HINST: A 2-D Code for High-n TAE Stability

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A high-n stability code, HINST, has been developed to study the stability of TAE (Toroidicity-induced Alfvén Eigenmodes) in large tokamaks, such as ITER [International Thermonuclear Experimental Reactor], where the spectrum of unstable TAE modes is shifted toward medium- to high-n modes. The code solves the 2-D eigenmode problem by expanding the eigenfunction in terms of basis functions. Based on the Fourier-ballooning formalism the eigenmode problem is reduced to a system of coupled 1-D equations, which is solved numerically by using the finite element method and a SPARSE matrix solver. The numerical method allows including nonperturbatively non-ideal effects, such as: full ... continued below

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Cheng, C.Z.; Gorelenkov, N.N. & Tang, W.M. April 1, 1998.

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Description

A high-n stability code, HINST, has been developed to study the stability of TAE (Toroidicity-induced Alfvén Eigenmodes) in large tokamaks, such as ITER [International Thermonuclear Experimental Reactor], where the spectrum of unstable TAE modes is shifted toward medium- to high-n modes. The code solves the 2-D eigenmode problem by expanding the eigenfunction in terms of basis functions. Based on the Fourier-ballooning formalism the eigenmode problem is reduced to a system of coupled 1-D equations, which is solved numerically by using the finite element method and a SPARSE matrix solver. The numerical method allows including nonperturbatively non-ideal effects, such as: full ion FLR [Finite Larmor Radius], trapped-electron collisional damping, etc. The 2-D numerical results of TAE and Resonance TAE [RTAE] modes are compared with those from local ballooning calculations and global MHD NOVA code. The results show that for ITER-like plasma parameters, TAE and RTAE modes can be driven unstable by alpha particles for n = 10 - 20. The growth rate for the most unstable mode is within the range lambda divided by omega sub A approximately equal to 0.3 - 1.5%. The most unstable modes are localized near r = a approximately equal to 0.5 and have a broad radial mode envelope width.

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379 Kilobytes

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  • Other: DE00003758
  • Report No.: PPPL-3295
  • Grant Number: AC02-76CH03073
  • DOI: 10.2172/3758 | External Link
  • Office of Scientific & Technical Information Report Number: 3758
  • Archival Resource Key: ark:/67531/metadc676172

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  • April 1, 1998

Added to The UNT Digital Library

  • July 25, 2015, 2:20 a.m.

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  • April 15, 2016, 7:56 p.m.

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Cheng, C.Z.; Gorelenkov, N.N. & Tang, W.M. HINST: A 2-D Code for High-n TAE Stability, report, April 1, 1998; Princeton, New Jersey. (digital.library.unt.edu/ark:/67531/metadc676172/: accessed September 24, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.