Matches in SemOpenAlex for { <https://semopenalex.org/work/W4380433213> ?p ?o ?g. }
Showing items 1 to 74 of
74
with 100 items per page.
- W4380433213 endingPage "108804" @default.
- W4380433213 startingPage "108804" @default.
- W4380433213 abstract "The formulation presented here is applied to the Grad-Shafranov equation, which describes the equilibrium of two-dimensional axisymmetric fusion plasmas. The equilibrium configurations, obtained via standard finite element formulations in terms of poloidal flux using linear triangles, provide the magnetic flux with an accuracy O(h2). However, the poloidal magnetic field is obtained with a lower accuracy O(h) and is discontinuous across adjacent elements, with consequent problems in the derivation of linearized models for Magneto-Hydro-Dynamic stability analysis. This requires the calculation of terms related to magnetic field derivatives. The method presented here, based on Helmholtz's theorem, achieves continuity and convergence rate of order O(h2) for the magnetic field by using three-node linear triangular finite elements. It can be implemented as a postprocessor of the magnetic flux solution obtained with linear triangles, in such a way to provide the magnetic field with an accuracy O(h2). The continuity properties of the magnetic field provide a high level of accuracy and the possibility of deriving reliable linearized models with a limited computational effort. The accuracy is highly reliable for some applications requiring a high precision in the vicinity of magnetic poloidal field null points, like for instance breakdown analysis, or control of the X-point of diverted configurations in a tokamak. The effectiveness of the method is shown in linear and nonlinear cases for which analytical solutions are available." @default.
- W4380433213 created "2023-06-14" @default.
- W4380433213 creator A5052599433 @default.
- W4380433213 creator A5078003670 @default.
- W4380433213 creator A5086507383 @default.
- W4380433213 date "2023-10-01" @default.
- W4380433213 modified "2023-10-17" @default.
- W4380433213 title "Solution of Grad-Shafranov equation with linear triangular finite elements providing magnetic field continuity with a second order accuracy" @default.
- W4380433213 cites W1488862069 @default.
- W4380433213 cites W1971654905 @default.
- W4380433213 cites W1976869166 @default.
- W4380433213 cites W2019110298 @default.
- W4380433213 cites W2021270784 @default.
- W4380433213 cites W2036804337 @default.
- W4380433213 cites W2086062740 @default.
- W4380433213 cites W2090520798 @default.
- W4380433213 cites W2093626073 @default.
- W4380433213 cites W2130986624 @default.
- W4380433213 cites W3152535022 @default.
- W4380433213 cites W961911759 @default.
- W4380433213 doi "https://doi.org/10.1016/j.cpc.2023.108804" @default.
- W4380433213 hasPublicationYear "2023" @default.
- W4380433213 type Work @default.
- W4380433213 citedByCount "0" @default.
- W4380433213 crossrefType "journal-article" @default.
- W4380433213 hasAuthorship W4380433213A5052599433 @default.
- W4380433213 hasAuthorship W4380433213A5078003670 @default.
- W4380433213 hasAuthorship W4380433213A5086507383 @default.
- W4380433213 hasBestOaLocation W43804332131 @default.
- W4380433213 hasConcept C115260700 @default.
- W4380433213 hasConcept C116515362 @default.
- W4380433213 hasConcept C121332964 @default.
- W4380433213 hasConcept C134306372 @default.
- W4380433213 hasConcept C135628077 @default.
- W4380433213 hasConcept C157479481 @default.
- W4380433213 hasConcept C158622935 @default.
- W4380433213 hasConcept C202444582 @default.
- W4380433213 hasConcept C33923547 @default.
- W4380433213 hasConcept C62520636 @default.
- W4380433213 hasConcept C82706917 @default.
- W4380433213 hasConcept C9652623 @default.
- W4380433213 hasConcept C97355855 @default.
- W4380433213 hasConceptScore W4380433213C115260700 @default.
- W4380433213 hasConceptScore W4380433213C116515362 @default.
- W4380433213 hasConceptScore W4380433213C121332964 @default.
- W4380433213 hasConceptScore W4380433213C134306372 @default.
- W4380433213 hasConceptScore W4380433213C135628077 @default.
- W4380433213 hasConceptScore W4380433213C157479481 @default.
- W4380433213 hasConceptScore W4380433213C158622935 @default.
- W4380433213 hasConceptScore W4380433213C202444582 @default.
- W4380433213 hasConceptScore W4380433213C33923547 @default.
- W4380433213 hasConceptScore W4380433213C62520636 @default.
- W4380433213 hasConceptScore W4380433213C82706917 @default.
- W4380433213 hasConceptScore W4380433213C9652623 @default.
- W4380433213 hasConceptScore W4380433213C97355855 @default.
- W4380433213 hasLocation W43804332131 @default.
- W4380433213 hasOpenAccess W4380433213 @default.
- W4380433213 hasPrimaryLocation W43804332131 @default.
- W4380433213 hasRelatedWork W1633374596 @default.
- W4380433213 hasRelatedWork W2007662523 @default.
- W4380433213 hasRelatedWork W2061769161 @default.
- W4380433213 hasRelatedWork W2355807703 @default.
- W4380433213 hasRelatedWork W2515869527 @default.
- W4380433213 hasRelatedWork W2748886996 @default.
- W4380433213 hasRelatedWork W2940496612 @default.
- W4380433213 hasRelatedWork W3041309965 @default.
- W4380433213 hasRelatedWork W4206528341 @default.
- W4380433213 hasRelatedWork W4239360779 @default.
- W4380433213 hasVolume "291" @default.
- W4380433213 isParatext "false" @default.
- W4380433213 isRetracted "false" @default.
- W4380433213 workType "article" @default.