scholarly journals Flow simulation considering adsorption boundary layer based on digital rock and finite element method

2020 ◽  
Author(s):  
Yong-Fei Yang ◽  
Ke Wang ◽  
Qian-Fei Lv ◽  
Roohollah Askari ◽  
Qing-Yan Mei ◽  
...  
Keyword(s):  
Boundary Layer ◽  
Finite Element Method ◽  
Finite Element ◽  
Flow Simulation ◽  
Digital Rock ◽  
Element Method

Application of a Singular/Decoupled Finite Element Method to the Viscoelastic Die-swell Flow Simulation

2002 ◽  
Vol 35 (7) ◽  
pp. 660-669 ◽  
Author(s):  
Shuichi Iwata ◽  
Tsutomu Aragaki ◽  
Hideki Mori ◽  
Masahito Hattori ◽  
Hikaru Waki
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Flow Simulation ◽  
Die Swell ◽  
Element Method

Numerical Solution of the Incompressible Boundary-Layer Equations Using the Finite Element Method

1992 ◽  
Vol 114 (4) ◽  
pp. 504-511 ◽  
Author(s):  
J. A. Schetz ◽  
E. Hytopoulos ◽  
M. Gunzburger
Keyword(s):  
Boundary Layer ◽  
Finite Element Method ◽  
Finite Element ◽  
Memory Storage ◽  
The Finite Element Method ◽  
Boundary Layer Equations ◽  
Numerical Predictions ◽  
Incompressible Boundary Layer ◽  
Incompressible Boundary ◽  
Element Method

A new approach to the solution of the two-dimensional, incompressible, boundary-layer equations based on the Finite Element Method in both directions is investigated. Earlier Finite Element Method treatments of parabolic boundary-layer problems used finite differences in the streamwise direction, thus sacrificing some of the possible advantages of the Finite Element Method. The accuracy and computational efficiency of different interpolation functions for the velocity field are evaluated. A new element especially designed for boundary layer flows is introduced. The effect that the treatment of the continuity equation has on the stability and accuracy of the numerical results is also discussed. The parabolic nature of the equations is exploited in order to reduce the memory requirements. The solution is obtained for one line at a time, thus only two levels are required to be stored at any time. Efficient solvers for tridiagonal and pentadiagonal forms are used for solving the resulting matrix problem. Numerical predictions are compared to analytical and experimental results for laminar and turbulent flows, with and without pressure gradients. The comparisons show very good agreement. Although most of the cases were tested on a mainframe, the low requirements in CPU time and memory storage allows the implementation of the method on a conventional PC.

Sign in / Sign up

Export Citation Format

Share Document