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A monolithic Lagrangian meshfree scheme for Fluid-Structure Interaction problems within the OTM framework

机译：OTM框架内流体-结构相互作用问题的整体拉格朗日无网格方案

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摘要

We present a monolithic Lagrangian meshfree solution for Fluid-Structure Interaction (FSI) problems within the Optimal Transportation Meshfree (OTM) framework. The governing equations of the fluid and structure are formulated in the Lagrangian configuration and solved simultaneously in a monolithic way. Mainly, the fully discretized equations are constructed by leveraging on the OTM method to address the challenges in the Lagrangian description of the fluid domain. In this approach, the fluid-structure interface becomes an internal surface of the entire field, and the continuity and force equilibrium on the interface are automatically satisfied without any extra computations. The monolithic Lagrangian solution provides enhanced stability comparing to partitioning approaches and eliminates the problem of free surface and material interface tracking. The presented method enables a Direct Numerical Simulation (DNS) of the fluid flow with the absence of the convective terms. The accuracy and robustness of the OTM FSI approach are systematically investigated by the classical Blasius solution of the boundary layer problem. Furthermore, we illustrate the range and scope of the method through two examples: the impact of a rigid body on the fluid domain in a container and the interaction between the fluid and highly flexible structures in an open channel. (C) 2018 Elsevier B.V. All rights reserved.
机译：我们提出了最佳运输无网格（OTM）框架内的流体-结构相互作用（FSI）问题的整体拉格朗日无网格解决方案。流体和结构的控制方程以拉格朗日构型表示，并以整体方式同时求解。主要是，利用OTM方法构造完全离散方程，以解决流体域的拉格朗日描述中的挑战。在这种方法中，流体-结构界面成为整个场的内表面，并且无需任何额外的计算即可自动满足界面上的连续性和力平衡。与分区方法相比，单片拉格朗日解决方案提供了增强的稳定性，并消除了自由表面和材料界面跟踪的问题。提出的方法可以在没有对流项的情况下实现流体流动的直接数值模拟（DNS）。通过边界层问题的经典Blasius解系统地研究了OTM FSI方法的准确性和鲁棒性。此外，我们通过两个示例说明了该方法的范围和范围：刚体对容器中流体域的影响以及流体与明渠中的高柔性结构之间的相互作用。 （C）2018 Elsevier B.V.保留所有权利。

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