Assimilative 3D Models of Density and Temperature in the Solar Corona

Statistics – Computation

Scientific paper

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0520 Data Analysis: Algorithms And Implementation, 3245 Probabilistic Forecasting (3238), 3260 Inverse Theory, 6982 Tomography And Imaging (7270, 8180), 7509 Corona

Scientific paper

White-light and extreme ultraviolet images of the solar corona, as measured routinely by a variety of dedicated space- and ground-based instruments, offer an opportunity for empirical determination of the global, 3D distribution of density and temperature in the Sun's corona. In this work, we describe a 3D model for the estimation of coronal density from polarized brightness measurements and a coronal temperature model based on differential emission measure tomography. The computational solutions of the associated inverse problems, which utilize LASCO, MK-4, and EIT measurements at different solar rotation angles, yield reliable reconstructions of persistent, large-scale structures. The characterization of transient disturbances responsible for space weather phenomena, however, demands new developments in data assimilation and statistical estimation theory. We present a state-space framework capable of dynamically estimating the time-varying state of the corona. The 3D, time-dependent nature of the estimation scheme demands algorithms that scale well with the problem size. We describe recursive estimation techniques which dramatically reduce computational complexity and enable data-assimilative global models of the solar corona. Finally, implications for data assimilation with STEREO are discussed.

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