A Numerical Study of a First Order Modular Grad-Div Stabilization for the Magnetohydrodynamics Equations
Yükleniyor...
Dosyalar
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Amer Inst Physics
Erişim Hakkı
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 L-2 and H-1-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
4th International Conference of Mathematical Sciences (ICMS) -- JUN 17-21, 2020 -- Maltepe Univ, ELECTR NETWORK
Anahtar Kelimeler
Modular grad-div, mixed finite element method, magnetohydrodynamics
Kaynak
Fourth International Conference Of Mathematical Sciences (Icms 2020)
WoS Q Değeri
N/A
Scopus Q Değeri
N/A
Cilt
2334
