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Time-spectral modelling of drift wave turbulence
KTH, School of Electrical Engineering (EES), Fusion Plasma Physics.ORCID iD: 0000-0001-6379-1880
2013 (English)In: 55th Annual Meeting of the APS Division of Plasma Physics, Denver, Colorado, USA, 11-15 November, 2013, 2013Conference paper, Poster (with or without abstract) (Refereed)
Abstract [en]

Time spectral methods for initial-value partial differential equations avoid the time stepping being characteristic for temporal finite difference schemes. Large gains in efficiency should then be within reach for problems in plasma physics with widely separated time scales. In the recently developed Generalized Weighted Residual Method GWRM [1], temporal, spatial and parameter domains are all handled using a Chebyshev polynomial solution ansatz. The coefficients of the ansatz are determined using a generalized weighted residual method, for which a new efficient equation system solver has been applied [2]. In addition, subdomain methods for the temporal and spatial domains have been developed [3] and employed successfully in a number of test problems. We will here also present a related method, being based on least square minimization of the residual rather than on the Galerkin method. Both methods are applied to problems in drift wave turbulence from which results will be presented.\\[4pt] [1] Scheffel J, Partial Differential Equations: Theory, Analysis and Applications (Nova Science Publishers) p 1-49, 2011.\\[0pt] [2] Scheffel J and H{\aa}kansson C, Appl. Numer. Math. 59(2009)2430.\\[0pt] [3] Scheffel J and Mirza A, Am. J. of Comp. Math. 2(2012)72.

Place, publisher, year, edition, pages
2013.
National Category
Natural Sciences
Research subject
Physics
Identifiers
URN: urn:nbn:se:kth:diva-240841OAI: oai:DiVA.org:kth-240841DiVA, id: diva2:1274978
Conference
55th Annual Meeting of the APS Division of Plasma Physics, Denver, Colorado, USA, 11-15 November, 2013
Note

QC 20190212

Available from: 2019-01-04 Created: 2019-01-04 Last updated: 2019-02-12Bibliographically approved

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http://meetings.aps.org/Meeting/DPP13/Event/200126

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