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In this paper, we present a new static and time-dependent MagnetoHydroDynamic(MHD) equilibrium code, TokaMaker, for axisymmetric configurations ofmagnetized plasmas, based on the well-known Grad-Shafranov equation. This codeutilizes finite element methods on an unstructured triangular grid to enablecapturing accurate machine geometry and simple mesh generation fromengineering-like descriptions of present and future devices. The new code isdesigned for ease of use without sacrificing capability and speed through acombination of Python, Fortran, and C/C++ components. A detailed description ofthe numerical methods of the code, including a novel formulation of theboundary conditions for free-boundary equilibria, and validation of theimplementation of those methods using both analytic test cases and cross-codevalidation is shown. Results show expected convergence across tested polynomialorders for analytic and cross-code test cases.

TokaMaker: An open-source time-dependent Grad-Shafranov tool for the design and modeling of axisymmetric fusion devices