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NONLINEAR BEHAVIOR OF SOLAR GRAVITY MODES DRIVEN BY HE-3 IN THE CORE .2. NUMERICAL SIMULATIONS

by: W. J. MERRYFIELD, J. TOOMRE, and D. GOUGH

In: ASTROPHYSICAL JOURNAL, Vol. 367, Nr. 2 (1991) , p. 658--665.

Abstract

The nonlinear behavior of gravity-mode oscillations driven by He-3-destroying reactions in the solar core has been examined by numerically integrating equations describing a very simplified model. The results of a previous bifurcation analysis, which suggest that such oscillations are unlikely to attain amplitudes sufficient to trigger core convection, are verified. These results are extended to models whose nuclear reaction rates and thermal stratification represent the core somewhat more accurately. In addition we find that nonlinear processes give rise to a preference for the oscillations to develop as standing waves rather than traveling waves, thus breaking the degeneracy between these two types of motion which exists in linearized theory. Our attempts to study the large-amplitude behavior of the oscillations are hindered by a tendency for the model to become thermally unstable.

BibTeX record

@article{MERRYFIELD1991,
  abstract = {The nonlinear behavior of gravity-mode oscillations driven by He-3-destroying
	reactions in the solar core has been examined by numerically integrating
	equations describing a very simplified model. The results of a previous
	bifurcation analysis, which suggest that such oscillations are unlikely
	to attain amplitudes sufficient to trigger core convection, are verified.
	These results are extended to models whose nuclear reaction rates
	and thermal stratification represent the core somewhat more accurately.
	In addition we find that nonlinear processes give rise to a preference
	for the oscillations to develop as standing waves rather than traveling
	waves, thus breaking the degeneracy between these two types of motion
	which exists in linearized theory. Our attempts to study the large-amplitude
	behavior of the oscillations are hindered by a tendency for the model
	to become thermally unstable.},
  added-at = {2009-11-03T20:21:25.000+0100},
  author = {MERRYFIELD, W. J. and TOOMRE, J. and GOUGH, D.},
  biburl = {http://www.bibsonomy.org/bibtex/29a2b6c6665c3fdc54429d24b167fafde/svance},
  citedreferences = {BAHCALL JN, 1976, Science, V191, P264 ; BAHCALL JN, 1985, SOL PHYS, V100, P53 ; BOURY A, 1975, ASTRON ASTROPHYS, V41, P279 ; CARROLL BW, 1982, APJ, V263, P352 ; CASH JR, 1980, BIT, V20, P44 ; CHRISTENSENDALS.J, 1974, MON NOT R ASTRON SOC, V169, P429 ; DEANE AE, 1987, PHYS REV A, V36, P2862 ; DILKE FWW, 1972, Nature, V240, P262 ; DZIEMBOWSKI W, 1983, SOL PHYS, V82, P259 ; GABRIEL M, 1976, ASTRON ASTROPHYS, V47, P137 ; GAZDAG J, 1976, J COMPUT PHYS, V20, P196 ; KNOBLOCH E, 1986, CONT MATH, V56, P203 ; LATOUR J, 1976, ASTROPHYS J, V207, P233 ; MERRYFIELD WJ, 1990, AP J, V353, P678 ; ORSAG SA, 1985, 88 P INT SCH PHYS E, P23 ; SAIO H, 1980, ASTROPHYS J, V240, P685 ; SHIBAHASHI H, 1975, PUB ASTR SOC JAPAN, V27, P400 ; SMITH MA, 1985, ASTROPHYS J, V288, P266 ; TURNER JS, 1979, BUOYANCY EFFECTS FLU ; WALKER GAH, 1987, APJ, V320, L139},
  interhash = {c7f2819a788633f15d240821e76c4360},
  intrahash = {9a2b6c6665c3fdc54429d24b167fafde},
  journal = {ASTROPHYSICAL JOURNAL},
  keywords = {CONVECTION; NON-RADIAL OSCILLATIONS; STABILITY STAR;},
  number = 2,
  owner = {svance},
  pages = {658--665},
  timestamp = {2009-11-03T20:21:25.000+0100},
  title = {NONLINEAR BEHAVIOR OF SOLAR GRAVITY MODES DRIVEN BY HE-3 IN THE CORE .2. NUMERICAL SIMULATIONS},
  volume = 367,
  year = 1991
}

Endnote record

%0 Journal Article
%1 MERRYFIELD1991
%A MERRYFIELD, W. J.
%A TOOMRE, J.
%A GOUGH, D.
%D 1991
%J ASTROPHYSICAL JOURNAL
%K 
%N 2
%P 658--665
%T NONLINEAR BEHAVIOR OF SOLAR GRAVITY MODES DRIVEN BY HE-3 IN THE CORE .2. NUMERICAL SIMULATIONS
%V 367
%X The nonlinear behavior of gravity-mode oscillations driven by He-3-destroying
	reactions in the solar core has been examined by numerically integrating
	equations describing a very simplified model. The results of a previous
	bifurcation analysis, which suggest that such oscillations are unlikely
	to attain amplitudes sufficient to trigger core convection, are verified.
	These results are extended to models whose nuclear reaction rates
	and thermal stratification represent the core somewhat more accurately.
	In addition we find that nonlinear processes give rise to a preference
	for the oscillations to develop as standing waves rather than traveling
	waves, thus breaking the degeneracy between these two types of motion
	which exists in linearized theory. Our attempts to study the large-amplitude
	behavior of the oscillations are hindered by a tendency for the model
	to become thermally unstable.