Open Access
Issue
A&A
Volume 705, January 2026
Article Number A191
Number of page(s) 30
Section Stellar structure and evolution
DOI https://doi.org/10.1051/0004-6361/202554956
Published online 20 January 2026
  1. Aerts, C., Christensen-Dalsgaard, J., & Kurtz, D. W. 2010, Asteroseismology (Dordrecht, Heidelberg, London, New York: Springer) [Google Scholar]
  2. Aerts, C., Augustson, K., Mathis, S., et al. 2021, A&A, 656, A121 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  3. Ahlborn, F. 2022, Dissertation, Ludwig Maximilians Universität München, München [Google Scholar]
  4. Ahlborn, F., Kupka, F., Weiss, A., & Flaskamp, M. 2022, A&A, 667, A97 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  5. Alongi, M., Bertelli, G., Bressan, A., & Chiosi, C. 1991, A&A, 244, 95 [NASA ADS] [Google Scholar]
  6. Anders, E. H., Jermyn, A. S., Lecoanet, D., & Brown, B. P. 2022, ApJ, 926, 169 [NASA ADS] [CrossRef] [Google Scholar]
  7. Andrassy, R., Higl, J., Mao, H., et al. 2022, A&A, 659, A193 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  8. Andrassy, R., Leidi, G., Higl, J., et al. 2024, A&A, 683, A97 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  9. Angelou, G. C., Bellinger, E. P., Hekker, S., et al. 2020, MNRAS, 493, 4987 [NASA ADS] [CrossRef] [Google Scholar]
  10. Arnett, W. D., Meakin, C., Viallet, M., et al. 2015, ApJ, 809, 30 [NASA ADS] [CrossRef] [Google Scholar]
  11. Aspden, A., Nikiforakis, N., Dalziel, S., & Bell, J. 2009, Commun. Appl. Math. Comp. Sci., 3, 103 [Google Scholar]
  12. Asplund, M., Amarsi, A. M., & Grevesse, N. 2021, A&A, 653, A141 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  13. Baraffe, I., Pratt, J., Vlaykov, D. G., et al. 2021, A&A, 654, A126 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  14. Baraffe, I., Clarke, J., Morison, A., et al. 2023, MNRAS, 519, 5333 [NASA ADS] [CrossRef] [Google Scholar]
  15. Basu, S., & Antia, H. M. 2004, ApJ, 606, L85 [CrossRef] [Google Scholar]
  16. Berberich, J. P., Chandrashekar, P., & Klingenberg, C. 2021, Comput. Fluids, 104858 [Google Scholar]
  17. Biermann, L. 1932, Z. Astrophys., 5, 117 [NASA ADS] [Google Scholar]
  18. Birch, A. C., Proxauf, B., Duvall, T. L., et al. 2024, Phys. Fluids, 36, 117136 [Google Scholar]
  19. Blouin, S., Mao, H., Herwig, F., et al. 2023, MNRAS, 522, 1706 [CrossRef] [Google Scholar]
  20. Böhm-Vitense, E. 1958, Z. Astrophys., 46, 108 [Google Scholar]
  21. Brandenburg, A. 2016, ApJ, 832, 6 [Google Scholar]
  22. Braun, T. A. M., Ahlborn, F., & Weiss, A. 2024, A&A, 689, A292 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  23. Bressan, A. G., Chiosi, C., & Bertelli, G. 1981, A&A, 102, 25 [Google Scholar]
  24. Cai, T. 2020, ApJ, 891, 77 [Google Scholar]
  25. Canuto, V. M. 1992, ApJ, 392, 218 [Google Scholar]
  26. Canuto, V. M. 1993, ApJ, 416, 331 [NASA ADS] [CrossRef] [Google Scholar]
  27. Canuto, V. M., & Dubovikov, M. 1998, ApJ, 493, 834 [NASA ADS] [CrossRef] [Google Scholar]
  28. Carlos, M., Meléndez, J., Spina, L., et al. 2019, MNRAS, 485, 4052 [Google Scholar]
  29. Chan, K. L., & Gigas, D. 1992, ApJ, 389, L87 [NASA ADS] [CrossRef] [Google Scholar]
  30. Christensen-Dalsgaard, J., Monteiro, M. J. P. F. G., Rempel, M., & Thompson, M. J. 2011, MNRAS, 414, 1158 [CrossRef] [Google Scholar]
  31. Claret, A., & Torres, G. 2019, ApJ, 876, 134 [Google Scholar]
  32. Cristini, A., Meakin, C., Hirschi, R., et al. 2017, MNRAS, 471, 279 [NASA ADS] [CrossRef] [Google Scholar]
