论文标题
三场流体结构通过变异多尺度方法
Three-Field Fluid-Structure Interaction by Means of the Variational Multiscale Method
论文作者
论文摘要
使用用于流体和固体的三场流体结构相互作用（FSI）制剂，并将其与标准的流体和固体分别进行比较。这两种配方均在牛顿流体的非线性设置中应用于更新的拉格朗日形式，均使用有限元素近似，并通过变异多尺度（VMS）方法稳定下来，以允许使用任意插值。结果表明，这种类型的耦合会导致更稳定的解决方案。即使新的配方构成了额外的自由度的必要性，也可以通过更粗糙的网格来实现与标准FSI相同的准确性，从而使该方法具有竞争力。我们通过假设模型的子网格尺度随时间发展来增强公式的稳定性。进行公式的基准测试。对于半固定型和完全瞬态的案例提供了数值结果，用于2D和3D方案的众所周知的基准测试结果。
Three-field Fluid-Structure Interaction (FSI) formulations for fluid and solid are applied and compared to the standard two field-one field formulation for fluid and solid, respectively. Both formulations are applied in a non linear setting for a Newtonian fluid and a neo-Hookean solid in an updated Lagrangian form, both approximated using finite elements and stabilized by means of the Variational Multiscale (VMS) Method to permit the use of arbitrary interpolations. It is shown that this type of coupling leads to a more stable solution. Even though the new formulation poses the necessity of additional degrees of freedom, it is possible to achieve the same degree of accuracy as standard FSI by means of coarser meshes, thus making the method competitive. We enhance the stability of the formulation by assuming that the sub-grid scales of the model evolve through time. Benchmarking of the formulation is carried out. Numerical results are presented for semi-stationary and a fully transient cases for well known benchmarks for 2D and 3D scenarios.
