Efficient Parallel Analysis of Shell-fluid Interaction Problem by Monolithic Method Based on Consistent Pressure Poisson Equation

In this paper, a parallel monolithic method for shell-fluid interaction based on the consistent Pressure Poisson Equation (PPE) is developed and its parallel computational efficiency is demonstrated. The previous and present studies show that iterative solvers without preconditioning work well to solve the PPE, even though the coefficient matrix of the original linearized coupled equations becomes to be ill-conditioned. As a consequence, combining with the iterative solvers without preconditioning parallelized based on the mesh decomposition, the developed method can archive efficient parallel computation. To demonstrate the performances of the developed method, it is applied to simulate the vibration of an elastic plate situated in the wake of a rectangular cylinder and a flapping elastic wing in fluid.