A heterogeneous flow model based on DD method for free surface fluid–structure interaction problems

Abstract

SUMMARYAn efficient heterogeneous flow model that combines incompressible viscous flow and potential flow(PF)(both) with free‐surface boundaries for fluid–structure interaction(FSI) problems was developed and solved numerically. In the model, the near field(viscous) fluid subdomain of the FSI simulation is described by the Navier–Stokes equations(NSE), whereas the far field(inviscid) subdomain is described by PF. This method is particularly suitable for modeling a large fluid domain while avoid solving the NSE at the far field, where the inviscid flow assumption is appropriate and adopting a simplified(e.g., PF) flow description reduces computing cost. Numerically, the NSE are solved using a FEM, and the PF is solved using a BEM. Free surface tracking is achieved through a hybrid level set method for the NSE and the mixed Eulerian–Lagrangian method for the PF. The coupling is based on a non‐overlapping DD method similar to the Dirichlet–Neumann method. At the interface between the two flow model subdomains, velocity and pressure are matched to ensure continuity of the corresponding variables at the common boundary. In this framework of the heterogeneous DD method, an explicit scheme is developed and implemented. The relation between this scheme and the classical Dirichlet–Neumann method for a homogeneous problem is revealed. Numerical examples demonstrating the capability of the method to model nonlinear wave phenomena and FSI problems with flexible structures are presented. Copyright © 2013 John Wiley & Sons, Ltd.

A nonoverlapping heterogeneous domain decomposition method for three-dimensional gravity wave impact problems

“…Here we briefly introduce the coupling scheme. Further details can be found in our previous studies on the 2D problems [41,42]. In the next section we will present a new interpretation of the coupling method using the Helmholtz decomposition.…”

“…Examples of the free surface flow numerical solvers based on the DD approach include the work by Campana et al [35], Iafrati and Campana [36], Colicchio et al [37], Sitanggang and Lynett [38], Kim et al [39], Hamilton and Yeung [40], and Zhang et al [41]. Among these works, all except [40] are 2D models.…”

“…In this paper we present the progress made toward a 3D DD solver, based on our 2D development and theoretical study, reported in Zhang et al [41] and Zhang et al [42], respectively. In particular, the relationship between the coupling scheme and the Dirichlet-Neumann (D-N) method for a homogeneous elliptic problem [20,43] is discussed in Zhang et al [41]. The scheme is related to the solution for the Schur's complement formulation of the coupled problem, as discussed in Zhang et al [42].…”

Fluid Structure Interaction of Buoyant Bodies with Free Surface Flows: Computational Modelling and Experimental Validation

“…Recently, due to the increased availability of computational power, significant research efforts head towards the development of numerical methods that simultaneously model the fluid flow and the solid motion and deformation [35][36][37][38]. Such methodologies require the modeling of two non-overlapping domains, the fluid and the solid, separated by a common interface.…”

“…Therefore, the development of reliable numerical methods and experimental techniques to characterize such impulsive loading is crucial for the design of several kind of engineering devices, such as marine vessels and hydraulic structures. Several works are available in literature dealing with the simulation of fluid-structure interaction in the presence of a free surface [6,9,[35][36][37]. Different numerical models, alternative to Navier-Stokes, may be also employed to simulate the fluid flow with a free surface, such as Smoothed Particles Hydrodynamics (SPH) [54,55], Lattice Boltzmann Method (LBM) [8,56] and constrained interpolation profile (CIP) method [57,58].…”