Numerical formulations for accurate magnetic field flow tracing in fusion tokamaks

摘要

We consider the problem of accurate tracing of long magnetic field lines in tokamaks for the determination of scrape off layers and plasma boundaries. The problem of the accuracy of the numerical integration is tackled. Criteria for the specific problem are introduced and discussed. Standard ODE (Ordinary Differential Equation) integrators are considered and compared with a volume preserving algorithm, with reference to prescribed accuracy requirements.