The field of fluid-structure interaction (FSI) has important
applications ranging from the bio-medical to the civil and
aeronautical engineering fields. Despite the different approaches
developed over recent years the general solution of FSI problems
remains however far from being closed. This paper addresses the
theoretical analysis of a several partitioned solution schemes
for FSI. This is achieved by choosing a simple but
representative model problem which allows to obtain analytical
results. A loose coupling partitioned procedure is presented
first. An iterative version of the same algorithm is presented
next together with an analysis of its convergence properties and a
brief discussion of a possible acceleration strategy. Finally a
new iterative strategy based on solving a modified equation
is described. Some examples of application of the
partitioned algorithms considered are presented including the
aeroelastic analysis of a bridge.
Abstract
The field of fluid-structure interaction (FSI) has important
applications ranging from the bio-medical to the civil and
aeronautical engineering fields. Despite the different approaches
developed over recent years the general solution of FSI problems
remains [...]
– The purpose of this paper is to highlight the possibilities of a novel Lagrangian formulation in dealing with the solution of the incompressible Navier‐Stokes equations with very large time steps.
Design/methodology/approach
– The design of the paper is based on introducing the origin of this novel numerical method, originally inspired on the Particle Finite Element Method (PFEM), summarizing the previously published theory in its moving mesh version. Afterwards its extension to fixed mesh version is introduced, showing some details about the implementation.
Findings
– The authors have found that even though this method was originally designed to deal with heterogeneous or free‐surface flows, it can be competitive with Eulerian alternatives, even in their range of optimal application in terms of accuracy, with an interesting robustness allowing to use large time steps in a stable way.
Originality/value
– With this objective in mind, the authors have chosen a number of benchmark examples and have proved that the proposed algorithm provides results which compare favourably, both in terms of solution time and accuracy achieved, with alternative approaches, implemented in in‐house and commercial codes.
Abstract
Purpose
– The purpose of this paper is to highlight the possibilities of a novel Lagrangian formulation in dealing with the solution of the incompressible Navier‐Stokes equations [...]
We propose here an efficient approach for treating the interaction between membranes and fluids. Slight compressibility of the fluid is assumed. Classical total Lagrangian formulation including wrinkling is adopted for the membrane representation, whereas fluid is treated in an updated Lagrangian manner, developed in the current work. Assumption of slight compressibility of the fluid enables one to define the monolithic fluid-membrane system in a natural way. The displacements are the primary variables of both the fluid and the membrane domains. The formulation adopts the Particle Finite Element Method (PFEM) philosophy for free-surface identification and mesh regeneration. Three examples illustrate the functionality of the formulation in application to FSI problems involving motion of membranes in water
Abstract
We propose here an efficient approach for treating the interaction between membranes and fluids. Slight compressibility of the fluid is assumed. Classical total Lagrangian formulation including [...]
The microscopic stress field provides a unique connection between atomistic simulations and mechanics at the nanoscale. However, its definition remains ambiguous. Rather than a mere theoretical preoccupation, we show that this fact acutely manifests itself in local stress calculations of defective graphene, lipid bilayers, and fibrous proteins. We find that popular definitions of the microscopic stress violate the continuum statements of mechanical equilibrium, and we propose an unambiguous and physically sound definition.
Abstract
The microscopic stress field provides a unique connection between atomistic simulations and mechanics at the nanoscale. However, its definition remains [...]