A finite element variational multiscale method for the Navier-Stokes equations

Volker J., KAYA MERDAN S.

SIAM JOURNAL ON SCIENTIFIC COMPUTING, cilt.26, sa.5, ss.1485-1503, 2005 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 26 Sayı: 5
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1137/030601533
  • Dergi Adı: SIAM JOURNAL ON SCIENTIFIC COMPUTING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1485-1503
  • Anahtar Kelimeler: variational multiscale method, finite element method, Navier-Stokes equations, turbulent flows, LARGE-EDDY SIMULATION, BENCHMARK PROBLEM, SCALE, VISCOSITY
  • Orta Doğu Teknik Üniversitesi Adresli: Hayır

Özet

This paper presents a variational multiscale method (VMS) for the incompressible Navier-Stokes equations which is defined by a large scale space L-H for the velocity deformation tensor and a turbulent viscosity nu(T). The connection of this method to the standard formulation of a VMS is explained. The conditions on L-H under which the VMS can be implemented easily and efficiently into an existing finite element code for solving the Navier - Stokes equations are studied. Numerical tests with the Smagorinsky large eddy simulation model for nu(T) are presented.