Turbulence in astrophysics: Stars 1

Annual Review of Fluid Mechanics

Volumn 30, Issue , 1998, Pages 167-198

  Canuto, V M ^a,b   Christensen Dalsgaard, J ^c  

^a NASA GODDARD INSTITUTE FOR SPACE STUDIES   (United States)

^b Department of Earth and Environmental Sciences   (United States)

^c AARHUS UNIVERSITY   (Denmark)

Author keywords

Buoyancy; Helioseismology; Internal rotation; Turbulence

Indexed keywords

EID: 0001422627     PISSN: 00664189     EISSN: None     Source Type: Book Series    
DOI: 10.1146/annurev.fluid.30.1.167     Document Type: Article

References (118)

1. Althaus LG, Benvenuto OG. 1996. Evolution of DB white dwarfs in the Canuto-Mazzitelli theory of convection. MNRAS 278:981-84
2. Anders E, Grevesse N. 1989. Abundances of the elements: meteoritic and solar. Geochim. Cosmochim. Acta 53:197-214
3. Andersen J, Nordström B, Clausen JV. 1990. New strong evidence for the importance of convective overshooting in intermediate-mass stars. Astrophys. J. 363:L33-36
4. Ando H, Osaki Y. 1975. Nonadiabatic nonradial oscillations: an application to the five-minute oscillation of the sun. Publ. Astron. Soc. Jpn. 27:581-603
5. Antia HM. 1997. Helioseismic inferences from the GONG data. Bull. Astron. Soc. India. In press
6. Antia HM, Basu S. 1997. Effect of turbulent pressure on solar oscillation frequencies. See Pijpers et al. 1997. In press
7. Baker NH, Gough DO. 1979. Pulsations of model RR Lyrae stars. Astrophys. J. 234:232-44
8. Baker NH, Kuhfuß R. 1987. Roxburgh's criterion for convective overshooting. Astron. Astrophys. 185:117-20
9. Balmforth NJ. 1992a. Solar pulsational stability. I: pulsation-mode thermodynamics. MNRAS 255:603-31
10. Balmforth NJ. 1992b. Solar pulsational stability. III: acoustical excitation by turbulent convection. MNRAS 255:639-49
11. Balmforth NJ, Gough DO. 1990. Mixing-length theory and the excitation of solar acoustic oscillations. Solar Phys. 128:161-93
12. Basu S. 1997. Seismology of the base of the solar convection zone. MNRAS 288:572-84
13. Basu S, Antia HM. 1994. Seismology of the solar convection zone. J. Astrophys. Astron. 15:143-56
14. Basu S, Chaplin WJ, Christensen-Dalsgaard J, Elsworth Y, Isaak GR, et al. 1997. Solar internal sound speed as inferred from combined BiSON and LOWL oscillation frequencies. Mon. Not. R. Astr. Soc. In press
15. Batchelor GK. 1956. The Theory of Homogeneous Turbulence. Cambridge: Cambridge Univ. Press. 197 pp.
16. Baturin VA, Mironova IV. 1995. The method of acoustic potential for the analysis of oscillating solar models with revised convection theory. Astron. Rep. 39:105-14
17. Belmonte JA, Jones AR, Pallé PL, Roca Cortés T. 1990. Global acoustic oscillations on α Bootis. Astrophys. J. 358:595-609
18. Bogdan TJ, Cattaneo F, Malagoli A. 1993. On the generation of sound by turbulent convection. I. A numerical experiment. Astrophys. J. 407:316-29
19. Brown TM. 1984. Solar p-mode eigenfrequencies are decreased by turbulent convection. Science 226:687-89
20. Brown TM, Kennelly EJ, Korzennik SG, Nisenson P, Noyes RW, Homer SD. 1997. A radial velocity search for p-mode pulsations in 77 Bootis. Astrophys. J. 475:322-27
21. Brummel NH, Cattaneo F, Toomre J. 1995. Turbulent dynamics in the solar convective zone. Science 269:1370-79
22. Brummel NH, Hurlburt NE, Toomre J. 1996. Turbulent compressible convection. I. Flow structure and evolution. Astrophys. J. 473:494-513
