Conceptual design of the international fusion materials irradiation facility (IFMIF)

Shannon, T.E.; Jameson, Robert; Katsuta, H; Maekawa, Hiroshi; Martone, M.; Möslang, A.; Teplyakov, V.A.; Rennich, M.J.

doi:10.1016/s0022-3115(98)00265-7

Cited by 16 publications

(13 citation statements)

References 9 publications

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“…(4.4), according to which the stiffness and mass matrices are to be computed, has different instantiations, depending on the forms K and M of the variational problem at hand (Defs. [1][2][3][4], and the corresponding choice of basis functions (Def. 6).…”

Section: Constructing the Stiffness And Mass Matricesmentioning

confidence: 99%

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A spectral Galerkin method for the coupled Orr–Sommerfeld and induction equations for free-surface MHD

Giannakis

Fischer

Rosner

2009

Journal of Computational Physics

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We develop and test spectral Galerkin schemes to solve the coupled Orr-Sommerfeld (OS) and induction equations for parallel, incompressible MHD in free-surface and fixed-boundary geometries. The schemes' discrete bases consist of Legendre internal shape functions, supplemented with nodal shape functions for the weak imposition of the stress and insulating boundary conditions. The orthogonality properties of the basis polynomials solve the matrixcoefficient growth problem, and eigenvalue-eigenfunction pairs can be computed stably at spectral orders at least as large as p = 3,000 with p-independent roundoff error. Accuracy is limited instead by roundoff sensitivity due to non-normality of the stability operators at large hydrodynamic and/or magnetic Reynolds numbers (Re, Rm 4 × 10 4 ). In problems with Hartmann velocity and magnetic-field profiles we employ suitable Gauss quadrature rules to evaluate the associated exponentially weighted sesquilinear forms without error. An alternative approach, which involves approximating the forms by means of Legendre-Gauss-Lobatto (LGL) quadrature at the 2p − 1 precision level, is found to yield equal eigenvalues within roundoff error. As a consistency check, we compare modal growth rates to energy growth rates in nonlinear simulations and record relative discrepancy smaller than 10 −5 for the least stable mode in free-surface flow at Re = 3 × 10 4 . Moreover, we confirm that the computed normal modes satisfy an energy conservation law for free-surface MHD with error smaller than 10 −6 . The critical Reynolds number in free-surface MHD is found to be sensitive to the magnetic Prandtl number Pm, even at the Pm = O(10 −5 ) regime of liquid metals.

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Section: Constructing the Stiffness And Mass Matricesmentioning

confidence: 99%

“…In §A.1- §A. 3 we consider the T matrices, defined in (4.22) and (4.31), whose elements can be stably evaluated in closed form by means of the orthogonality properties of the Legendre polynomials (4.7). We then describe, in §A.…”

Section: Appendix a Matrix Representations Of The Schemes' Forms Andmentioning

confidence: 99%

A spectral Galerkin method for the coupled Orr–Sommerfeld and induction equations for free-surface MHD

Giannakis

Fischer

Rosner

2009

Journal of Computational Physics

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“…International Fusion Materials Irradiation Facility (IFMIF) is an accelerator-driven neutron irradiation facility to develop materials for DEMO, a demonstration fusion reactor next to ITER [1][2][3]. For the IFMIF construction, the Engineering Validation and Engineering Design Activities (EVEDA) have been started.…”

Section: Introductionmentioning

confidence: 99%

Design of gamma-ray and neutron area monitoring system for the IFMIF/EVEDA accelerator building

Takahashi¹,

Maebara²,

Kojima³

et al. 2011

Fusion Engineering and Design

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“…As neutrons which are produced in the stripping reaction with a broad energy maximum peaked at 14-16 MeV, are mainly collided in the forward direction, the test modules housing the test pieces (TPs) to be irradiated are positioned immediately adjacent to the lithium target. More details of the technical concept for the IFMIF are presented in related papers [1][2][3][4][5]. The IFMIF test module and TP testing areas must be capable of accommodating the wide range of environments associated with fusion reactor materials, discussed precisely in Refs.…”

Section: Introductionmentioning

confidence: 99%

Numerical examination of temperature control in helium-cooled high flux test module of IFMIF

Ebara

Yokomine

Shimizu

2007

Fusion Engineering and Design

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Conceptual design of the international fusion materials irradiation facility (IFMIF)

Cited by 16 publications

References 9 publications

A spectral Galerkin method for the coupled Orr–Sommerfeld and induction equations for free-surface MHD

A spectral Galerkin method for the coupled Orr–Sommerfeld and induction equations for free-surface MHD

Design of gamma-ray and neutron area monitoring system for the IFMIF/EVEDA accelerator building

Numerical examination of temperature control in helium-cooled high flux test module of IFMIF

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