**ROSES ID:** NNH17ZDA001N **Selection Year:** 2017

**Program Element:** Focused Science Topic

**Principal Investigator:** Philip Scherrer

**Affiliation(s):** Stanford University

**Project Member(s):**

Liu, Yang Co-I/Science PI Stanford University

Makitani, Haruko S Collaborator Self

Wong, Heidi Y Collaborator Self

Hoeksema, J. Todd Co-I Stanford University

Welsch, Brian T Co-I University Of Wisconsin, Green Bay

**Summary: **

We propose to determine the relationship between helicity flux and solar eruptions. We will use SDO/HMI vector magnetic field and the velocity field inferred using the DAVE4VM algorithm to calculate helicity flux in active regions, combined with existing GOES data and CMEs catalogs to characterize eruptive activity.

The proposed project has three parts. First, we will improve the helicity flux calculation by implementing three additional processing steps to: A) minimize the 24-hour oscillation in HMI vector magnetic field data; B) determine the optimal temporal and spatial resolution of the input data; and C) improve the temporal consistency of disambiguation of the transverse vector field. Second, we will conduct a statistical study to characterize any helicity flux-eruptivity relationship. Third, we will compare the HIER model to alternatives (e.g., cumulative helicity flux matters, but not variability).

A) To reduce 24-hour variations we will employ an empirical relationship between magnetic field and Doppler velocity measurements using the method reported in our 2014 paper. The method demonstrably reduces the 24-hour power in the magnetic field data.

B) The calculation of helicity flux is sensitive to cadence, spatial resolution, and noise of the input data. The effects of these three characteristics are convolved each other. We will determine the optimal combination of parameters that provide the best results. The cadence of the HMI vector data can be as high as 90 seconds (135 seconds before April 2016) and the spatial resolution is 0.03 degrees. This leaves sufficient room to test and find the optimum.

C) The velocity field needed to calculate the flux is determined using DAVE4VM. The algorithm requires a time series of vector field data. Temporal consistency of the disambiguation is a key factor to assure derivation of a reliable velocity field. With CGEM support, we have already developed a scheme to remove temporal discontinuities in the transverse field direction. We will evaluate impact of this data improvement in flux calculations.

We will analyze helicity flux and solar eruptions in a large set of ARs. Active regions with no eruptions will also be included. We have already identified a sample of 535 ARs from HMI observation in 2010-2017, including 214 emerging active regions. This sample is sufficient for a statistical study.

The project is relevant to the Focused Science Topic (FST), "Understanding the Onset of Major Solar Eruptions." Our methods will also determine the energy flux in ARs. We will provide these improved measurements of energy and helicity fluxes calculated with the HMI vector field to the community. Other groups participating in the FST can use these key data products to drive simulations to understand process of buildup of free energy and instability, and evolution toward eruption. Theorists can also benefit from our products to understand magnetic energetics and instability. Our project directly supports a specified measure of success, "Production of critical derived data products such as Poynting flux, helicity flux injection, and free energy build up from the observables with appropriate estimates of uncertainties."

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