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A NEW FORMULATION FOR SOLIDS SUITABLE FOR A UNIFIED SOLUTION METHOD FOR FLUID-STRUCTURE INTERACTION PROBLEMS

机译:适用于流固耦合问题统一求解方法的固体新公式

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摘要

In fluid-structure interaction problems, the fluid and solid components are solved separately and information is exchanged along the interface. This work shows the first stage of development and validation of a novel unified solution method suitable for computing fluid-structure interaction problems. In the new method, a single set of equations is used to describe both fluid and solid, while the interface between them is contained within the solution domain itself. This can be achieved by reformulating the solid equations to solve for the same primitive variables used in fluids i.e. velocity and pressure. The PISO algorithm is used to handle the velocity-pressure coupling. Although this is a standard approach for fluids, validation is needed for solids. Two cases are examined: wave propagation in a one-dimensional rod and oscillation of a 2D cantilevered beam. Appropriate set of boundary conditions is chosen for the free surface. The new formulation for solids is stable and robust, thus it can be used in the next stage in the development of a robust algorithm for coupled fluid-structure interaction problems.
机译:在流固耦合问题中,流体和固体组分分别得到解决,信息沿着界面交换。这项工作显示了开发和验证适用于计算流固耦合问题的新型统一解决方法的第一阶段。在新方法中,使用一组方程式描述流体和固体,而它们之间的界面包含在溶液域本身内。这可以通过重新构造实体方程来求解流体中使用的相同原始变量(即速度和压力)来实现。 PISO算法用于处理速度-压力耦合。尽管这是用于流体的标准方法,但需要对固体进行验证。研究了两种情况:一维杆中的波传播和2D悬臂梁的振荡。为自由表面选择适当的边界条件集。用于固体的新配方稳定且坚固,因此可以在开发用于耦合流固耦合问题的稳健算法的下一阶段中使用。

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