Orthogonal Collocation on Finite Element Method for Lid-Driven Cavity Flow

2018 ◽  
Vol 85 (5) ◽  
pp. 11-20
Author(s):  
Taejin Jang ◽  
Chintan Pathak ◽  
Venkat R. Subramanian

2017 ◽  
Vol 21 (4) ◽  
pp. 1012-1038 ◽  
Author(s):  
Roktaek Lim ◽  
Dongwoo Sheen

AbstractA cheapest stable nonconforming finite element method is presented for solving the incompressible flow in a square cavity without smoothing the corner singularities. The stable cheapest nonconforming finite element pair based on P1×P0 on rectangularmeshes [29] is employed with a minimal modification of the discontinuous Dirichlet data on the top boundary, where is the finite element space of piecewise constant pressures with the globally one-dimensional checker-board pattern subspace eliminated. The proposed Stokes elements have the least number of degrees of freedom compared to those of known stable Stokes elements. Three accuracy indications for our elements are analyzed and numerically verified. Also, various numerous computational results obtained by using our proposed element show excellent accuracy.


2010 ◽  
Vol 21 (1-3) ◽  
pp. 23-32 ◽  
Author(s):  
Belkacem Absar ◽  
Sid El Mahi Lamine Kadi ◽  
Omar Belhamiti

2022 ◽  
Vol 70 (3) ◽  
pp. 4217-4239
Author(s):  
T. Vu-Huu ◽  
C. Le-Thanh ◽  
H. Nguyen-Xuan ◽  
M. Abdel-Wahab

Author(s):  
Hui Wan ◽  
Shanwu Wang ◽  
Yanxing Wang ◽  
Xiyun Lu ◽  
Lixian Zhuang

1999 ◽  
Vol 88 (1-2) ◽  
pp. 99-131 ◽  
Author(s):  
Anne M. Grillet ◽  
Bin Yang ◽  
Bamin Khomami ◽  
Eric S.G. Shaqfeh

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