论文标题
Stokes-Darcy系统中任意流的有效耦合条件
Effective coupling conditions for arbitrary flows in Stokes-Darcy systems
论文作者
论文摘要
由于此类过程的界面驱动性质，自由流动区域与相邻多孔介质之间的界面处的边界条件是物理一致的建模和耦合系统中流动和传输过程的准确数值模拟的关键问题。文献中可用的界面条件有几个弱点：其中大多数仅适用于平行于流体孔界面的流，有些仅限于特定的边界值问题，而另一些则包含仍然需要确定的未知模型参数。这些事实严重限制了可以成功建模的各种应用程序。我们提出了新的接口条件，这些条件适用于任意流动方向。这些耦合条件是使用均匀化和边界层理论严格得出的。在这些条件下出现的所有有效参数都是根据耦合系统的几何配置来计算数值的。通过比较耦合的Stokes-Darcy模型和孔隙尺度解析模型的数值模拟结果来验证所开发的条件。此外，将新的界面条件与经典条件进行了比较，以证明所提出条件的优势。
Boundary conditions at the interface between the free-flow region and the adjacent porous medium is a key issue for physically consistent modeling and accurate numerical simulation of flow and transport processes in coupled systems due to the interface driven nature of such processes. Interface conditions available in the literature have several weak points: most of them are suitable only for flows parallel to the fluid-porous interface, some are restricted to specific boundary value problems, and others contain unknown model parameters which still need to be determined. These facts severely restrict the variety of applications that can be successfully modeled. We propose new interface conditions which are valid for arbitrary flow directions. These coupling conditions are rigorously derived using the theory of homogenization and boundary layers. All effective parameters appearing in these conditions are computed numerically based on the geometrical configuration of the coupled system. The developed conditions are validated by comparison of numerical simulation results for the coupled Stokes-Darcy model and the pore-scale resolved model. In addition, the new interface conditions are compared with the classical conditions to demonstrate the advantage of the proposed conditions.
