Greifswald 2024 – scientific programme
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EP: Fachverband Extraterrestrische Physik
EP 2: Planets in their Environment
EP 2.1: Talk
Tuesday, February 27, 2024, 14:30–14:45, ELP 1: HS 1.22
Conformal mapping for the astrophysical flow and magnetic field problems — •Yasuhito Narita1, Daniel Schmid2, and Henry Holzkamp1 — 1Institut für Theoretische Physik, TU Braunschweig, Germany — 2Space Research Institute, Austrian Academy of Sciences, Graz, Austria
Determining the plasma flow and magnetic field in the magnetosehath domain is a challenge both in space and astrophysical plasmas. We develop a novel algorithm of the conformal mapping to exactly transform the Kobel-Flückiger magnetosheath scalar potential onto a user-specified, arbitrary geometry of the magnetosheath domain. The algorithm starts with the outer and innter boundary models (e.g., bow shock and magnetopause locations in the case of planetary magnetospheres). The shell variable v is constructed by smoothly interpolating between the two boundaries, and the connector variable u (connecting between the two boundaries in an orthogonal fashion to the shell variable) is determined by evaluating the gradient of the shell variable along the shell segment under the Cauchy-Riemann relations. The conformal mapping method is computationally by far inexpensive, and retains the exactness character of the steady-state magnetosheath solution. The method has a wide range of applications such as validating the numerical simulations, planning the space (planetary and heliospheric) missions, and even estimating the solar wind condition from the magnetosheath data.
Keywords: flow and magnetic field modeling; scalar potential; planetary magnetosheath