Isogeometric analysis in reduced magnetohydrodynamics

A. Ratnani; E. Sonnendrücker

doi:10.1088/1749-4699/5/1/014007

Isogeometric analysis in reduced magnetohydrodynamics

A. Ratnani, E. Sonnendrücker

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

Isogeometric analysis (IGA) consists of using computer-aided design (CAD) models defining the geometry of the computational domain using both B-splines and non-uniform rational B-splines (NURBS) to represent the unknowns that are the solution of a partial differential equation using a finite element principle. In this paper, we review the main ideas of IGA and apply it to a reduced magnetohydrodynamic (MHD) model that is used in tokamak simulations. This is a first step towards arbitrary high-order and smooth approximations of reduced MHD generalizing the Bézier splines approach of Czarny and Huysmans (2008 J.Comput. Phys. 227 7423-45).

Original language	English
Article number	014007
Journal	Computational Science and Discovery
Volume	5
Issue number	1
DOIs	https://doi.org/10.1088/1749-4699/5/1/014007
State	Published - Jan 2012
Externally published	Yes

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Isogeometric analysis in reduced magnetohydrodynamics

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