使用总压力的 Biot-Stokes 耦合：表述、分析及在眼部界面流中的应用
The Biot-Stokes coupling using total pressure: formulation, analysis and application to interfacial flow in the eye
AI总结：
提出一种基于总压力的Biot-Stokes耦合多物理场模型及混合-原点有限元格式，无需Lagrange乘子即可处理界面传输条件，并分析了稳定性和适定性，应用于地球物理流和眼部多孔力学以研究青光眼早期形态变化。
摘要：
我们考虑一个多物理场模型，用于通过界面耦合的牛顿流体流动与 Biot 固结方程，并在多孔弹性区域中将总压力作为未知量纳入。提出了一种新的混合-原点有限元格式，使用 Stokes 稳定单元求解流体速度-压力和位移-总多孔弹性压力对，且该表述不需要 Lagrange 乘子来建立界面上的常规传输条件。详细分析了连续和半离散问题的稳定性和适定性。我们的数值研究置于与异质地球物理流动和眼部多孔力学相关的应用问题背景下。对于后者，我们研究了笛卡尔和轴对称坐标系下的不同界面流态，这可能最终有助于描述犬类物种青光眼发展相关的早期形态变化。
英文摘要：
We consider a multiphysics model for the flow of Newtonian fluid coupled with Biot consolidation equations through an interface, and incorporating total pressure as an unknown in the poroelastic region. A new mixed-primal finite element scheme is proposed solving for the pairs fluid velocity - pressure and displacement - total poroelastic pressure using Stokes-stable elements, and where the formulation does not require Lagrange multipliers to set up the usual transmission conditions on the interface. The stability and well-posedness of the continuous and semi-discrete problems are analysed in detail. Our numerical study is framed in the context of applicative problems pertaining to heterogeneous geophysical flows and to eye poromechanics. For the latter, we investigate different interfacial flow regimes in Cartesian and axisymmetric coordinates that could eventually help describe early morphologic changes associated with glaucoma development in canine species.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
