论文标题
混合刚性/软体液 - 结构相互作用的重新定义涡流方法
A remeshed vortex method for mixed rigid/soft body fluid--structure interaction
论文作者
论文摘要
我们概述了一个2D算法，用于在基于重新测定涡流方法的一致框架内解决不可压缩的刚性/软体体表示的不可压缩的流程相互作用问题。我们采用一个单核公式，以表示欧拉网格上的固体和流体相，并由弥漫界面隔开。使用Brinkman惩罚对刚性固体进行处理，同时使用反向图技术来获得超弹性固相中的弹性应力。我们针对许多基准问题测试了求解器，这些问题表明了物理准确性，并在时空中首先到二阶收敛。基准通过其他研究补充，这些研究说明了我们数值方案在各种场景中捕获必需的流体结构相互作用现象的能力，这些场景涉及内部肌肉驱动，自推动，多体型接触，热传递，热传递和整流的粘性粘性流效应。通过这些插图，我们展示了求解器可靠地处理不同的本构模型和边界条件，解决不同的多物理问题并通过避开CFL时间步长限制来实现更快解决的能力。
We outline a 2D algorithm for solving incompressible flow--structure interaction problems for mixed rigid/soft body representations, within a consistent framework based on the remeshed vortex method. We adopt the one--continuum formulation to represent both solid and fluid phases on an Eulerian grid, separated by a diffuse interface. Rigid solids are treated using Brinkman penalization while an inverse map technique is used to obtain elastic stresses in the hyper-elastic solid phase. We test our solver against a number of benchmark problems, which demonstrate physical accuracy and first to second order convergence in space and time. Benchmarks are complemented by additional investigations that illustrate the ability of our numerical scheme to capture essential fluid--structure interaction phenomena across a variety of scenarios involving internal muscular actuation, self propulsion, multi-body contact, heat transfer and rectified viscous streaming effects. Through these illustrations, we showcase the ability of our solver to robustly deal with different constitutive models and boundary conditions, solve disparate multi-physics problems and achieve faster time-to-solutions by sidestepping CFL time step restrictions.