23. Canuto VM. 1992. Turbulent convection with overshooting: Reynolds stress approach. Astrophys. J. 392:218-32
24. Canuto VM. 1993. Turbulent convection with overshooting: Reynolds stress approach. II. Astrophys. J. 416:331-54
25. Canuto VM. 1994. Large eddy simulation of turbulence: a subgrid scale model including shear, vorticity, rotation, and buoyancy. Astrophys. J. 428:729-52
26. Canuto VM. 1996. Turbulent convection: old and new models. Astrophys. J. 467:385-96
27. Canuto VM. 1997a. Subgrid Scales Modeling: correct models and others. Astrophys. J. 478:322-25
28. Canuto VM. 1997b. Compressible turbulence. Astrophys. J. 482:827-51
29. S. Phys. Fluids 9:1368-78
30. Canuto VM, Dubovikov MS. 1996, 1997. A dynamical model for turbulence: I-VI. Phys. Fluids 8:571-86; 587-98; 599-613. 9:2118-31; 2132-40; 2141-47
31. Canuto VM, Dubovikov MS. 1996, 1997. A dynamical model for turbulence: I-VI. Phys. Fluids 8:571-86; 587-98; 599-613. 9:2118-31; 2132-40; 2141-47
32. Canuto VM, Goldman I, Mazzitelli I. 1996. Stellar turbulent convection: a self-consistent model. Astrophys. J. 473:550-59
33. Canuto VM, Hartke GJ. 1986. Convective turbulence with rotation and magnetic fields. Astron. Astrophys. 168:89-104
34. Canuto VM, Mazzitelli I. 1991. Stellar turbulent convection: a new model and applications. Astrophys. J. 370:295-311
35. Canuto VM, Minotti FO, Ronchi C, Ypma RM, Zeman O. 1994a. Second-order closure PBL model with new third-order moments: comparison with LES data. J. Atmos. Sci. 51:1605-18
36. Canuto VM, Minotti FO, Schilling O. 1994b. Differential rotation and turbulent convection: a new Reynolds stress model and comparison with the data. Astrophys. J. 425:303-25
37. Castaing B, Gunaratne G, Helsot F, Kadanoff L, Libchaber A, et al. 1989. Scaling of hard turbulence in Rayleigh-Benard convection. J. Fluid Mech. 204:1-30
38. Cattaneo F, Brummel NH, Toomre J, Malagoli A, Hurlburt NE. 1991. Turbulent compressible convection. Astrophys. J. 370:282-94
39. Chaboyer B, Demarque P, Pinsonneault MH. 1995. Stellar models with microscopic diffusion and rotational mixing. I. Application to the Sun. Astrophys. J. 441:865-75
40. Chan KL, Sofia S. 1986. Turbulent compressible convection in deep atmosphere. III. Tests on the validity and limitation of the numerical approach. Astrophys. J. 307:222-41
41. Chaplin WJ, Elsworth Y, Isaak GR, Lines R, McLeod CP et al. 1996. Low-frequency, low-degree solar p-mode measurements from recent BiSON data. MNRAS 282:L15-19
42. Charbonneau P, Christensen-Dalsgaard J, Henning R, Schou J, Thompson MJ, Tomczyk S. 1997. Observational constraints on the dynamical properties of the shear layer at the base of the solar convection zone. In Poster Vol. Proc. IAU Symp. No. 181: Sounding Solar and Stellar Interiors, ed. FX Schmider, J Provost. Nice: Nice Obs. In press
43. Christensen-Dalsgaard J. 1997. Effects of convection on the mean solar structure. See Pijpers et al 1997. In press
44. Christensen-Dalsgaard J, Berthomieu G. 1991. Theory of solar oscillations. In Solar Interior and Atmosphere, Space Sci. Ser., ed. AN Cox, WC Livingston, M Matthews, pp. 401-78. Tucson: Univ. Ariz. Press. 1416 pp.
45. Christensen-Dalsgaard J, Däppen W, Ajukov SV, Anderson ER, Antia HM, et al. 1996. The current state of solar modeling. Science 272:1286-92
46. Christensen-Dalsgaard J, Gough DO, Libbrecht KG. 1989. Seismology of solar oscillation line widths. Astrophys. J. 341:L103-6
