Back to Search
Start Over
Approximation of the time-dependent induction equation with advection using Whitney elements
- Source :
- COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 2016, 35 (1), pp.326-338. ⟨10.1108/COMPEL-06-2015-0235⟩, COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, Emerald, 2016, 35 (1), pp.326-338. ⟨10.1108/COMPEL-06-2015-0235⟩
- Publication Year :
- 2016
- Publisher :
- HAL CCSD, 2016.
-
Abstract
- International audience; The purpose of this paper is to present a new formulation for taking into account the convective term due to an imposed velocity field in the induction equation in a code based on Whitney elements called DOLMEN. Different Whitney forms are used to approximate the dependent variables. The authors study the kinematic dynamo action in a von Kármán configuration and obtain results in good agreement with those provided by another well validated code called SFEMaNS. DOLMEN is developed to investigate the dynamo action in non-axisymmetric domains like the impeller driven flow of the von Kármán Sodium (VKS) experiment. The authors show that a 3D magnetic field dominated by an axisymmetric vertical dipole can grow in a kinematic dynamo configuration using an analytical velocity field.
- Subjects :
- Physics::Fluid Dynamics
[SPI.ELEC]Engineering Sciences [physics]/Electromagnetism
Subjects
Details
- Language :
- English
- ISSN :
- 03321649
- Database :
- OpenAIRE
- Journal :
- COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 2016, 35 (1), pp.326-338. ⟨10.1108/COMPEL-06-2015-0235⟩, COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, Emerald, 2016, 35 (1), pp.326-338. ⟨10.1108/COMPEL-06-2015-0235⟩
- Accession number :
- edsair.dedup.wf.001..ae6d297976733b43e5f368108a74db99