FINITE ELEMENT ERROR ANALYSIS OF A MANTLE CONVECTION MODEL

John V., KAYA MERDAN S., Novo J.

INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, cilt.15, ss.677-698, 2018 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15
  • Basım Tarihi: 2018
  • Dergi Adı: INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.677-698
  • Anahtar Kelimeler: Mantel Convection, Stokes problem with variable viscosity, temperature problem with variable thermal convection, inf-sup stable finite elements, SUPG stabilization, DIFFUSION-REACTION EQUATIONS, TEMPERATURE-DEPENDENT COEFFICIENTS, INFINITE PRANDTL NUMBER, VARIABLE VISCOSITY, SPHERICAL-SHELL, STABILIZATION, DIVERGENCE, ALGORITHM
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

A mantle convection model consisting of the stationary Stokes equations and a time dependent convection-diffusion equation for the temperature is studied. The Stokes problem is discretized with a conforming inf-sup stable pair of finite element spaces and the temperature equation is stabilized with the SUPG method. Finite element error estimates are derived which show the dependency of the error of the solution of one problem on the error of the solution of the other equation. The dependency of the error bounds on the coefficients of the problem is monitored.