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This paper aims to use the unified bubble dynamics equation to investigate bubble behavior in complex scenarios involving hybrid free surface/wall boundaries and interactions between multiple bubbles. The effect of singularity movement on…

Fluid Dynamics · Physics 2023-10-10 Zhang A-Man , Li Shi-Min , Cui Pu , Li Shuai , Liu Yun-Long

The flow near a moving contact line depends on the dynamic contact angle, viscosity ratio, and capillary number. We report experiments involving immersing a plate into a liquid bath, concurrently measuring the interface shape, interfacial…

Fluid Dynamics · Physics 2024-12-04 Charul Gupta , Anjishnu Choudhury , Lakshmana D Chandrala , Harish N Dixit

This is a fluid dynamics video of two- and three-dimensional computational fluid dynamics simulations carried out at St. Anthony Falls Laboratory. A transient hydraulic jump is simulated using OpenFOAM, an open source numerical solver. A…

Fluid Dynamics · Physics 2013-10-11 Adam Witt , John Gulliver , Lian Shen

We investigate interfacial properties between two highly incompatible polymers of different stiffness. The extensive Monte Carlo simulations of the binary polymer melt yield detailed interfacial profiles and the interfacial tension via an…

Statistical Mechanics · Physics 2009-10-30 Marcus Mueller , Andreas Werner

[Abridged]We present high-resolution three-dimensional direct numerical simulations of breaking waves solving the two-phase Navier-Stokes equations. We investigate the role of the Reynolds and Bond numbers on the energy, bubble and droplet…

Fluid Dynamics · Physics 2022-06-08 Wouter Mostert , Stéphane Popinet , Luc Deike

When a drop impacts a solid substrate or a thin liquid film, a thin gas disc is entrapped due to surface tension, the gas disc retracts into one or several bubbles. While the evolution of the gas disc for impact on solid substrate or film…

Fluid Dynamics · Physics 2025-12-09 Pierre-Antoine Maës , Alidad Amirfazli , Christophe Josserand

The hydrodynamics of bubble columns in the heterogeneous regime is revisited. Focusing on air-water systems at large aspect ratio, we show from dimensional analysis that buoyancy equilibrates inertia, and that velocities scale as…

Fluid Dynamics · Physics 2022-12-07 Y. Mezui , M. Obligado , Alain Cartellier

This work outlines a new multi-physics-compatible immersed rigid body method for Eulerian finite-volume simulations. To achieve this, rigid bodies are represented as a diffuse scalar field and an interface seeding method is employed to…

Computational Physics · Physics 2022-03-15 Tim Wallis , Philip Barton , Nikolaos Nikiforakis

Buoyancy-induced (Rayleigh-Benard) convection of a fluid between two horizontal plates is a central paradigm for studying the transition to complex spatiotemporal dynamics in sustained nonequilibrium systems. To improve the analysis of…

Pattern Formation and Solitons · Physics 2007-05-23 M. C. Lai , K. H. Chiam , M. C. Cross , H. S. Greenside

We study the one-dimensional Cahn-Hilliard equation with an additional driving term representing, say, the effect of gravity. We find that the driving field $E$ has an asymmetric effect on the solution for a single stationary domain wall…

Condensed Matter · Physics 2009-10-28 C. L. Emmott , A. J. Bray

We study the rising dynamics of a bubble driven into periodic volumetric oscillations by an external pressure driving within a highly viscous shear-thinning fluid. We perform axisymmetric direct numerical simulations employing the…

Fluid Dynamics · Physics 2025-12-01 Mario Riccio , Marco De Corato

We show short-time well-posedness of a diffuse interface model describing the flow of a fluid through a deformable porous medium consisting of two phases. The system non-linearly couples Biot's equations for poroelasticity, including…

Analysis of PDEs · Mathematics 2026-05-01 Helmut Abels , Jonas Haselböck

We propose to model physical effects at the sharp density interface between atmosphere and ocean with the help of diffuse interface approaches for multiphase flows with variable densities. We use the variable-density model proposed in…

Numerical Analysis · Mathematics 2016-07-28 Harald Garcke , Michael Hinze , Christian Kahle

We have performed quantum Monte Carlo simulations to investigate the superfluid behavior of one- and two-dimensional interfaces separating checkerboard solid domains. The system is described by the hard-core Bose-Hubbard Hamiltonian with…

Other Condensed Matter · Physics 2009-11-13 Ş. G. Söyler , B. Capogrosso-Sansone , N. V. Prokof'ev , B. V. Svistunov

We consider a diffuse interface model describing a ternary system constituted by a conductive diblock copolymer and a homopolymer acting as solvent. The resulting dynamics is modeled by two Cahn--Hilliard--Oono equations for the copolymer…

Analysis of PDEs · Mathematics 2024-11-07 Helmut Abels , Andrea Di Primio , Harald Garcke

We investigate the process of cloud cavitation collapse through large-scale simulation of a cloud composed of 12500 gas bubbles. A finite volume scheme is used on a structured Cartesian grid to solve the Euler equations, and the bubbles are…

Computational Physics · Physics 2019-06-12 Ursula Rasthofer , Fabian Wermelinger , Petr Karnakov , Jonas Šukys , Petros Koumoutsakos

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

From extensive molecular dynamics simulations on immiscible two-phase flows, we find the relative slipping between the fluids and the solid wall everywhere to follow the generalized Navier boundary condition, in which the amount of slipping…

Soft Condensed Matter · Physics 2009-11-07 Tiezheng Qian , Xiao-Ping Wang , Ping Sheng

This paper is the third in a series investigating the possibility that if we reside in an inflationary "bubble universe", we might observe the effects of collisions with other such bubbles. Here, we study the interior structure of a bubble…

High Energy Physics - Theory · Physics 2009-07-09 Anthony Aguirre , Matthew C Johnson , Martin Tysanner

Effect of interfacial disturbances on instabilities of buoyant/thermocapillary convective flows in rectangular cavities is studied in a series of numerical experiments. The computations are carried out for several two-liquid two-layer…

Fluid Dynamics · Physics 2022-04-19 Alexander Gelfgat