Premium
Two‐equation ( k , ϵ) turbulence computations by the use of a finite element model
Author(s) -
Utnes Torbjørn
Publication year - 1988
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650080808
Subject(s) - mathematics , turbulence , finite element method , computational fluid dynamics , galerkin method , reynolds number , flow (mathematics) , discontinuous galerkin method , computation , pressure correction method , mathematical analysis , mechanics , physics , geometry , algorithm , thermodynamics
A finite element technique is presented and applied to some one‐ and two‐dimensional turbulent flow problems. The basic equations are the Reynolds averaged momentum equations in conjunction with a two‐equation ( k , ϵ) turbulence model. The equations are written in time‐dependent form and stationary problems are solved by a time iteration procedure. The advection parts of the equations are treated by the use of a method of characteristics, while the continuity requirement is satisfied by a penalty function approach. The general numerical formulation is based on Galerkin's method. Computational results are presented for one‐dimensional steady‐state and oscillatory channel flow problems and for steady‐state flow over a two‐dimensional backward‐facing step.