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The three-layer Saffman-Taylor problem introduces two coupled moving interfaces separating the three fluids. A very recent weakly nonlinear analysis of this problem in a radial Hele-Shaw cell setup has shown that the morphologies of the…

流体动力学 · 物理学 2020-06-25 M. Zhao , Pedro H. A. Anjos , J. Lowengrub , S. Li

We consider the evolution of two incompressible fluids with homogeneous densities $\rho_-<\rho_+$ subject to gravity described by the inviscid Boussinesq equations and provide the explicit relaxation of the associated differential…

偏微分方程分析 · 数学 2022-01-24 Björn Gebhard , József J. Kolumbán

The study focuses on the 3D electro-hydrodynamic (EHD) instability for flow between to parallel electrodes with unipolar charge injection with and without cross-flow. Lattice Boltzmann Method (LBM) with two-relaxation time (TRT) model is…

流体动力学 · 物理学 2020-03-11 Yifei Guan , James Riley , Igor Novosselov

By tailoring the geometry of the upper boundary in turbulent Rayleigh-B\'enard convection we manipulate the boundary layer -- interior flow interaction, and examine the heat transport using the Lattice Boltzmann method. For fixed amplitude…

流体动力学 · 物理学 2015-09-14 Srikanth Toppaladoddi , Sauro Succi , John S. Wettlaufer

We present results from numerical simulations of Rayleigh-Taylor turbulence, performed using a recently proposed lattice Boltzmann method able to describe consistently a thermal compressible flow subject to an external forcing. The method…

流体动力学 · 物理学 2015-05-20 A. Scagliarini , L. Biferale , M. Sbragaglia , K. Sugiyama , F. Toschi

Rayleigh--Taylor fluid turbulence through a bed of rigid, finite-size, spheres is investigated by means of high-resolution Direct Numerical Simulations (DNS), fully coupling the fluid and the solid phase via a state-of-the art Immersed…

流体动力学 · 物理学 2019-02-05 G. Sardina , L. Brandt , G. Boffetta , A. Mazzino

Three-dimensional miscible Rayleigh--Taylor (RT) turbulence at small Atwood number and at Prandtl number one is investigated by means of high resolution direct numerical simulations of the Boussinesq equations. RT turbulence is a…

混沌动力学 · 物理学 2015-05-19 G. Boffetta , A. Mazzino , S. Musacchio , L. Vozella

We present the linear theory of two-dimensional incompressible magneto-Rayleigh-Taylor instability in a system composed of a linear elastic (Hookean) layer above a lighter semi-infinite ideal fluid with magnetic fields present, above and…

流体动力学 · 物理学 2019-05-01 S. A. Piriz , A. R. Piriz , N. A. Tahir

The temporal evolution of the fluid circulation generated by a buoyancy force when two-dimensional (2D) arrays of 2D thermals are released into a quiescent incompressible fluid is studied through the results of numerous lattice Boltzmann…

流体动力学 · 物理学 2009-11-11 P. Stansell , R. V. R. Pandya

Melting and, conversely, solidification processes in the presence of convection are key to many geophysical problems. An essential question related to these phenomena concerns the estimation of the (time-evolving) melting rate, which is…

流体动力学 · 物理学 2018-05-23 Babak Rabbanipour Esfahani , Silvia C. Hirata , Stefano Berti , Enrico Calzavarini

Current GPU-accelerated supercomputers promise to enable large-scale simulations of turbulent flows. Lattice Boltzmann Methods (LBM) are particularly well-suited to fulfilling this promise due to their intrinsic compatibility with highly…

计算物理 · 物理学 2025-06-30 Adrian Kummerländer , Fedor Bukreev , Yuji Shimojima , Shota Ito , Mathias J. Krause

We investigated the Rayleigh-Plateau instability at the interface between two immiscible liquids of equal viscosity using molecular dynamics simulations. Two types of initial conditions were considered, one with an imposed single-mode…

软凝聚态物质 · 物理学 2025-12-02 Shunta Kikuchi , Hiroshi Watanabe

We investigate the statistical properties of Rayleigh-Taylor turbulence in a convective cell of high aspect ratio, in which one transverse side is much smaller that the others. We show that the scale of confinement determines the Bolgiano…

混沌动力学 · 物理学 2011-02-01 G. Boffetta , F. De Lillo , A. Mazzino , S. Musacchio

Fingering instabilities akin to the Rayleigh-Taylor (RT) instability in fluids have been observed in a binary granular system consisting of dense and small particles layered on top of lighter and larger particles, when the system is…

The four-roll mill has been traditionally viewed as a device generating simple extensional flow with a central stagnation point. Our systematic investigation using a two-relaxation-time regularized lattice Boltzmann (TRT-RLB) model reveals…

流体动力学 · 物理学 2025-01-09 Yuan Yu , Xiao Jiang , Qingqing Gu , Chuandong Lin , Qingyong Zhu , Hai-zhuan Yuan

In this paper, the coupled Rayleigh-Taylor-Kelvin-Helmholtz instability(RTI, KHI and RTKHI, respectively) system is investigated using a multiple-relaxation-time discrete Boltzmann model. Both the morphological boundary length and…

流体动力学 · 物理学 2022-03-24 Feng Chen , Aiguo Xu , Yudong Zhang , Qingkai Zeng

Turbulent flows driven by a vertically invariant body force were proven to become exactly two-dimensional above a critical rotation rate, using upper bound theory. This transition in dimensionality of a turbulent flow has key consequences…

流体动力学 · 物理学 2023-07-19 Kannabiran Seshasayanan , Basile Gallet

Turbulent Rayleigh-B\'enard convection in slender cylindrical cells exhibits rich dynamics of the large-scale circulation (LSC), with several rolls stacked on top of each other. We propose that the elliptical instability is the mechanism…

流体动力学 · 物理学 2020-08-05 Lukas Zwirner , Andreas Tilgner , Olga Shishkina

The Saffman-Taylor instability occurs when a less viscous fluid is displacing a more viscous one in a rectangular Hele-Shaw cell. A surface tension on the interface between the two fluids is improving the stability. The multi-layer Hele -…

流体动力学 · 物理学 2019-03-06 Gelu Paşa

Fluid--fluid interfacial instability and subsequent fluid mixing are ubiquitous in nature and engineering. The hydrodynamic instability of fluid interfaces has long centered on the pressure gradient-driven long-wavelength Rayleigh--Taylor…

流体动力学 · 物理学 2025-11-19 Tianyi Chu , Benjamin Wilfong , Timothy Koehler , Ryan M. McMullen , Spencer H. Bryngelson