Topic/Type: 2.1 MHD, EHD & other fluid methods, Poster

Development and applications of HiFi -- adaptive, implicit, high order finite element code for general multi-fluid applications.

V.S. Lukin1, A.H. Glasser2, W. Lowrie2, E. Meier2

1 Naval Research Laboratory, Washington, DC, USA
2 Plasma Science and Innovation Center, U. of Washington, Seattle, WA, USA

A three-dimensional (3D) implicit high order finite (spectral) element code HiFi, based on the well established two-dimensional SEL code[1], is now operational and continues to be developed jointly at the US Naval Research Laboratory and the PSI-Center of the University of Washington. The distinguishing capabilities of the code include fully 3D adaptive spectral element spatial representation with flexible multi-block geometry, highly parallelizable implicit time advance, and general flux-source form of the PDEs and boundary conditions that can be implemented in its framework. The two-dimensional version of the code has been extensively verified and used for simulations of various multi-fluid plasma phenomena, including magnetic reconnection, cylindrical tokamak sawtooth oscillations, FRC translation and compression, and solar CME evolution. The first successful 3D application of HiFi has been the study of the dynamics of spheromak magnetic field relaxation to a fully three-dimensional lowest energy Taylor state with a viscous Hall MHD model. Further 3D code verification studies and the continued development efforts are ongoing and will be discussed.

[1] V.S. Lukin, Ph.D. Dissertation, Princeton University (2007).