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arXiv 2604.06151astro-ph.SR
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用太阳测试3方程Kuhfuss对流模型

Testing the 3-equation Kuhfuss Convection Model using the Sun

Max-Planck-Institut für Astrophysik(马克斯·普朗克天体物理研究所);Ludwig-Maximillians-Universität München(慕尼黑大学);Heidelberger Institut für Theoretische Studien(海德堡理论研究所);Univ. of Applied Sciences, Technikum Wien(维也纳应用技术大学);Wolfgang-Pauli-Institute c/o Faculty of Mathematics, University of Vienna(维也纳大学沃尔夫冈·保利研究所);Fakultät für Mathematik, Universität Wien(维也纳大学数学系)

T. A. M. Braun, F. Ahlborn, F. Kupka, A. Weiss

AI总结:

本文通过太阳作为基准,测试了更完整的3方程Kuhfuss湍流对流模型,发现该模型在内边界温度梯度建模上比混合长度理论和1方程模型更合理,但接近表面时会产生不物理的负温度梯度。

摘要:

简化的一维模型对于恒星演化的对流建模是必要的。通过包括对流的非局部效应,湍流对流模型比通常用于一维恒星演化的混合长度理论在物理上更准确。我们最近表明,1方程Kuhfuss湍流对流模型不足以满意地建模太阳的对流包层。使用太阳作为基准,我们测试了更完整的3方程Kuhfuss湍流对流模型。我们使用一维恒星演进代码GARSTEC,用3方程Kuhfuss湍流对流模型计算了一个太阳校准的模型。我们将模型预测的内部结构与太阳的太阳震测量进行比较。此外,我们研究了3方程模型的自由参数和闭合关系如何影响结果。我们发现,与混合长度理论或1方程模型相比,3方程模型在对流包层内边界处的温度梯度建模更加合理。这也有助于改善模型与太阳之间的声速剖面的一致性,并减少恒星震观测表面效应。然而,接近表面时,3方程模型会产生一个具有不物理的负温度梯度的层。这个层与3方程模型中使用的闭合关系有关。我们的结果展示了湍流对流模型的能力,并可以作为改进和更真实建模恒星演进代码中对流的下一步。

英文摘要:

Simplified, one-dimensional models are necessary to model convection in the context of stellar evolution. By including the non-local effects of convection, turbulent convection models describe convection in a more physical way compared to mixing length theory, which is typically used in one-dimensional stellar evolution models. We recently showed that the 1-equation Kuhfuss turbulent convection model is not sufficient to model the solar convective envelope satisfactorily. Using the Sun as a benchmark, we test the physically more complete 3-equation Kuhfuss turbulent convection model. We calculate a solar calibrated model with the 3-equation Kuhfuss turbulent convection model using the one-dimensional stellar evolution code GARSTEC. We compare the predicted interior structure of the model with helioseismic measurements of the Sun. Furthermore, we investigate how the free parameters and the closure relations of the 3-equation model influence the results. We find that, with the 3-equation model, the temperature gradient at the inner boundary of the convective envelope is modelled more realistically compared to the mixing length theory or the 1-equation model. This also improves the agreement for the sound speed profile between the model and the Sun, and reduces the asteroseismic surface effect. However, close to the surface, the 3-equation model results in a layer having an unphysical, negative temperature gradient. This layer is connected to the closure relations used in the 3-equation model. Our results demonstrate the capabilities of turbulent convection models, and can serve as a next step towards an improved and more realistic modelling of convection in stellar evolution codes.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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