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We study the contribution of advection by thermal velocity fluctuations to the effective diffusion coefficient in a mixture of two identical fluids. The steady-state diffusive flux in a finite system subject to a concentration gradient is…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 A. Donev , A. de la Fuente , J. B. Bell , A. L. Garcia

Convection is ubiquitous in stars and occurs under many different conditions. Here we explore convection in main-sequence stars through two lenses: dimensionless parameters arising from stellar structure and parameters which emerge from the…

Solar and Stellar Astrophysics · Physics 2022-08-31 Adam S. Jermyn , Evan H. Anders , Daniel Lecoanet , Matteo Cantiello

The convective overshoot mixing plays an important role in stellar structure and evolution. However, the overshoot mixing is a long standing problem. The uncertainty of the overshoot mixing is one of the most uncertain factors in stellar…

Solar and Stellar Astrophysics · Physics 2013-07-16 Q. S. Zhang

(abridged) The calculation of the thermal stratification in the superadiabatic layers of stellar models with convective envelopes is a long standing problem of stellar astrophysics, and has a major impact on predicted observational…

Solar and Stellar Astrophysics · Physics 2015-05-06 Maurizio Salaris , Santi Cassisi

A grid of numerical simulations of double-diffusive convection is presented for astrophysical conditions. As in laboratory and geophysical cases convection takes place in a layered form. A translation between the astrophysical fluid…

Solar and Stellar Astrophysics · Physics 2015-03-17 F. Zaussinger , H. C. Spruit

Doubly diffusive convection describes the fluid motion driven by the competition of temperature and salinity gradients diffusing at different rates. While the convective motions driven by these gradients usually occupy the entire domain,…

Fluid Dynamics · Physics 2025-07-08 Paul M. Mannix , Cedric Beaume

We study convective stability of a two-front superposition in a reaction-diffusion system. Due to the instability of the connecting equilibrium, long-range semi-strong interaction is expected between the two waves. When restricting to the…

Analysis of PDEs · Mathematics 2026-05-27 Louis Garénaux , Bastian Hilder

Semiconvection occurs in regions of stars and planets that are unstable to overturning convection according to the Schwarzschild criterion, yet stable according to the Ledoux criterion. Previous simulations in Cartesian boxes have advanced…

Solar and Stellar Astrophysics · Physics 2025-03-19 J. R. Fuentes

We conduct two- and three-dimensional simulations for double diffusive convection in the diffusive regime, where the fluid flow is driven by a destabilizing temperature gradient and stabilized by a stably stratified salinity gradient. We…

Fluid Dynamics · Physics 2020-03-30 Kai Leong Chong , Rui Yang , Yantao Yang , Roberto Verzicco , Detlef Lohse

A grid of numerical simulations of double-diffusive convection is presented for the astrophysical case where viscosity (Prandtl number Pr) and solute diffusivity (Lewis number Le) are much smaller than the thermal diffusivity. As in…

Solar and Stellar Astrophysics · Physics 2015-06-15 F. Zaussinger , H. Spruit

We investigate the convective stability of a thin, infinite fluid layer with a rectangular cross-section, subject to imposed heat fluxes at the top and bottom and fixed temperature along the vertical sides. The instability threshold depends…

During most stages of stellar evolution the nuclear burning of lighter to heavier elements results in a radial composition profile which is stabilizing against buoyant acceleration, with light material residing above heavier material.…

Solar and Stellar Astrophysics · Physics 2015-05-30 M. Mocák , Casey A. Meakin , E. Müller , L. Siess

We describe an interpretation of convection in binary fluid mixtures as a superposition of thermal and solutal problems, with coupling due to advection and proportional to the separation parameter S. Many properties of binary fluid…

Pattern Formation and Solitons · Physics 2009-11-07 Laurette S. Tuckerman

We examine the physical basis for algorithms to replace mixing-length theory (MLT) in stellar evolutionary computations. Our 321D procedure is based on numerical solutions of the Navier-Stokes equations. These implicit large eddy…

Solar and Stellar Astrophysics · Physics 2015-08-19 W. David Arnett , Casey Meakin , Maxime Viallet , Simon W. Campbell , John Lattanzio , Miroslav Mocák

We study thermal convection in a rotating fluid in order to better understand the properties of convection zones in rotating stars and planets. We first derive mixing-length theory for rapidly-rotating convection, arriving at the results of…

Solar and Stellar Astrophysics · Physics 2015-06-19 Adrian J. Barker , Adam M. Dempsey , Yoram Lithwick

Stellar evolution models of massive stars are important for many areas of astrophysics, for example nucleosynthesis yields, supernova progenitor models and understanding physics under extreme conditions. Turbulence occurs in stars primarily…

Solar and Stellar Astrophysics · Physics 2016-03-23 Andréa Cristini , Casey Meakin , Raphael Hirschi , David Arnett , Cyril Georgy , Maxime Viallet

Convection plays a key role in the evolution of stars due to energy transport and mixing of composition. Despite its importance, this process is still not well understood. One longstanding conundrum in all 1D stellar evolution codes is the…

Solar and Stellar Astrophysics · Physics 2020-01-08 Etienne A. Kaiser , Raphael Hirschi , W. David Arnett , Andrea Cristini , Cyril Georgy , Laura J. A. Scott

The present study examines the linear instability characteristics of double-diffusive mixed convective flow in a vertical channel with viscosity stratification. The viscosity of the fluid is modelled as an exponential function of…

Fluid Dynamics · Physics 2023-06-28 Ankush , P. A. L. Narayana , K. C. Sahu

Context. Mixing by convective overshooting has long been suggested to play an important role for the amount of hydrogen available to nuclear burning in convective cores of stars. The best way to model this effect is still debated. Aims. We…

Solar and Stellar Astrophysics · Physics 2022-11-16 F. Kupka , F. Ahlborn , A. Weiss

We consider the process of convective dissolution in homogeneous and isotropic porous media. The flow is unstable due to the presence of a solute that induces a density difference responsible for driving the flow. The mixing dynamics is…

Fluid Dynamics · Physics 2024-08-02 Marco De Paoli , Christopher J. Howland , Roberto Verzicco , Detlef Lohse