  33. Cristini, A., Hirschi, R., Meakin, C., et al. 2019, MNRAS, 484, 4645 [NASA ADS] [CrossRef] [Google Scholar]
  34. Daly, B. J., & Harlow, F. H. 1970, Phys. Fluids, 13, 2634 [NASA ADS] [CrossRef] [Google Scholar]
  35. Deardorff, J. W. 1966, J. Atmos. Sci., 23, 503 [NASA ADS] [CrossRef] [Google Scholar]
  36. Deheuvels, S., Brandão, I., Silva Aguirre, V., et al. 2016, A&A, 589, A93 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  37. Dumont, T., Palacios, A., Charbonnel, C., et al. 2021, A&A, 646, A48 [EDP Sciences] [Google Scholar]
  38. Edelmann, P. V. F. 2014, Ph.D. Thesis, Max-Planck-Institut für Astrophysik, Technische Universität München [Google Scholar]
  39. Edelmann, P. V. F., Röpke, F. K., Hirschi, R., Georgy, C., & Jones, S. 2017, A&A, 604, A25 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  40. Edelmann, P. V. F., Horst, L., Berberich, J. P., et al. 2021, A&A, 652, A53 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  41. Flaskamp, M. 2003, Ph.D. Thesis, Max-Planck-Institut für Astrophysik, Technische Universität München [Google Scholar]
  42. Freytag, B., Ludwig, H. G., & Steffen, M. 1996, A&A, 313, 497 [NASA ADS] [Google Scholar]
  43. Gilet, C., Almgren, A. S., Bell, J. B., et al. 2013, ApJ, 773, 137 [NASA ADS] [CrossRef] [Google Scholar]
  44. Gough, D. O. 1969, J. Atmos. Sci., 26, 448 [NASA ADS] [CrossRef] [Google Scholar]
  45. Grossman, S. A. 1996, MNRAS, 279, 305 [NASA ADS] [CrossRef] [Google Scholar]
  46. Hanasoge, S. M., Duvall, T. L., & Sreenivasan, K. R. 2012, PNAS, 109, 11928 [NASA ADS] [CrossRef] [Google Scholar]
  47. Heger, A., Müller, B., & Mandel, I. 2023, in The Encyclopedia of Cosmology. Set 2: Frontiers in Cosmology. Volume 3: Black Holes, ed. Z. Haiman (World Scientific), 61 [Google Scholar]
  48. Higl, J. 2019, Dissertation, Technische Universität München, München [Google Scholar]
  49. Higl, J., Müller, E., & Weiss, A. 2021, A&A, 646, A133 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  50. Horst, L., Edelmann, P. V. F., Andrássy, R., et al. 2020, A&A, 641, A18 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  51. Horst, L., Hirschi, R., Edelmann, P. V. F., Andrássy, R., & Röpke, F. K. 2021, A&A, 653, A55 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  52. Hosea, M., & Shampine, L. 1996, Appl. Numer. Math., 20, 21 [CrossRef] [Google Scholar]
  53. Iglesias, C. A., & Rogers, F. J. 1996, ApJ, 464, 943 [NASA ADS] [CrossRef] [Google Scholar]
  54. Käpylä, P. J. 2019, A&A, 631, A122 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  55. Käpylä, P. J. 2021, A&A, 655, A78 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  56. Käpylä, P. J. 2024, A&A, 683, A221 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  57. Käpylä, P. J., Rheinhardt, M., Brandenburg, A., et al. 2017, ApJ, 845, L23 [CrossRef] [Google Scholar]
  58. Käpylä, P. J., Browning, M. K., Brun, A. S., Guerrero, G., & Warnecke, J. 2023, Space Sci. Rev., 219, 58 [CrossRef] [Google Scholar]
  59. Khan, S., Hall, O. J., Miglio, A., et al. 2018, ApJ, 859, 156 [NASA ADS] [CrossRef] [Google Scholar]
  60. Kippenhahn, R., Weigert, A., & Weiss, A. 2012, Stellar Structure and Evolution (Heidelberg, Dordrecht, London, New York: Springer) [Google Scholar]
  61. Kolmogorov, A. N. 1942, Izv. Akad. Nauk SSSR, Seria fizicheska, VI, 56 [Google Scholar]
  62. Kuhfuß, R. 1986, A&A, 160, 116 [NASA ADS] [Google Scholar]
