Stabilizing subgrid FEM solution of the natural convection flow under high magnitude magnetic field on sinusoidal corrugated enclosure

Aydin S. H., Tezer-Sezgin M.

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, cilt.97, ss.420-430, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 97
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1080/00207160.2019.1636232
  • Dergi Adı: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.420-430
  • Anahtar Kelimeler: Stabilizing subgrid, natural convection, MHD, FEM, BOUNDARY ELEMENTS METHOD, DRBEM SOLUTION, MAGNETOHYDRODYNAMIC FLOW, NUMERICAL-SIMULATION, SQUARE CAVITY, HEAT-TRANSFER, MHD FLOW
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

This study deals with the stabilized finite element solution of the steady, natural convection flow in an enclosure under a magnetic field applied perpendicular to the sinusoidal corrugated vertical walls of the enclosure, in terms of primitive variables. Several vertical sinusoidal functions are selected for the comparison. A stabilized FEM scheme called SSM is proposed in order to obtain a stable solution for the high values of problem parameters with a cheap computational cost. Proposed numerical scheme with linear elements is tested with the other well-known stabilization method called SUPG and also with the higher order element combinations (). Obtained solutions show a better accuracy of SSM compared to SUPG in terms of the norm and also show the well-known characteristics of the natural convection MHD flow. The decrease in the convection heat transfer with an increase in the size of the heat source placed in the bottom wall is observed.