ECOM: a fast and accurate solver for toroidal axisymmetric MHD equilibria
arXiv:1409.3523 · doi:10.1016/j.cpc.2015.01.015
Abstract
We present ECOM (Equilibrium solver via COnformal Mapping), a fast and accurate fixed boundary solver for toroidally axisymmetric magnetohydrodynamic equilibria with or without a toroidal flow. ECOM combines conformal mapping and Fourier and integral equation methods on the unit disk to achieve exponential convergence for the poloidal flux function as well as its first and second partial derivatives. As a consequence of its high order accuracy, for dense grids and tokamak-like elongations ECOM computes key quantities such as the safety factor and the magnetic shear with higher accuracy than the finite element based code CHEASE [H. Lütjens \textit{et al.}, Computer physics communications 97, 219 (1996)] at equal run time. ECOM has been developed to provide equilibrium quantities and details of the flux contour geometry as inputs to stability, wave propagation and transport codes.
arXiv comment25 pages, 9 figures
References in corpus (5)
- Direct multiscale coupling of a transport code to gyrokinetic turbulence codes
- Turbulent transport in tokamak plasmas with rotational shear
- Zero-Turbulence Manifold in a Toroidal Plasma
- A fast, high-order solver for the Grad-Shafranov equation
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- Up-down asymmetric tokamaks
- An analytic scaling relation for the maximum tokamak elongation against n=0 MHD resistive wall modes
- An adaptive discontinuous Petrov-Galerkin method for the Grad-Shafranov equation
- Effect of the Shafranov shift and the gradient of on intrinsic momentum transport in up-down asymmetric tokamaks
- Accurate Derivative Evaluation for any Grad-Shafranov Solver