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An Introduction to Wave Trapping in Supergranulation | |
Auteur | Allen Walter |
Institution | National Solar Observatory/GONG Program |
Theme | Convection, dynamo and flows |
| Auteur(s) supplémentaire(s) | Dr. Frank Hill |
| Institution(s) supplémentaire(s) | National Solar Observatory |
Abstract | In this paper we solve a PDE (partial differential equation) having the form of a wave equation that will be used to model waves trapped in a supergranule. The shape of the supergranule is in the form of a hexagon and the model resulting from it is found by taking advantage of boundary conditions. Also the solution found for the PDE is done analyticaly and gravitational stratification, pressure gradients and magnetohydrodynamic effects are currently omitted (although we eventually will account for these phenomena as our model evolves). As we include non-homogeneous terms through gravity, pressure, and other perturbations, we may solve the PDE numerically through finite difference analysis. There are various questions we will seek to answer by comparing the model to HMI (Helioseismic Magnetic Imager) data. Specifically we hope to eventually answer three questions. First can we determine whether supergranules are directly convective or if they convect through smaller constructs that make up the supergranule? Secondly can we determine or get a better estimate of the depth of supergranules? Finally, can we obtain a better understanding of the fluid flow inside the supergranule? Another aspect of this study involves accounting for the behaviour of the magnetic field directly beneath supergranulation. As field lines rise through the photosphere, and as active regions are formed, we may eventually find a way to account for the solar dynamo. |