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The displacement of a more viscous fluid by a less viscous immiscible fluid in confined geometries is a fundamental problem in multiphase flows. Recent experiments have shown that such fluid-fluid displacement in micro-capillary tubes can…

Fluid Dynamics · Physics 2025-12-01 Sthavishtha R. Bhopalam , Ruben Juanes , Hector Gomez

Multiphase systems are ubiquitous in engineering, biology, and materials science, where understanding their complex interactions and rheological behavior is crucial for advancing applications ranging from emulsion stability to cellular…

Fluid Dynamics · Physics 2025-10-27 Andres Santiago Espinosa-Moreno , Nicolas Moreno , Marco Ellero

In this article, we propose a novel conservative diffuse-interface method for the simulation of immiscible compressible two-phase flows. The proposed method discretely conserves the mass of each phase, momentum and total energy of the…

Computational Physics · Physics 2020-06-11 Suhas S. Jain , Ali Mani , Parviz Moin

Experimental and numerical investigations are performed to provide an assessment of the transport behavior of an ultrasonic oscillatory two-phase flow in a microchannel. The work is inspired by the flow observed in an innovative ultrasonic…

Fluid Dynamics · Physics 2021-03-31 Zhaokuan Lu , Eric D. Dupuis , Viral K. Patel , Ayyoub M. Momen , Shima Shahab

We present a method to simulate fluid flow on evolving surfaces, e.g., an oil film on a water surface. Given an animated surface (e.g., extracted from a particle-based fluid simulation) in three-dimensional space, we add a second simulation…

Graphics · Computer Science 2020-10-08 Dieter Morgenroth , Stefan Reinhardt , Daniel Weiskopf , Bernhard Eberhardt

One of the principal mechanisms by which surfaces and interfaces affect microbial life is by perturbing the hydrodynamic flows generated by swimming. By summing a recursive series of image systems we derive a numerically tractable…

Soft Condensed Matter · Physics 2016-10-12 Arnold J. T. M. Mathijssen , Amin Doostmohammadi , Julia M. Yeomans , Tyler N. Shendruk

We computationally study the flow of Newtonian fluids through sinusoidal expansion-contraction microchannels at low Reynolds number. We first use a perturbation method to analytically derive series solutions for the stream function and…

Shearing transitions of multi-layer molecularly thin-film lubrication systems in variations of the film-substrate coupling strength and the load are studied by using a multiscale method. Three kinds of the interlayer slips found in…

Chemical Physics · Physics 2017-06-07 Zuo-Bing Wu , X. C. Zeng

In this paper, we present a new model to simulate the formation, evolution, and break up of a thin film of fluid flowing over a curved surface. Referred to as the discrete droplet method (DDM), the model captures the evolution of thin fluid…

Fluid Dynamics · Physics 2022-10-20 Anand S Bharadwaj , Joerg Kuhnert , Stephane P. A. Bordas , Pratik Suchde

This paper presents a method for modelling interfacial mass transfer in Interface Capturing simulations of two-phase flow with phase change. The model enables mechanistic prediction of the local rate of phase change at the vapour-liquid…

Fluid Dynamics · Physics 2021-08-25 G. Giustini , R. I. Issa , M. J. Bluck

Many multiscale wave systems exhibit macroscale emergent behaviour, for example, the fluid dynamics of floods and tsunamis. Resolving a large range of spatial scales typically requires a prohibitively high computational cost. The small…

Numerical Analysis · Mathematics 2023-06-21 J. Divahar , A. J. Roberts , Trent W. Mattner , J. E. Bunder , Ioannis G. Kevrekidis

We present the results of large scale simulations of 4th order nonlinear partial differential equations of dif- fusion type that are typically encountered when modeling dynamics of thin fluid films on substrates. The simulations are based…

Fluid Dynamics · Physics 2018-06-28 Michael-Angelo Y. -H. Lam , Linda J. Cummings , Lou Kondic

Detailed understanding of the coupling between fluid flow and solid deformation in porous media is crucial for the development biomedical devices and novel energy technologies relating to a wide range of geological and biological processes.…

Fluid Dynamics · Physics 2021-09-22 Francisco J. Carrillo

Modeling the mechanics of fluid in complex scenes is vital to applications in design, graphics, and robotics. Learning-based methods provide fast and differentiable fluid simulators, however most prior work is unable to accurately model how…

Machine Learning · Computer Science 2023-09-12 Arjun Mani , Ishaan Preetam Chandratreya , Elliot Creager , Carl Vondrick , Richard Zemel

We propose a multi-layer approach to simulate hyperpycnal and hypopycnal plumes in flows with free surface. The model allows to compute the vertical profile of the horizontal and the vertical components of the velocity of the fluid flow.…

Fluid Dynamics · Physics 2017-05-16 T. Morales de Luna , E. D. Fernández-Nieto , M. J. Castro Díaz

Our goal was to develop a robust algorithm for numerical simulation of one-dimensional shallow-water flow in a complex multiply-connected channel network with arbitrary geometry and variable topography. We apply a central-upwind scheme with…

Numerical Analysis · Mathematics 2020-04-07 Sergii Kivva , Mark Zheleznyak , Alexander Pilipenko , Vasyl Yoschenko

We introduce Neural Flow Maps, a novel simulation method bridging the emerging paradigm of implicit neural representations with fluid simulation based on the theory of flow maps, to achieve state-of-the-art simulation of inviscid fluid…

Graphics · Computer Science 2023-12-25 Yitong Deng , Hong-Xing Yu , Diyang Zhang , Jiajun Wu , Bo Zhu

The present paper deals with the problem of improving the efficiency of large scale turbulent flow simulations. The high-fidelity methods for modelling turbulent flows become available for a wider range of applications thanks to the…

Computational Physics · Physics 2018-04-10 Boris Krasnopolsky

This note reports on a scheme for interpolating the boundary conditions be- tween non-adjacent modeling regions when the model is based on Monte-Carlo computations of a collection of particles. The scheme conserves particles in a natural…

Computational Physics · Physics 2007-05-23 C. W. Gear , Ioannis G. Kevrekidis

We present an experimental investigation of the agglomeration of microbubbles into a 2D microfoam and its flow in a rectangular microchannel. Using a flow-focusing method, we produce the foam in situ on a microfluidic chip for a large range…

Fluid Dynamics · Physics 2009-11-11 Jan-Paul Raven , Philippe Marmottant , François Graner