Decoupled modified characteristic FEMs for fully evolutionary Navier–Stokes–Darcy model with the Beavers–Joseph interface condition
| Autor: | Jian Li, Yinnian He, Di Yang, Luling Cao |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Darcy model
Applied Mathematics 010103 numerical & computational mathematics Time step 01 natural sciences Darcy–Weisbach equation Physics::Fluid Dynamics 010101 applied mathematics Computational Mathematics Nonlinear system Norm (mathematics) Mathematical induction Applied mathematics Navier stokes 0101 mathematics Mathematics Numerical theory |
| Zdroj: | Journal of Computational and Applied Mathematics. 383:113128 |
| ISSN: | 0377-0427 |
| DOI: | 10.1016/j.cam.2020.113128 |
| Popis: | In this paper, we develop the numerical theory of decoupled modified characteristic FEMs for the fully evolutionary Navier–Stokes–Darcy model with the Beavers–Joseph interface condition. Based on lagging interface coupling terms, the system is decoupled, which means that the Navier–Stokes equations and the Darcy equation are solved in each time step, respectively. In particular, the Navier–Stokes equations are solved by the modified characteristic FEMs, which overcome the computational inefficiency and analytical difficulties caused by the nonlinear term. Then we prove the optimal L 2 -norm error convergence order of the solutions by mathematical induction, whose proof implies the uniform L ∞ -boundedness of the fully discrete velocity solution. Finally some numerical tests are presented to show high efficiency of this method. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect