows, which can represent the viscous and incompressible fluidic motions at the solid/liquid and liquid/vapor interfaces. The fluidic motions on such material interfaces can…

Computational Physics · Physics 2020-05-18 Yongbo Deng , Weihong Zhang , Jihong Zhu , Junqiang Bai , Zhenyu Liu , Jan G. Korvink

Direct numerical simulations of interfacial flows with surfactant-induced complexities involving surface viscous stresses are performed within the framework of the Level Contour Reconstruction Method (LCRM); this hybrid…

A computational framework is developed to address capillary self-focusing in Step Emulsification. The microfluidic system consists of a single shallow and wide microchannel that merges into a deep reservoir. A continuum approach coupled…

Fluid Dynamics · Physics 2016-11-23 M. Hein , R. Seemann , S. Afkhami

In this paper we show and discuss the use of a versatile interaction potential approach coupled with an immersed boundary method to simulate a variety of flows involving deformable bodies. In particular, we focus on two kinds of problems,…

Volume of fluid(VOF) method is a sharp interface method employed for simulations of two phase flows. Interface in VOF is usually represented using piecewise linear line segments in each computational grid based on the volume fraction field.…

Computational Physics · Physics 2021-02-02 Ananthan M , Gaurav Tomar

A new parallelized unsplit geometrical Volume of Fluid (VoF) algorithm with support for arbitrary unstructured meshes and dynamic local Adaptive Mesh Refinement (AMR), as well as for two and three dimensional computation is developed. The…

Fluid Dynamics · Physics 2013-05-16 Tomislav Maric , Holger Marschall , Dieter Bothe

In this paper, we extend a lattice Boltzmann equation (LBE) with continuous surface fore (CSF) to simulate thermocapillary flows. The model is designed on our previous CSF LBE for athermal two phase flow, in which the interfacial tension…

Computational Physics · Physics 2014-12-22 Lin Zheng , Song Zheng , Qinglan Zhai
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