scholarly journals Improved fractional step method for simulating fluid-structure interaction using the PFEM

2014 ◽  
Vol 99 (12) ◽  
pp. 925-944 ◽  
Author(s):  
Minjie Zhu ◽  
Michael H. Scott
Keyword(s):  
Fluid Structure Interaction ◽  
Fractional Step ◽  
Step Method ◽  
Fractional Step Method ◽  
Fluid Structure ◽  
Structure Interaction

scholarly journals A SEMI-IMPLICIT APPROACH FOR FLUID-STRUCTURE INTERACTION BASED ON AN ALGEBRAIC FRACTIONAL STEP METHOD

2007 ◽  
Vol 17 (06) ◽  
pp. 957-983 ◽  
Author(s):  
A. QUAINI ◽  
A. QUARTERONI
Keyword(s):  
Fluid Structure Interaction ◽  
Mass Effect ◽  
Added Mass ◽  
Fractional Step ◽  
Step Method ◽  
Fractional Step Method ◽  
Fluid Structure ◽  
Structure Interaction ◽  
Wide Range ◽  
Structure Problem

We address the numerical simulation of fluid-structure interaction problems characterized by a strong added-mass effect. We propose a semi-implicit coupling scheme based on an algebraic fractional-step method. The basic idea of a semi-implicit scheme consists in coupling implicitly the added-mass effect, while the other terms (dissipation, convection and geometrical nonlinearities) are treated explicitly. Thanks to this kind of explicit–implicit splitting, computational costs can be reduced (in comparison to fully implicit coupling algorithms) and the scheme remains stable for a wide range of discretization parameters. In this paper we derive this kind of splitting from the algebraic formulation of the coupled fluid-structure problem (after finite-element space discretization). From our knowledge, it is the first time that algebraic fractional step methods, used thus far only for fluid problems in computational domains with rigid boundaries, are applied to fluid-structure problems. In particular, for the specific semi-implicit method presented in this work, we adapt the Yosida scheme to the case of a coupled fluid-structure problem. This scheme relies on an approximate LU block factorization of the matrix obtained after the discretization in time and space of the fluid-structure system. We analyze the numerical performances of this scheme on 2D fluid-structure simulations performed with a simple 1D structure model.

A Partitioned Algorithm of Dynamic Fluid-Structure Interaction for Elephant Foot Bulging of Tanks

2006 ◽  
Author(s):  
Q. Li ◽  
H. Z. Liu ◽  
Z. Zhuang ◽  
S. Yamaguchi ◽  
M. Toyoda
Keyword(s):  
Fluid Structure Interaction ◽  
Arbitrary Lagrangian Eulerian ◽  
Step Method ◽  
Fluid Structure ◽  
Structure Interaction ◽  
Liquid Storage ◽  
Computational Mesh ◽  
Computational Fluid Dynamics Cfd ◽  
Liquid Storage Tank ◽  
Coupling Algorithm

A partitioned coupling algorithm is presented in this paper to solve the dynamic large-displacement fluid-structure interaction (DFSI) problems. In this algorithm, the program based on arbitrary Lagrangian Eulerian (ALE) and fractional two-step method is developed to calculate computational fluid dynamics (CFD) and computational mesh dynamics (CMD). ABAQUS is used to calculate computational structure dynamics (CSD). Some user subroutines are implemented into ABAQUS and the data are exchanged among CSD, CFD and CMD. Numerical results including elephant foot bulging (EFB) of the liquid storage tank are obtained under dynamic waveform.

Immersed Boundary and Finite Element Methods Approach for Interaction of an Elastic Body and Fluid by Two-Stage Correction of Velocity and Pressure

2007 ◽  
Author(s):  
Tuan Mohammad Yusoff Shah Tuan Ya ◽  
Shintaro Takeuchi ◽  
Takeo Kajishima
Keyword(s):  
Finite Element ◽  
Elastic Body ◽  
Fluid Structure Interaction ◽  
New Method ◽  
Immersed Boundary ◽  
Momentum Exchange ◽  
Fractional Step Method ◽  
Fluid Structure ◽  
Structure Interaction ◽  
Interaction Problem

A new method for solving fluid-structure interaction problem is proposed by coupling immersed boundary method (IBM) and finite element method (FEM). This new method enables efficient simulation of fluid-structure interaction. Pressure and viscous forces are used for fluid and elastic body coupling. Pressure field is solved using fractional step method (FSM). An efficient pressure retrieval method is developed to allocate pressure information from the nearest fluid cell to Lagrangian points on the object’s surface. At the cells occupied by solid region, velocity field is subjected to momentum exchange procedure. The second correction of pressure is undertaken in the occupied region. Simplified marker and cell (SMAC) method is used to find scalar values for velocity and pressure correction. The present method is applied to 2-D flow fields with an elastic body to show the applicability of the method. A NACA 0012 airfoil is used as the neutral shape of the elastic object within the flow. The airfoils are initially placed in a fluid at rest with attack angle of −5° and −10°. Then, a uniform flow is given at the inlet. The coupling of IBM and FEM to study fluid and elastic body interaction problem have shown promising results. The method also shows good performance in obtaining solution in a feasible computation time.

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