Sensitivity of Helioseismic Travel Times to the Imposition of a Lorentz Force Limiter in Computational Helioseismology
Abstract
The rapid exponential increase in the Alfvén wave speed with height above the solar surface presents a serious challenge to physical modeling of the effects of magnetic fields on solar oscillations, as it introduces a significant Courant-Friedrichs-Lewy time-step constraint for explicit numerical codes. A common approach adopted in computational helioseismology, where long simulations in excess of 10 hr (hundreds of wave periods) are often required, is to cap the Alfvén wave speed by artificially modifying the momentum equation when the ratio between the Lorentz and hydrodynamic forces becomes too large. However, recent studies have demonstrated that the Alfvén wave speed plays a critical role in the MHD mode conversion process, particularly in determining the reflection height of the upwardly propagating helioseismic fast wave. Using numerical simulations of helioseismic wave propagation in constant inclined (relative to the vertical) magnetic fields we demonstrate that the imposition of such artificial limiters significantly affects time-distance travel times unless the Alfvén wave-speed cap is chosen comfortably in excess of the horizontal phase speeds under investigation.
- Publication:
-
The Astrophysical Journal
- Pub Date:
- February 2014
- DOI:
- 10.1088/2041-8205/782/2/L26
- arXiv:
- arXiv:1401.5518
- Bibcode:
- 2014ApJ...782L..26M
- Keywords:
-
- magnetohydrodynamics: MHD;
- Sun: helioseismology;
- Sun: magnetic fields;
- Sun: oscillations;
- Astrophysics - Solar and Stellar Astrophysics
- E-Print:
- 8 pages, 5 figures, accepted by ApJL