  63. Kuhfuß, R. 1987, Dissertation, Technische Universität München, München [Google Scholar]
  64. Kupka, F. 1999, in Theory and Tests of Convection in Stellar Structure:, eds. A. Gimenez, E. F. Guinan, & B. Montesinos, 173, 157 [Google Scholar]
  65. Kupka, F., & Montgomery, M. H. 2002, MNRAS, 330, L6 [NASA ADS] [CrossRef] [Google Scholar]
  66. Kupka, F., & Muthsam, H. J. 2007a, in Convection in Astrophysics, eds. F. Kupka, I. Roxburgh, & K. L. Chan, 239, 80 [NASA ADS] [Google Scholar]
  67. Kupka, F., & Muthsam, H. J. 2007b, in Convection in Astrophysics, eds. F. Kupka, I. Roxburgh, & K. L. Chan, 239, 83 [NASA ADS] [Google Scholar]
  68. Kupka, F., & Muthsam, H. J. 2007c, in Convection in Astrophysics, eds. F. Kupka, I. Roxburgh, & K. L. Chan, 239, 86 [NASA ADS] [Google Scholar]
  69. Kupka, F., Zaussinger, F., & Montgomery, M. H. 2018, MNRAS, 474, 4660 [NASA ADS] [CrossRef] [Google Scholar]
  70. Kupka, F., Ahlborn, F., & Weiss, A. 2022, A&A, 667, A96 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  71. Landau, L. D., & Lifshitz, E. M. 2007, Hydrodynamik (Frankfurt am Main: Verlag Harri Deutsch), Lehrbuch der theoretischen Physik, VI [Google Scholar]
  72. Langer, N., El Eid, M. F., & Fricke, K. J. 1985, A&A, 145, 179 [NASA ADS] [Google Scholar]
  73. Launder, B. E., Reece, G. J., & Rodi, W., 1975, J. Fluid Mech., 68, 537 [NASA ADS] [CrossRef] [Google Scholar]
  74. Lecoanet, D., & Edelmann, P. V. F. 2023, Galaxies, 11, 89 [NASA ADS] [CrossRef] [Google Scholar]
  75. Leidi, G., Andrassy, R., Higl, J., Edelmann, P. V. F., & Röpke, F. K. 2023, A&A, 679, A132 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  76. Li, Y., & Yang, J.-Y. 2001, Chinese J. Astron. Astrophys., 1, 66 [Google Scholar]
  77. Li, Y., & Yang, J. Y. 2007, MNRAS, 375, 388 [NASA ADS] [CrossRef] [Google Scholar]
  78. Liou, M.-S. 1996, J. Comput. Phys., 129, 364 [Google Scholar]
  79. Liou, M.-S. 2006, J. Comput. Phys., 214, 137 [NASA ADS] [CrossRef] [Google Scholar]
  80. Liou, M.-S., & Steffen, C. J. 1993, J. Comput. Phys., 107, 23 [Google Scholar]
  81. Lumley, J. L. 1978, In: Advances in Applied Mechanics. Volume 18. (A79–47538 21–34) New York, 18, 123 [Google Scholar]
  82. Maeder, A., & Mermilliod, J. C. 1981, A&A, 93, 136 [NASA ADS] [Google Scholar]
  83. Magic, Z., Serenelli, A., Weiss, A., & Chaboyer, B. 2010, ApJ, 718, 1378 [NASA ADS] [CrossRef] [Google Scholar]
  84. Meakin, C. A., & Arnett, D. 2007, ApJ, 667, 448 [NASA ADS] [CrossRef] [Google Scholar]
  85. Miczek, F. 2013, Ph.D. Thesis, Max-Planck-Institut für Astrophysik, Technische Universität München [Google Scholar]
  86. Miczek, F., Röpke, F. K., & Edelmann, P. V. F. 2015, A&A, 576, A50 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  87. Mironov, D. V. 2009, Lect. Notes Phys., 756, 161 [Google Scholar]
  88. Mocák, M., Meakin, C., Campbell, S. W., & Arnett, W. D. 2018, MNRAS, 481, 2918 [CrossRef] [Google Scholar]
  89. Mombarg, J. S. G., Van Reeth, T., Pedersen, M. G., et al. 2019, MNRAS, 485, 3248 [NASA ADS] [CrossRef] [Google Scholar]
  90. Montgomery, M. H., & Kupka, F. 2004, MNRAS, 350, 267 [NASA ADS] [CrossRef] [Google Scholar]
  91. Moravveji, E., Aerts, C., Pápics, P. I., Triana, S. A., & Vandoren, B. 2015, A&A, 580, A27 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  92. Muthsam, H. J., Göb, W., Kupka, F., Liebich, W., & Zoechling, J. 1995, A&A, 293, 127 [Google Scholar]