47. Christensen-Dalsgaard J, Monteiro MJPFG, Thompson MJ. 1995. Helioseismic estimation of convective overshoot in the Sun. MNRAS 276:283-92
48. D'Antona F, Mazzitelli I. 1996. Hot bottom burning in asymptotic giant branch stars and the turbulent convection model. Astrophys. J. 470:1093-102
49. Demarque P, Guenther DB, Kim YC. 1997. The run of superadiabaticity in stellar convection zones. I. The Sun. Astrophys. J. 474:790-97
50. Durney BR. 1996. On the influence of gradients in the angular velocity on the solar meridional motions. Solar Phys. 169:1-32
51. Duvall TL, Jefferies SM, Harvey JW, Osaki Y, Pomerantz MA. 1993. Asymmetries of solar oscillation line profiles. Astrophys. J. 410:829-36
52. Edmonds PD, Gilliland RL. 1996. K giants in 47 Tucanae: detection of a new class of variable stars. Astrophys. J. 464:L157-60
53. Elliott JR. 1997. Aspects of the solar tachocline. Astron. Astrophys. In press
54. Frisch U. 1995. Turbulence. Cambridge: Cambridge Univ. Press. 296 pp.
55. Gabriel M, 1993. On the location of the excitation of solar p-modes. Astron. Astrophys. 274:935-39
56. Ghosh P, Antia HM, Chitre SM. 1995. Seismology of the solar f-mode: I. Basic signatures of shearing velocity fields. Astrophys. J. 451:851-58
57. Gilman PA, Howard R. 1984. On the correlation of longitudinal and latitudinal motions of sunspots. Solar Phys. 93:171-75
58. Gilman PA, Miller J. 1986. Nonlinear convection of a compressible fluid in a rotating spherical shell. Astrophys. J. Suppl. 61:585-608
59. Glatzmaier G. 1985. Numerical simulations of stellar convective dynamos. II. Field propagation in the convection zone. Astrophys. J. 291:300-7
60. Goldreich P, Keeley DA. 1977. Solar seismology. II. The stochastic excitation of the solar p-modes by turbulent convection. Astrophys. J. 212:243-51
61. Goldreich P, Murray N, Kumar P. 1994. Excitation of solar p-modes. Astrophys. J. 424:466-79
62. Gough DO. 1976. The current state of stellar mixing-length theory. In Problems of Stellar Convection, ed. E Spiegel, JP Zahn, pp. 15-56. New York: Springer-Verlag. 363 pp.
63. Gough DO. 1977. Mixing-length theory for pulsating stars. Astrophys. J. 214:196-213
64. Gough DO. 1993. Course 7. Linear adiabatic stellar pulsation. In Astrophysical Fluid Dynamics, Les Houches Session XLV11, ed. J-P Zahn, J Zinn-Justin, pp. 399-560. Amsterdam: Elsevier
65. Gough DO, Toomre J. 1991. Seismic observations of the solar interior. Annu. Rev. Astron. Astrophys. 29:627-85
66. Gough DO, Weiss NO. 1976. The calibration of stellar convection theories. MNRAS 176:589-607
67. Hartke GJ, Canuto VM, Alonso CT. 1988. A DIA treatment of turbulence in a compressible fluid. Phys. Fluids 31:1034-50
68. Harvey JW, Hill F, Hubbard RP, Kennedy JR, Leibacher JW, et al. 1996. The Global Oscillation Network Group (GONG) project. Science 272:1284-86
69. Hossain M, Mullan DJ. 1991. 3D compressible hydrodynamic convection in the Sun and stars. Astrophys. J. 380:631-54
70. Houdek G. 1997. Pulsation of solar type stars. PhD Thesis. Inst. Astron., Vienna. 160 pp.
71. Innis JL, Isaak GR, Brazier RI, Belmonte JA, Palle PL, et al. 1988. High precision velocity observations of Arcturus using the 7699 Å line of potassium. In Seismology of the Sun & Sun-Like Stars, ESA SP-286, ed. V Domingo, EJ Rolfe, pp. 569-73. Noordwijk: ESTEC. 691 pp.
