A Parallel Robin–Robin Domain Decomposition Method based on Modified Characteristic FEMs for the Time-Dependent Dual-porosity-Navier–Stokes Model with the Beavers–Joseph Interface Condition
| Autor: | Jian Li, Luling Cao, Yinnian He |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Numerical Analysis
Interface (Java) Applied Mathematics General Engineering Domain decomposition methods Term (logic) Coupling (probability) Finite element method Theoretical Computer Science Dual (category theory) Physics::Fluid Dynamics Computational Mathematics Computational Theory and Mathematics Convergence (routing) Mathematical induction Applied mathematics Software Mathematics |
| Zdroj: | Journal of Scientific Computing. 90 |
| ISSN: | 1573-7691 0885-7474 |
| DOI: | 10.1007/s10915-021-01674-x |
| Popis: | In this paper, we propose and analyze the parallel Robin–Robin domain decomposition method based on the modified characteristic finite element method for the time-dependent dual-porosity-Navier–Stokes model with the Beavers–Joseph interface condition. For the coupling terms, we treat them in an explicit manner which takes advantage of information obtained in previous time steps to construct a non-iteration domain decomposition method. By this means, two single dual-porosity equations and a single Navier–Stokes equation are needed to solve at each time. In particular, we solve the Navier–Stokes equation by the modified characteristic finite element method, which avoids the computational inefficiency caused by the nonlinear convection term. Furthermore, we prove the error convergence of solutions by mathematical induction, whose proof implies the uniform $$L^{\infty }$$ -boundedness of the fully discrete velocity solution in conduit flow. Finally, some numerical examples are presented to show the effectiveness and efficiency of the proposed method. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full text from SpringerLink