  93. Muthsam, H. J., Göb, W., Kupka, F., & Liebich, W. 1999, New Astron., 4, 405 [Google Scholar]
  94. Ogura, Y., & Phillips, N. A. 1962, J. Atmos. Sci., 19, 173 [NASA ADS] [CrossRef] [Google Scholar]
  95. O’Mara, B., Miesch, M. S., Featherstone, N. A., & Augustson, K. C. 2016, Adv. Space Res., 58, 1475 [CrossRef] [Google Scholar]
  96. Pedersen, M. G., Aerts, C., Pápics, P. I., et al. 2021, Nat. Astron., 5, 715 [NASA ADS] [CrossRef] [Google Scholar]
  97. Pietrinferni, A., Cassisi, S., Salaris, M., & Castelli, F. 2004, ApJ, 612, 168 [Google Scholar]
  98. Pinsonneault, M. 1997, ARA&A, 35, 557 [NASA ADS] [CrossRef] [Google Scholar]
  99. Pope, S. B. 2000, Turbulent Flows (Cambridge: Cambridge University Press) [Google Scholar]
  100. Prandtl, L. 1925, ZAMM, 5, 136 [Google Scholar]
  101. Ratnasingam, R. P., Edelmann, P. V. F., & Rogers, T. M. 2020, MNRAS, 497, 4231 [NASA ADS] [CrossRef] [Google Scholar]
  102. Reynolds, O. 1894, Philos. Trans. R. Soc. Lond. Ser. A, 186, 123 [Google Scholar]
  103. Röpke, F. K., Berberich, J., Edelmann, P. F. V., et al. 2018, NIC Ser., 49, 115 [Google Scholar]
  104. Roxburgh, I. W. 1978, A&A, 65, 281 [NASA ADS] [Google Scholar]
  105. Roxburgh, I. W. 1992, A&A, 266, 291 [NASA ADS] [Google Scholar]
  106. Sander, J. 1998, Continuum Mech. Thermodyn., 10, 1 [Google Scholar]
  107. Schlattl, H., & Weiss, A. 1999, A&A, 347, 272 [NASA ADS] [Google Scholar]
  108. Schneider, F. R. N., Podsiadlowski, P., & Laplace, E. 2023, ApJ, 950, L9 [NASA ADS] [CrossRef] [Google Scholar]
  109. Snellman, J. E., Käpylä, P. J., Käpylä, M. J., Rheinhardt, M., & Dintrans, B. 2015, Astron. Nachr., 336, 32 [Google Scholar]
  110. Stellingwerf, R. F. 1982, ApJ, 262, 330 [NASA ADS] [CrossRef] [Google Scholar]
  111. Temaj, D., Schneider, F. R. N., Laplace, E., Wei, D., & Podsiadlowski, P. 2024, A&A, 682, A123 [NASA ADS] [CrossRef] [EDP Sciences] [Google Scholar]
  112. Timmes, F. X., & Swesty, F. D. 2000, ApJS, 126, 501 [NASA ADS] [CrossRef] [Google Scholar]
  113. Tremblay, P. E., Ludwig, H. G., Freytag, B., et al. 2015, ApJ, 799, 142 [NASA ADS] [CrossRef] [Google Scholar]
  114. Turner, J. S. 1986, J. Fluid Mech., 173, 431 [NASA ADS] [CrossRef] [Google Scholar]
  115. Viallet, M., Meakin, C., Arnett, D., & Mocák, M. 2013, ApJ, 769, 1 [NASA ADS] [CrossRef] [Google Scholar]
  116. Weiss, A., & Schlattl, H. 2008, Ap&SS, 316, 99 [CrossRef] [Google Scholar]
  117. Weiss, A., Hillebrandt, W., Thomas, H. C., & Ritter, H. 2004, Cox and Giuli’s Principles of Stellar Structure (Cambridge: Cambridge Scientific Publishers) [Google Scholar]
  118. Woodward, P. R., Lin, P.-H., Mao, H., Andrassy, R., & Herwig, F. 2019, J. Phys. Conf. Ser., 1225, 012020 [Google Scholar]
  119. Wuchterl, G. 1995, Comp. Phys. Commun., 89, 119 [Google Scholar]
  120. Xiong, D. R. 1978, Chinese Astronomy, 2, 118 [Google Scholar]
  121. Xiong, D. R. 1979, Acta Astron. Sin., 20, 238 [Google Scholar]
  122. Xiong, D. R., & Deng, L. 2001, MNRAS, 327, 1137 [NASA ADS] [CrossRef] [Google Scholar]
  123. Xiong, D. R., Cheng, Q. L., & Deng, L. 1997, ApJS, 108, 529 [NASA ADS] [CrossRef] [Google Scholar]
  124. Zahn, J. P. 1991, A&A, 252, 179 [Google Scholar]
  125. Zhang, Q. S. 2016, ApJ, 818, 146 [NASA ADS] [CrossRef] [Google Scholar]
  126. Zhang, Q. S., & Li, Y. 2012a, ApJ, 750, 11 [Google Scholar]
  127. Zhang, Q. S., & Li, Y. 2012b, ApJ, 746, 50 [NASA ADS] [CrossRef] [Google Scholar]

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