72. Kjeldsen H, Bedding TR, Viskum M, Frandsen S. 1995. Solarlike oscillations in η Boo. Astron. J. 109:1313-19
73. Kosovichev AG. 1996a. Helioseismic constraints on the gradient of angular velocity at the base of the solar convection zone. Astrophys. J. 469:L61-64
74. Kosovichev AG. 1996b. Tomographic imaging of the Sun's interior. Astrophys. J. 461:L55-57
75. Kosovichev AG, Schou J, Scherrer PH, Bogart RS, Bush RI, et al. 1997. Structure and rotation of the solar interior: initial results from the MDI medium-1 program. Solar Phys. 170:43-61
76. Kumar P. 1994. Properties of acoustic sources in the Sun. Astrophys. J. 428:827-36
77. Kumar P, Goldreich P. 1989. Nonlinear interactions among solar acoustic modes. Astrophys. J. 342:558-75
78. Kupka F. 1996. Beyond the MLT. In Model Atmospheres and Spectrum Synthesis, ASP Conf. Ser., ed. SJ Adelman, F Kupka, WW Weiss, 108:73-84. San Francisco: Astron. Soc. Pac. 313 pp.
79. Lesieur M. 1990. Turbulence in Fluids. Dordrecht: Kluwer Acad. 412 pp.
80. Lighthill MJ. 1952. On sound generated aerodynamically. I. General theory. Proc. R. Soc. London Ser. A 211:564-87
81. Ludwig H-G, Freytag B, Steffen M. 1997. A calibration of mixing length theory based on RHD simulations of solar-type convection. See Pijpers et al. 1997. In press
82. Marcus PS. 1986. Numerical modeling of subgrid-scale flow in turbulence, rotation, and convection. In Astrophysical Radiation Hydrodynamics, ed. K-HA Winkler, ML Norman, pp. 387-414. Dordrecht: Reidel. 590 pp.
83. Monteiro MJPFG, Christensen-Dalsgaard J, Thompson MJ. 1996. Seismic properties of the Sun's superadiabatic layer. I. Theoretical modelling and parametrization of the uncertainties. Astron. Astrophys. 307:624-34
84. Murawski K, Roberts B. 1993. Random velocity field corrections to the f-mode I. Horizontal flows. Astron. Astrophys. 272:595-600
85. Nordström B, Andersen J, Andersen MI. 1997. Critical tests of stellar evolution in open clusters. II. Membership, duplicity, and stellar and dynamical evolution in NGC 3680. Astron. Astrophys. 322:460-76
86. Paternò L, Ventura R, Canuto VM, Mazzitelli I. 1993. Helioseismological test of a new model for stellar convection. Astrophys. J. 402:733-40
87. Pijpers FP, Christensen-Dalsgaard J, Rosenthal CS, eds. 1997. Solar Convection, Oscillations and Their Relationship; SCORe'96. Dordrecht: Kluwer Acad. In press
88. Pijpers FP, Thompson MJ. 1992. Faster formulations of the optimally localized averages method for helioseismic inversion. Astron. Astrophys. 262:L33-36
89. Pinsonneault MH, Kawaler SD, Sofia S, Demarque P. 1989. Evolutionary models of the rotating Sun. Astrophys. J. 338:424-52
90. Pulkinnen P, Tuominen I, Brandenburg A, Nordlund Å, Stein R. 1993. Rotational effects on convection simulated at different latitudes. Astron. Astrophys. 267:265-74
91. Rosenthal CS, Christensen-Dalsgaard J, Houdek G, Monteiro MJPFG, Nordlund Å, Trampedach R. 1995. Seismology of the solar surface regions. In Proc. Fourth SOHO Workshop: Helioseismology, ESA SP-376, ed. JT Hoeksema, V Domingo, B Fleck, B Battrick, 2:459-464. Noordwijk: ESTEC. 555 pp.
92. Rossby HT. 1969. A study of Benard convection with and without rotation. J. Fluid Mech. 36:309-35
93. Roxburgh IW. 1989. Integral constraints on convective overshooting. Astron. Astrophys. 211:361-64
94. Rüdiger G. 1989. Differential Rotation and Stellar Convection. New York: Gordon & Breach. 328 pp.
