Hudson, Stuart RDewar, RobertHole, MatthewMcGann, Mathew2015-12-070741-3335http://hdl.handle.net/1885/28341We describe a magnetohydrodynamic constrained energy functional for equilibrium calculations that combines the topological constraints of ideal MHD with elements of Taylor relaxation. Extremizing states allow for partially chaotic magnetic fields and non-trivial pressure profiles supported by a discrete set of ideal interfaces with irrational rotational transforms. Numerical solutions are computed using the Stepped Pressure Equilibrium Code, and benchmarks and convergence calculations are presented.Keywords: Constrained energy; Discrete sets; Equilibrium calculation; Magnetohydrodynamic equilibria; Non-trivial; Numerical solution; Pressure profiles; Rotational transform; Taylor relaxation; Topological constraints; Chaotic systems; Convergence of numerical met201110.1088/0741-3335/54/1/0140052016-02-24