Digitale Bibliotheek
Sluiten Bladeren door artikelen uit een tijdschrift
 
<< vorige    volgende >>
     Tijdschrift beschrijving
       Alle jaargangen van het bijbehorende tijdschrift
         Alle afleveringen van het bijbehorende jaargang
           Alle artikelen van de bijbehorende aflevering
                                       Details van artikel 4 van 9 gevonden artikelen
 
 
  k-Version Least Squares Finite Element Processes for 2-D Generalized Newtonian Fluid Flows
 
 
Titel: k-Version Least Squares Finite Element Processes for 2-D Generalized Newtonian Fluid Flows
Auteur: Surana, K. S.
Engelkemier, M. K.
Reddy, J. N.
Tenpas, P. W.
Verschenen in: International journal for computational methods in engineering science and mechanics
Paginering: Jaargang 8 (2007) nr. 4 pagina's 243-261
Jaar: 2007-07
Inhoud: In this paper, a mathematical and computational framework based on h, p, k and variationally consistent (VC) integral form is utilized to present a finite element computational process for two dimensional steady, isothermal as well as non-isothermal fluid flows for power law and Carreau models of viscosity. Strong form of the governing differential equations is presented and utilized in dependent variables P, u, v and T. Since the differential operator is non-linear, Galerkin method, Petrov Galerkin method, method of weighted residuals and Galerkin method with weak forms yield integral form that are variationally inconsistent (VIC). Least Squares Processes on the other hand, yield integral forms that are VC. Computational processes based on VC integral forms are unconditionally stable and non-degenerate and hence do not require the use of problem dependent upwinding methods. The parameter k controlling global differentiability of the approximation permits higher order global approximations, which are necessitated by the physics in governing differential equations (GDEs). The behavior of the power law and Carreau models of shear thinning fluid behavior is investigated using theoretical solutions (when possible) as well as numerical simulations using the proposed methodology. Fully developed flow between parallel plates, steady pressure driven Couette flow and lid driven cavity are used as model problems.
Uitgever: Taylor & Francis
Bronbestand: Elektronische Wetenschappelijke Tijdschriften
 
 

                             Details van artikel 4 van 9 gevonden artikelen
 
<< vorige    volgende >>
 
 Koninklijke Bibliotheek - Nationale Bibliotheek van Nederland