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The turbulent Rayleigh--Taylor system in a rotating reference frame is investigated by direct numerical simulations within the Oberbeck-Boussinesq approximation. On the basis of theoretical arguments, supported by our simulations, we show…

Fluid Dynamics · Physics 2017-05-16 G. Boffetta , A. Mazzino , S. Musacchio

A data-driven turbulence model for coarse-grained numerical simulations of two-dimensional Rayleigh-B\'enard convection is proposed. The model starts from high-fidelity data and is based on adjusting the Fourier coefficients of the…

Fluid Dynamics · Physics 2024-02-08 Sagy Ephrati , Paolo Cifani , Bernard Geurts

We discuss two aspects of turbulent Rayleigh-B\'{e}nard convection (RBC) on the basis of high-resolution direct numerical simulations in a unique setting; a closed cylindrical cell of aspect ratio of one. First, we present a comprehensive…

Fluid Dynamics · Physics 2017-11-29 Janet D. Scheel , Jörg Schumacher

We investigate the dynamics of plasma-based acceleration processes with collisionless particle dynamics and non negligible thermal effects. We aim at assessing the applicability of fluid-like models, obtained by suitable closure assumptions…

Turbulent convection in the interiors of the Sun and the Earth occurs at high Rayleigh numbers $Ra$, low Prandtl numbers $Pr$, and different levels of rotation rates. To understand the combined effects better, we study rotating turbulent…

Fluid Dynamics · Physics 2024-11-20 Ambrish Pandey , Katepalli R. Sreenivasan

We analyze stellar convection with the aid of 3D hydrodynamic simulations, introducing the turbulent cascade into our theoretical analysis. We devise closures of the Reynolds-decomposed mean field equations by simple physical modeling of…

Astrophysics · Physics 2011-02-11 David Arnett , Casey Meakin , P. A. Young

Despite the appearance of two- and three-dimensional models thanks to the rapid growth of computing performance, numerical hydrocodes used to model radial stellar pulsations still apply a one-dimensional stellar envelope model without any…

Solar and Stellar Astrophysics · Physics 2023-03-27 Gábor B. Kovács , Róbert Szabó , János Nuspl

A study of convection in a circular two dimensional cell is presented. The system is heated and cooled at two diametrically opposed points on the edge of the circle, which are parallel or anti-parallel to gravity. The latter's role in the…

Fluid Dynamics · Physics 2013-08-27 C. Málaga , F. Mandujano , R. Peralta-Fabi , C. Arzate

The helioseismic observations of the internal rotation profile of the Sun raise questions about the two-dimensional (2D) nature of the transport of angular momentum in stars. Here we derive a convective prescription for axisymmetric (2D)…

Solar and Stellar Astrophysics · Physics 2015-06-15 P. Lesaffre , S. M. Chitre , A. T. Potter , C. A. Tout

Numerical simulations of turbulent Rayleigh-B\'enard convection in an ideal gas, using either the anelastic approximation or the fully compressible equations, are compared. Theoretically, the anelastic approximation is expected to hold in…

Solar and Stellar Astrophysics · Physics 2015-05-27 Jan Verhoeven , Thomas Wiesehöfer , Stephan Stellmach

We present new results from a direct numerical simulation of a three dimensional homogeneous Rayleigh-Benard system (HRB), i.e. a convective cell with an imposed linear mean temperature profile along the vertical direction. We measure the…

Chaotic Dynamics · Physics 2007-05-23 L. Biferale , E. Calzavarini , F. Toschi , R. Tripiccione

We present the results of three-dimensional simulations of the deep convective envelope of a young (10 Myr) one-solar-mass star, obtained with the Anelastic Spherical Harmonic code. Since young stars are known to be faster rotators than…

Astrophysics · Physics 2008-04-03 Jérôme Ballot , Allan Sacha Brun , Sylvaine Turck-Chièze

Homogeneous anisotropic turbulence simulations are used to determine off-diagonal components of the Reynolds stress tensor and its parameterization in terms of turbulent viscosity and Lambda-effect. The turbulence is forced in an…

Astrophysics · Physics 2011-11-10 P. J. Käpylä , A. Brandenburg

We report heat transfer and temperature profile measurements in laboratory experiments of rapidly rotating convection in water under intense thermal forcing (Rayleigh number $Ra$ as high as $\sim 10^{13}$) and unprecedentedly strong…

We have performed the first three-dimensional non-linear simulation of the turbulent convective envelope of a rotating 0.8 Msun RGB star using the ASH code. Adopting a global typical rotation rate of a tenth of the solar rate, we have…

Astrophysics · Physics 2015-06-24 A. Palacios , A. S. Brun

Motivated by the recent discovery of subsurface oceans on planetary moons and the interest they have generated, we explore convective flows in shallow spherical shells of dimensionless gap width $\varepsilon^2\ll 1$ in the rapid rotation…

Fluid Dynamics · Physics 2018-05-18 Miquel Benjamin , Xie Jin-Han , Featherstone Nicholas , Julien Keith , Knobloch Edgar

We have found a multi-scale steady solution of the Boussinesq equations for Rayleigh-B\'enard convection in a three-dimensional periodic domain between horizontal plates with a constant temperature difference by using a homotopy from the…

Fluid Dynamics · Physics 2020-04-16 Shingo Motoki , Genta Kawahara , Masaki Shimizu

Convection in planets and stars is predicted to occur in the "ultimate regime'' of diffusivity-free, rapidly rotating turbulence, in which flows are characteristically unaffected by viscous and thermal diffusion. Boundary layer diffusion,…

Fluid Dynamics · Physics 2025-04-21 Jewel A. Abbate , Yufan Xu , Tobias Vogt , Susanne Horn , Keith Julien , Jonathan M. Aurnou

Motivated by understanding the dynamics of stellar and planetary interiors, we have performed a set of direct numerical simulations of Boussinesq convection in a rotating full sphere. The domain is internally heated with fixed temperature…

Fluid Dynamics · Physics 2021-05-05 Yufeng Lin , Andrew Jackson

We present numerical simulations of three-dimensional thermal convective flows in a cubic cell at high Rayleigh number using thermal lattice Boltzmann (LB) method. The thermal LB model is based on double distribution function approach,…

Fluid Dynamics · Physics 2020-08-05 Ao Xu , Le Shi , Heng-Dong Xi