论文标题
与流体相互作用的刚体的靶固定浸入式结合制剂
A target-fixed immersed-boundary formulation for rigid bodies interacting with fluid flow
论文作者
论文摘要
我们提出了一种沉浸式的边界投影方法，该方法在涉及具有复杂几何形状的刚性体的流量结构相互作用（FSI）问题的体型参考框架中提出。身体固定的配方旨在最大化空间和时间离散过程中FSI体（目标）上表面应力的准确性。不可压缩的涡度方程和牛顿的运动方程是隐式耦合的，因此该方法对于低固体与流体质量比保持稳定。考虑了虚拟体内虚拟液体的影响，并过滤表面应力中的伪振荡以施加物理上正确的刚体动力学。与沉浸式边界投影方法的许多前身类似，使用块-LU分解有效地求解了所得离散系统。然后，我们用二维测试问题验证了中性浮力的圆柱体，该圆柱体以平面轴向流动和自由下降或上升的圆柱形刚性体迁移。
We present an immersed boundary projection method formulated in a body-fixed frame of reference for flow-structure interaction (FSI) problems involving rigid bodies with complex geometries. The body-fixed formulation is aimed at maximizing the accuracy of surface stresses on the FSI body (the target) on during spatial and temporal discretization. The incompressible vorticity equations and Newton's equations of motion are coupled implicitly so that the method remains stable for low solid-to-fluid mass ratios. The influence of fictitious fluid inside the rigid bodies is considered and the spurious oscillations in surface stresses are filtered to impose physically correct rigid body dynamics. Similar to many predecessors of the immersed boundary projection method, the resulting discrete system is solved efficiently using a block-LU decomposition. We then validate the method with two-dimensional test problems of a neutrally buoyant cylinder migrating in a planar Couette flow and a freely falling or rising cylindrical rigid body.
