Forward Modeling Helioseismic Signatures of One- and Two-cell Meridional Circulation

Abstract

Using a 3D global solver of the linearized Euler equations, we model acoustic oscillations over background velocity flow fields of single-cell meridional circulation with deep and shallow return flows as well as double-cell meridional circulation with strong and weak reversals. The velocities are generated using a mean-field hydrodynamic and dynamo model -- moving through the regimes with minimal parameter changes; counter-rotation near the base of the tachocline is induced by sign inversion of the non-diffusive action of turbulent Reynolds stresses ($\Lambda$-effect) due to the radial inhomogeneity of the Coriolis number. By mimicking the stochastic excitation of resonant modes in the convective interior, we simulate realization noise present in solar observations. Using deep-focusing to analyze differences in travel-time signatures between the four regimes, as well as comparing to solar observations, we show that current helioseismology techniques may offer important insights about the location and strength of the return flow, however, that it may not currently be possible to definitively distinguish between profiles of single-cell or double-cell meridional circulation.

References in corpus (37)

• Helioseismology
• Detection of Equatorward Meridional Flow and Evidence of Double-Cell Meridional Circulation inside the Sun
• Turbulent Convection Under the Influence of Rotation: Sustaining a Strong Differential Rotation
• Solar differential rotation and meridional flow: The role of a subadiabatic tachocline for the Taylor-Proudman balance
• From solar-like to anti-solar differential rotation in cool stars
• Meridional Circulation in Solar and Stellar Convection Zones
• Solar Meridional Circulation from Doppler Shifts of the Fe I line at lambda 5250 Angstroms as Measured by the 150-foot Solar Tower Telescope at the Mt. Wilson Observatory
• Differential rotation in solar-like stars from global simulations
• Acoustic tomography of solar convective flows and structures
• Systematic Center-to-Limb Variation in Measured Helioseismic Travel Times and Its Effect on Inferences of Solar Interior Meridional Flows
• Global helioseismic evidence for a deeply penetrating Solar meridional flow consisting of multiple flow cells
• Meridional circulation in the solar convection zone: time-distance helioseismic inferences from four years of HMI/SDO observations
• Confirmation of bistable stellar differential rotation profiles
• Libsharp - spherical harmonic transforms revisited
• Supergranules as Probes of the Sun's Meridional Circulation
• Meridional Flow in the Solar Convection Zone II: Helioseismic Inversions of GONG Data
• Prospects for the Detection of the Deep Solar Meridional Circulation
• A Comprehensive Method to Measure Solar Meridional Circulation and Center-to-Limb Effect Using Time-Distance Helioseismology
• The differential rotation of G dwarfs
• Modeling of differential rotation in rapidly rotating solar-type stars
• Meridional Flow in the Solar Convection Zone I: Measurements from GONG Data
• Three dimensional numerical simulations of acoustic wave field in the upper convection zone of the Sun
• Differential rotation of main-sequence dwarfs: predicting the dependence on surface temperature and rotation rate
• Evolution of Near-surface Flows Inferred from High-resolution Ring-diagram Analysis
• On the Origin of Solar Torsional Oscillations and Extended Solar Cycle
• Meridional flow profile measurements with SOHO/MDI
• Inversions for Deep Solar Meridional Flow Using Spherical Born Kernels
• The Role of Downflows in Establishing Solar Near-Surface Shear
• Theory of differential rotation and meridional circulation
• Imaging the Solar Tachocline by Time-Distance Helioseismology
• Solar wave-field simulation for testing prospects of helioseismic measurements of deep meridional flows
• Double-Cell Type Solar Meridional Circulation Based on Mean-Field Hydrodynamic Model
• On the origin of the double cell meridional circulation in the solar convection zone
• Analytical models for Cross-correlation signal in Time-Distance Helioseismology
• Propagating Linear Waves in Convectively Unstable Stellar Models: a Perturbative Approach
• Helioseismic Modeling of Background Flows
• Time-Distance Helioseismology of Deep Meridional Circulation

Cited by in corpus (4)

• Turbulent processes and mean-field dynamo
• The Extended Solar Cycle and Asymmetry of the Large-Scale Magnetic Field
• Implicit large eddy simulations of global solar convection: effects of numerical resolution in non-rotating and rotating cases
• Constraining Global Solar Models through Helioseismic Analysis