A nonlinear Stokes–Biot model for the interaction of a non-Newtonian fluid with poroelastic media
A nonlinear Stokes–Biot model for the interaction of a non-Newtonian fluid with poroelastic media
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DOI：
10.1051/m2an/2019061
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发表时间：
2018-03
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影响因子：
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通讯作者：
Ilona Ambartsumyan;V. Ervin;Truong Nguyen;I. Yotov
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文献类型：
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作者：
Ilona Ambartsumyan;V. Ervin;Truong Nguyen;I. Yotov
我们开发和分析的准牛顿自由流体与多孔弹性介质的相互作用模型。流体区的渗流采用非线性Stokes方程描述，多孔介质区的渗流采用非线性准静态毕奥模型描述。平衡和运动学条件施加在界面上。我们建立了弱公式及其半离散连续时间有限元逼近解的存在性和唯一性。我们提出了误差分析，辅以数值实验。
We develop and analyze a model for the interaction of a quasi-Newtonian free fluid with a poroelastic medium. The flow in the fluid region is described by the nonlinear Stokes equations and in the poroelastic medium by the nonlinear quasi-static Biot model. Equilibrium and kinematic conditions are imposed on the interface. We establish existence and uniqueness of a solution to the weak formulation and its semidiscrete continuous-in-time finite element approximation. We present error analysis, complemented by numerical experiments.