95. Scherrer PH, Bogart RS, Bush RI, Hoeksema JT, Kosovichev AG et al. 1996. The Solar Oscillation Investigation - Michelson Doppler Imager. Solar Physics 162:129-88
96. Schilling O. 1994. A two-point closure model of turbulent compressible convection and application to stellar interiors. PhD thesis. Columbia Univ., New York. 349 pp.
97. Schou J, Christensen-Dalsgaard J, Thompson MJ. 1994. On comparing helioseismic two-dimensional inversion methods. Astrophys. J. 433:389-416
98. Spiegel EA, Zahn J-P. 1992. The solar tachocline. Astron. Astrophys. 265:106-14
99. Spruit HC, Nordlund Å, Title AM. 1990. Solar convection. Annu. Rev. Astron. Astrophys. 28:263-301
100. Spruit HC. 1997. Convection in stellar envelopes: the changing paradigm. Mem. Soc. Astr. It. In press
101. Stein RF. 1967. Generation of acoustic and gravity waves by turbulence in an isothermal stratified atmosphere. Solar Phys. 2:385-432
102. Stein RF, Nordlund Å. 1989. Topology of convection beneath the solar surface. Astrophys. J. 342:L95-98
103. Stein RF, Nordlund Å. 1991. Convection and its influence on oscillations. In Challenges to Theories of the Structure of Moderate-Mass Stars, Lect. Notes Phys., ed. DO Gough, J Toomre, 388:195-212. Heidelberg: Springer-Verlag
104. Stothers RB, Chin Cw. 1991. Metal opacities and convective core overshooting in population I stars. Astrophysics. J. 381:L67-70
105. Stothers RB, Chin Cw. 1995. Tests of two convection theories for red giants and red supergiants envelopes. Astrophys. J. 440:297-302
106. Stothers RB, Chin Cw. 1997. The mixing length in convective stellar envelopes is proportional to distance from convective boundary. Astrophys. J. Lett. 478:L103-6
107. Tilgner A, Busse FH. 1997. Finite amplitude convection in rotating spherical fluids. J. Fluid Mech. 32:1-18
108. Tomczyk S, Streander K, Card G, Elmore D, Hull H, Caccani A. 1995a. An instrument to observe low-degree solar oscillations. Solar Phys. 159:1-21
109. Tomczyk S, Schou J, Thompson MJ. 1995b. Measurement of the rotation rate in the deep solar interior. Astrophys. J. 448:L57-60
110. Tomczyk S, Schou J, Thompson MJ. 1996. Low-degree frequency splitting measurements and the rotation of the solar core. Bull. Astron. Soc. Ind. 24:245-50
111. Trampedach R, Christensen-Dalsgaard J, Nordlund Å, Stein RF. 1997. Near-surface constraints on the structure of stellar convection zones. See Pijpers et al 1997. In press
112. VandenBerg DA. 1992. Oxygen-enhanced models for globular cluster stars. I. Evolutionary tracks. Astrophys. J. 391:685-709
113. VandenBerg DA. 1997. Globular cluster ages: Are they converging? In Proc. IAU Symp. No 189, Fundamental Stellar Properties: The Interaction between Observation and Theory, ed. TR Bedding, AJ Booth, J Davis, pp. 439-48. Dordrecht: Kluwer Acad. 478 pp.
114. VandenBerg DA, Bolte M, Stetson PB. 1996. The age of the galactic globular cluster system. Annu. Rev. Astron. Astrophys. 34:461-510
115. Xiong DR, Cheng QL, Deng L. 1997. Non-local, time-dependent convection theory. Astrophys. J. Suppl. 108:529-44
116. Yoshizawa A. 1995. Simplified statistical approach to complex turbulent flows and ensemble-mean compressible turbulent modeling. Phys. Fluids 7:3105-17
117. Zahn J-P. 1991. Convective penetration in stellar interiors. Astron. Astrophys. 252:179-88
118. Zhugzhda YD, Stix M. 1994. Acoustic waves in structured media and helioseismology. Astron. Astrophys. 291:310-19