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Related papers: Three-equation turbulent convection models in clas…

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Context. The one-dimensional treatment of turbulent convection had large successes until the early 2000s. However, the recent abundance and precision of observational data shows that this problem is far from solved. A modern approach should…

Solar and Stellar Astrophysics · Physics 2025-07-16 Gábor B. Kovács , R. Szabó , J. Nuspl

We review the numerical modelling of the nonlinear pulsations of classical variable stars with hydrocodes that include the effects of turbulent convection. Despite their simplicity these turbulent convective recipes appear to remove many of…

Astrophysics · Physics 2007-05-23 J. Robert Buchler

This paper presents a novel methodology for the direct numerical modeling and simulation of turbulent flows. The kinetic model equation is firstly extended to turbulent flow with the account of coupled evolution of kinetic, thermal, and…

Computational Physics · Physics 2025-03-11 Xiaojian Yang , Kun Xu

Turbulent convection is certainly one of the most important and thorny issues in stellar physics. Our deficient knowledge of this crucial physical process introduces a fairly large uncertainty concerning the internal structure and evolution…

Solar and Stellar Astrophysics · Physics 2018-04-25 M. Gabriel , K. Belkacem

The complex evolution of turbulent mixing in Rayleigh-Taylor convection is studied in terms of eddy diffusiviy models for the mean temperature profile. It is found that a non-linear model, derived within the general framework of Prandtl…

Chaotic Dynamics · Physics 2015-05-18 G. Boffetta , F. De Lillo , S. Musacchio

Standard eddy viscosity models, while robust, cannot represent backscatter and have severe difficulties with complex turbulence not at statistical equilibrium. This report gives a new derivation of eddy viscosity models from an equation for…

Numerical Analysis · Mathematics 2015-03-05 Nan Jiang , William Layton

(Abridged) We describe the results of three-dimensional (3D) numerical simulations designed to study turbulent convection in the stellar interiors, and compare them to stellar mixing-length theory (MLT). Simulations in 2D are significantly…

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

Accurate and robust models for the pressure strain correlation are an essential component for the success of Reynolds Stress Models in turbulent flow simulations. However replicating the non-local action of pressure using only local tensors…

Fluid Dynamics · Physics 2017-12-22 J. P. Panda , H. V. Warrior

We are developing a 3D radiation hydrodynamics code to simulate the interaction of convection and pulsation in classical variable stars. One key goal is the ability to carry these simulations to full amplitude in order to compare them with…

Solar and Stellar Astrophysics · Physics 2015-05-27 Chris M. Geroux , Robert G. Deupree

Stochatic excitation of stellar oscillations by turbulent convection is investigated and an expression for the power injected into the oscillations by the turbulent convection of the outer layers is derived which takes into account…

Astrophysics · Physics 2009-11-06 Reza Samadi , Marie-Jo Goupil

We present a model for the transport of anisotropic turbulence in an accretion disc. The model uses the Reynolds stress tensor approach in the mean field approximation. To study the role of convection in a protoplanetary disc, we combine…

Solar and Stellar Astrophysics · Physics 2023-11-06 E. P. Kurbatov , Ya. N. Pavlyuchenkov

The non-local hydrodynamic moment equations for compressible convection are compared to numerical simulations. Convective and radiative flux typically deviate less than 20% from the 3D simulations, while mean thermodynamic quantities are…

Astrophysics · Physics 2009-10-31 F. Kupka

We have developed a three-dimensional radiation hydrodynamics code to simulate the interaction of convection and radial pulsation in classical variable stars. One key goal is the ability to carry these simulations to full amplitude in order…

Solar and Stellar Astrophysics · Physics 2015-06-16 Chris M. Geroux , Robert G. Deupree

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

We propose a closure model for the transport of entropy and momentum in astrophysical turbulence, intended for application to rotating stellar convective regions. Our closure model is first presented in the Boussinesq formalism, and…

Solar and Stellar Astrophysics · Physics 2015-05-18 Pascale Garaud , Gordon I. Ogilvie , Neil Miller , Stephan Stellmach

We have developed a multidimensional radiation hydrodynamics code to simulate the interaction of radial stellar pulsation and convection for full amplitude pulsating models. Convection is computed using large eddy simulations. Here we…

Solar and Stellar Astrophysics · Physics 2014-03-05 Christopher M. Geroux , Robert G. Deupree

Three dimensional hydrodynamic simulations of full amplitude RR Lyrae stars have been computed for several models across the instability strip. The three dimensional nature of the calculations allows convection to be treated without…

Solar and Stellar Astrophysics · Physics 2015-02-11 Christopher M. Geroux , Robert G. Deupree

The classical 'ballistic' overshoot models show some contradictions and are not consistence with numerical simulations and asteroseismic studies. Asteroseismic studies imply that overshoot is a weak mixing process. Diffusion model is…

Solar and Stellar Astrophysics · Physics 2016-03-09 Q. S. Zhang

Among the problems still open in the study of stellar structure, we discuss in particular some issues related to the study of convection. We have recently built up complete stellar models, adopting a consistent formulation of convection…

Astrophysics · Physics 2007-05-23 F. D'Antona , J. Montalban , I. Mazzitelli

The inclusion of convection in stellar evolution models lacks realism, especially near convective-radiative interfaces. Furthermore, the interaction of convection with oscillations prevent us from accurately predicting seismic frequencies,…

Solar and Stellar Astrophysics · Physics 2025-10-31 J. Philidet , K. Belkacem