A numerical study of a first order modular grad-div stabilization for the magnetohydrodynamics equations
Küçük Resim Yok
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Maltepe Üniversitesi
Erişim Hakkı
CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Özet
This paper proposes a stabilization method to approximate analytical solutions of magnetohydrodynamics (MHD) equations. The method adds two modular grad-div steps into fully-discrete finite element MHD solver. The main idea in these intrusive steps is to penalize the divergence of the velocity/magnetic fields both in L2 and H1-norms. The paper confirms the optimal convergence of the method, and gives numerical experiments which reveal positive effect of the method as in the usual grad-div stabilization
Açıklama
Anahtar Kelimeler
Modular grad-div, mixed finite element method, magnetohydrodynamics
Kaynak
Fourth International Conference of Mathematical Sciences
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Akbas, M. (2021). A numerical study of a first order modular grad-div stabilization for the magnetohydrodynamics equations. Fourth International Conference of Mathematical Sciences, Maltepe Üniversitesi. s. 1-4.
