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Simulation domain in field-aligned coordinates of the electrostaticgyrokinetic nonlinear turbulence global code, NLT, is extended to include themagnetic axis. The artificial boundary near the magnetic axis is replaced bythe natural boundary. The singularity at the magnetic axis in Vlasov solver istreated by considering the spatial relation of fixed grid points infield-aligned coordinates. A new Poisson's equation solver is developed, thecoefficient matrix of algebraic equations is derived by using Gauss's theorem.Nonlinear relaxation test of the ITG turbulence with adiabatic electrons isperformed. The gyrocenter conservation is much improved by including themagnetic axis in the simulation domain. The zonal field and the radialdistribution of the perturbed electrostatic potential are different fromprevious results without the magnetic axis.

Gyrokinetic simulation of ITG turbulence with toroidal geometry including the magnetic axis by using field-aligned coordinates