A Decoupling Method with Different Subdomain Time Steps for the Non-Stationary Navier-Stokes ⁄ Darcy Model

2017 ◽  
Vol 35 (3) ◽  
pp. 319-345 ◽  
Author(s):  
Huiyong Jia ◽  
Peilin Shi ◽  
Kaitai Li ◽  
Hongen Jia
Keyword(s):  
Navier Stokes ◽  
Decoupling Method ◽  
Darcy Model

scholarly journals A modified two-grid decoupling method for the mixed Navier–Stokes/Darcy Model

2016 ◽  
Vol 72 (4) ◽  
pp. 1142-1152 ◽  
Author(s):  
Hongen Jia ◽  
Huiyong Jia ◽  
Yunqing Huang
Keyword(s):  
Navier Stokes ◽  
Decoupling Method ◽  
Darcy Model

Two-Grid Finite Element Methods for the Steady Navier-Stokes/Darcy Model

2016 ◽  
Vol 6 (1) ◽  
pp. 60-79 ◽  
Author(s):  
Jing Zhao ◽  
Tong Zhang
Keyword(s):  
Finite Element ◽  
Error Estimates ◽  
Finite Element Methods ◽  
Navier Stokes ◽  
Optimal Error Estimates ◽  
Numerical Computations ◽  
Optimal Error ◽  
Darcy Model ◽  
Efficiency And Effectiveness ◽  
Grid Algorithm

AbstractTwo-grid finite element methods for the steady Navier-Stokes/Darcy model are considered. Stability and optimal error estimates in the H1-norm for velocity and piezometric approximations and the L2-norm for pressure are established under mesh sizes satisfying h = H2. A modified decoupled and linearised two-grid algorithm is developed, together with some associated optimal error estimates. Our method and results extend and improve an earlier investigation, and some numerical computations illustrate the efficiency and effectiveness of the new algorithm.

A two‐grid method with backtracking for the mixed Navier–Stokes /Darcy model

2020 ◽  
Vol 36 (6) ◽  
pp. 1601-1610
Author(s):  
Guangzhi Du ◽  
Qingtao Li ◽  
Yuhong Zhang
Keyword(s):  
Grid Method ◽  
Navier Stokes ◽  
Darcy Model

scholarly journals Numerical analysis of modular grad-div stability methods for the time-dependent Navier-Stokes/Darcy model

2020 ◽  
Vol 28 (3) ◽  
pp. 1191-1205
Author(s):  
Jiangshan Wang ◽  
◽  
Lingxiong Meng ◽  
Hongen Jia
Keyword(s):  
Numerical Analysis ◽  
Time Dependent ◽  
Navier Stokes ◽  
Darcy Model
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