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AAS/SPD, 2005 (#SH13A-06)
"The MHD simulation on the coronal plasma in radially shrinking open magnetic flux tubes"
Hayashi, K., Zhao, X. P. and Poduval, B.
      Open field regions in the corona, or coronal holes, have been believed to be rapidly expanding with their flux tube expansion factors, FTEs, greater than 1. We present the MHD simulation results of three-dimensional solar corona, focusing on the open field regions with FTEs less than 1. Most of such radially shrinking magnetic flux tubes are found to be rooted on the weak open field region sandwiched between two strong open field regions with FTEs greater than 1 and with same magnetic polarity as the weak region. The flow speeds at the shrinking magnetic flux tubes obtained with our MHD simulation are less dependent on FTEs, while the inverse relationship between the flow speed and FTE is obtained at the usual expanding magnetic flux tubes. This finding increases the complex in using the FTE to predict the solar wind speed, and may be used to better understand the coronal plasma expansion.

AGU fall meeting, 2003 (#SH42B-0524)
"Solar corona obtained with MHD simulation using various boundary treatments based on characteristic projection method"
Hayashi, K.
      We will present the results of the experimental time-dependent MHD simulation of the solar corona, with various boundary treatments based on the concept of characteristics projection method. This method allows us to make the choices of the boundary treatment rather arbitrarily, and it is possible that the results may depend on them. We examined this point using TVD-MUSCL MHD code and found that, among the choice we made, a two-stage boundary treatment, where (i) the plasma density and temperature are fixed if 0 ≤ Vr ≤ Vc and (ii) the radial flow speed is reset to be Vc and instead the temperature is changeable if Vr ≥ Vc, with the criteria flow speed Vc = 5.0 km/s, provides the steady solar wind best matching the reality, for example, the uniform plasma and magnetic field at the high heliographic latitude regions. This study is a part of our effort to construct the three-dimensional MHD simulation model of solar corona using SOHO/MDI data.

AGU fall meeting, 2001 (#SH31A-0697)
"MHD tomography using IPS observations"
Hayashi, K., Kojima, M., Tokumaru, M., and Fujiki, K.
      We will present the tomography analysis method to derive three-dimensional solar wind structures from IPS observations using MHD simulation. By incorporating MHD simulation in tomography analysis, we can treat the nonlinear MHD interactions in solar wind and examine the spatial variation at the stream-stream interaction regions and spiral structure of IMF. Therefore, MHD tomography will improve the global solar wind structure derived from IPS measurement data. The method is based on the concept of the tomography, and the practical calculation is done as iteration procedure. At the first step of iteration, MHD simulation is carried out with given provisional boundary conditions, and the numerical three-dimensional solar wind is made. At the next step, the IPS observations are simulated in this three-dimensional solar wind. The differences between the actual IPS measurement and the numerically reproduced ones are traced back along streamlines onto the inflow boundary surface. Then, the velocity distribution on the boundary surface is modified so that the differences may be cancelled. For the MHD simulation, the boundary conditions of other solar wind parameters, density, temperature and magnetic field, are determined as follows. The density and temperature are determined by empirical relations to the velocity, and magnetic field is determined from the potential field approximation. The three-dimensional solar wind structures derived from this analysis were compared with the in-situ measurement data made by Ulysses and WIND, and good agreements were contained among them.

JGUM, 2001
"The three-dimensional structure of the solar wind determined by combining the MHD simulation and the IPS observation data"
Keiji Hayashi, Masayoshi Kojima, Munetoshi Tokumaru, and Ken'ichi Fujiki
      The MHD simulation model to determine the three-dimensional solar wind structure by introducing the IPS observation data made at STEL of Nagoya University is presented. Giving the inner boundary conditions that are determined from the IPS observations data and some assumptions, we can calculate the solar wind structure in the space from 0.25 to 5 AU that are consistent with both the basic equations and the observed data. Various agreements are seen in the comparison with the nearby-Earth and Ulysses data, while these in-situ data have been made independently of our simulation model.

COSPAR scientific assembly, 2000 (#PSW1-0073)
"The speed of the solar wind and the solar surface and coronal magnetic field"
K. Hayashi and H. Yoshimura
      We found that there is a positive correlation between the speed of the solar wind flow at about 20 solar radii and an index of the solar surface magnetic field at the footpoint of the streamline of the solar wind flow in a series of numerical simulation experiment of the nonlinearly coupled solar wind flow and magnetic field. The solar wind flow is faster when the footpoint of its streamline is more distant from the nearest closed boundary line at the solar surface made by the footpoints of the closed coronal magnetic field lines, and when the surface magnetic field along the distance is stronger.