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We compute solutions of the Lagrangian-Averaged Navier-Stokes alpha-model (LANS) for significantly higher Reynolds numbers (up to Re 8300) than have previously been accomplished. This allows sufficient separation of scales to observe a…

流体动力学 · 物理学 2007-11-15 J. Pietarila Graham , Darryl Holm , Pablo Mininni , Annick Pouquet

Unsteady Lifting-Line Theory (ULLT) is a low order method capable of modeling interacting unsteady and finite wing effects at low computational cost. Most formulations of the method assume inviscid flow and small amplitudes. Whilst these…

流体动力学 · 物理学 2021-04-14 Hugh J. A. Bird , Kiran Ramesh , Shūji Ōtomo , Ignazio Maria Viola

In this paper we overcome a key problem in an otherwise highly potential approach to study turbulent flows, ODTLES (One-Dimensional Turbulence Large Eddy Simulation). From a methodological point of view, ODTLES is an approach in between…

流体动力学 · 物理学 2018-06-06 Christoph Glawe , Juan A. Medina M. , Heiko Schmidt

In this paper, the three-dimensional (3D) isentropic compressible Navier-Stokes equations with degenerate viscosities (\textbf{ICND}) is considered in both the whole space and the periodic domain. First, for the corresponding Cauchy…

偏微分方程分析 · 数学 2019-11-20 Shengguo Zhu

3D hydrodynamics models of deep stellar convection exhibit turbulent entrainment at the convective-radiative boundary which follows the entrainment law, varying with boundary penetrability. We implement the entrainment law in the 1D Geneva…

太阳与恒星天体物理 · 物理学 2021-03-24 L. J. A. Scott , R. Hirschi , C. Georgy , W. D. Arnett , C. Meakin , E. A. Kaiser , S. Ekström , N. Yusof

We are concerned with the long-time behavior of classical solutions to the isentropic compressible Navier-Stokes equations in $\mathbb R^3$. Our main results and innovations can be stated as follows: Under the assumption that the density…

偏微分方程分析 · 数学 2024-11-05 Guochun Wu , Xin Zhong

We prove the existence and uniqueness of global, probabilistically strong, analytically strong solutions of the 2D Stochastic Navier-Stokes Equation under Navier boundary conditions. The choice of noise includes a large class of additive,…

概率论 · 数学 2023-08-17 Daniel Goodair

We present the Stagger-grid, a comprehensive grid of time-dependent, 3D hydrodynamic model atmospheres for late-type stars with realistic treatment of radiative transfer, covering a wide range in stellar parameters. This grid of 3D models…

太阳与恒星天体物理 · 物理学 2015-06-15 Z. Magic , R. Collet , M. Asplund , R. Trampedach , W. Hayek , A. Chiavassa , R. F. Stein , Å. Nordlund

Turbulent problems in industrial applications are predominantly solved using Reynolds Averaged Navier Stokes (RANS) turbulence models. The accuracy of the RANS models is limited due to closure assumptions that induce uncertainty into the…

流体动力学 · 物理学 2018-02-20 Atieh Alizadeh Moghaddam , Amir Sadaghiyani

Numerical simulations of magneto-convection have greatly expanded our understanding of stellar interiors and stellar magnetism. Recently, fully compressible hydrodynamical simulations of full-star models have demonstrated the feasibility of…

太阳与恒星天体物理 · 物理学 2022-08-03 José R. Canivete Cuissa , Romain Teyssier

The interaction among quasi-geostrophic mesoscale eddies, submesoscale fronts, and boundary layer turbulence (BLT) is a central problem in upper ocean dynamics. We investigate these multiscale dynamics using a novel large-eddy simulation on…

流体动力学 · 物理学 2026-04-21 S. Peng , S. Silvestri , A. Bodner

MHD turbulence is likely to play an important role in several astrophysical scenarios where the magnetic Reynolds is very large. Numerically, these cases can be studied efficiently by means of Large Eddy Simulations, in which the…

高能天体物理现象 · 物理学 2020-03-25 Federico Carrasco , Daniele Viganò , Carlos Palenzuela

Numerical and analytical studies of decaying, two-dimensional (2D) Navier-Stokes (NS) turbulence at high Reynolds numbers are reported. The effort is to determine computable distinctions between two different formulations of maximum entropy…

流体动力学 · 物理学 2009-11-07 Z. Yin , D. C. Montgomery , H. J. H. Clercx

In this paper, we study the dynamic stability of the 3D axisymmetric Navier-Stokes Equations with swirl. To this purpose, we propose a new one-dimensional (1D) model which approximates the Navier-Stokes equations along the symmetry axis. An…

偏微分方程分析 · 数学 2007-05-23 Thomas Y. Hou , Congming Li

We present the existence/non-existence criteria for large-amplitude boundary layer solutions to the inflow problem of the one-dimensional (1D) full compressible Navier-Stokes equations on a half line $\mathbb{R}_+$. Instead of the classical…

偏微分方程分析 · 数学 2025-05-01 Yi Wang , Yong-Fu Yang , Qiuyang Yu

The outer envelopes of massive ($M\gtrsim10\,M_{\odot}$) stars exhibit large increases in opacities from forests of lines and ionization transitions (particularly from iron and helium) that trigger near-surface convection zones.…

太阳与恒星天体物理 · 物理学 2023-07-19 William Schultz , Lars Bildsten , Yan-Fei Jiang

We study stochastic Navier-Stokes equations in two dimensions with respect to periodic boundary conditions. The equations are perturbed by a nonlinear multiplicative stochastic forcing with linear growth (in the velocity) driven by a…

数值分析 · 数学 2019-07-10 Dominic Breit , Alan Dodgson

Present grids of stellar atmosphere models are the workhorses in interpreting stellar observations, and determining their fundamental parameters. These models rely on greatly simplified models of convection, however, lending less predictive…

太阳与恒星天体物理 · 物理学 2015-06-15 Regner Trampedach , Martin Asplund , Remo Collet , Åke Nordlund , Robert F. Stein

We consider stochastic approximations of sampling algorithms, such as Stochastic Gradient Langevin Dynamics (SGLD) and the Random Batch Method (RBM) for Interacting Particle Dynamcs (IPD). We observe that the noise introduced by the…

概率论 · 数学 2023-10-10 Aniket Das , Dheeraj Nagaraj , Anant Raj