Speaker
Description
The ion-temperature-gradient (ITG) mode is one of the most extensively studied drift-wave instabilities[1]. In the linear regime, unlike initial-value codes which require time evolution, eigenvalue codes can efficiently compute eigenvalues and eigenmode structures, which are useful for analyzing experimental observations[2]. Existing eigenvalue solvers — including solvers developed in ballooning space or Fourier space — either rely on high toroidal number approximations or simplifying assumptions (e.g., well-circulating particles).
In this work, we derive the two-dimensional (2D) gyrokinetic eigenvalue equations for the ITG modes in the poloidal Fourier space based on the Vlasov-Poisson system, and develop the ESR2D (2D eigenvalue solver in real space) code. This code treats passing and trapped ions in a unified way without simplifying assumptions, and it applies to arbitrary wavelengths. In the linear ITG Cyclone test, the 2D gyrokinetic eigenvalue problem for the electrostatic ITG modes with adiabatic electrons is solved by ESR2D and the results show good agreement with those from the gyrokinetic initial-value codes GENE, NLT and ORB5.
Reference
[1] W. Horton, Rev. Mod. Phys. 71, 735-778 (1999).
[2] J. Dong, G. Jian, A. Wang, H. Sanuki and K. Itoh, Nucl. Fusion 43, 1183 (2003).