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A unifying model for fluid flow and elastic solid deformation: A novel approach for fluid-structure interaction

机译:流体流动和弹性固体变形的统一模型:流体-结构相互作用的新方法

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Fluid-structure coupling is addressed through a unified equation for compressible Newtonian fluid flow and elastic solid deformation. This is done by introducing thermodynamics within Cauchy's equation through the isothermal compressibility coefficient that is experimentally measurable for both fluids and solids. The vectorial resolution of the governing equation, where every component of velocity vectors and displacement variation vectors is calculated simultaneously in the overall multi-phase system, is characteristic of a monolithic resolution involving no iterative coupling. For system equation closure, mass density and pressure are both re-actualized from velocity vector divergence, when the shear stress tensor within the solid phase is re-actualized from the displacement variation vectors. This novel approach is first validated on a two-phase system, involving a plane fluid-solid interface, through the two following test cases: (i) steady-state compression and (ii) longitudinal and transverse elastic wave propagations. Then the 3D study of compressive fluid injection towards an elastic solid is analyzed from initial time to steady-state evolution. (C) 2014 Elsevier Ltd. All rights reserved.
机译:通过可压缩牛顿流体流动和弹性固体变形的统一方程来解决流固耦合。通过在等温可压缩系数中将热力学引入柯西方程中,可以通过实验测量流体和固体的等温压缩系数。在整个多相系统中同时计算速度矢量和位移变化矢量的每个分量的控制方程的矢量分辨率是不涉及迭代耦合的整体分辨率的特征。对于系统方程式闭合,当从位移变化向量重新激活固相中的剪应力张量时,会从速度矢量发散来重新激活质量密度和压力。该新颖方法首先通过以下两个测试案例在涉及平面流固界面的两相系统中得到验证:(i)稳态压缩和(ii)纵向和横向弹性波传播。然后分析了从初始时间到稳态演化的向弹性固体注入压缩流体的3D研究。 (C)2014 Elsevier Ltd.保留所有权利。

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