An immersed boundary method for solving the compressible navierstokes equations with fluid structure interaction michael f. Pdf fluidstructure interaction via an adaptive finite. An efficient framework for fluidstructure interaction using. Unlike the bodyconforming mesh method which imposes the noslip boundary conditions directly. Using analytical techniques to investigate the stability and. Immersed methods for fluidstructure interaction annual. Immersed boundary method for coupled fluidstructure.
In this method, the fluid dynamics is solved by a finite difference method where the temporal, viscous and convective terms are respectively discretized by the thirdorder rungekutta scheme, the fourthorder central difference scheme and a. Fluid structure interaction fsi is the interaction of some movable or deformable structure with an internal or surrounding fluid flow. Improvement of immersed boundary method for simulation of fluid structure interaction changhong hu and cheng liu research institute for applied mechanics, kyushu university, fukuoka, japan email. However, fully harnessing gpu parallelism requires specialized algorithms and computing strategies. A new fluid structure interaction approach for bioinspired regime is presented. Nov 05, 2018 this paper aims to propose a new smoothed particle hydrodynamics sphfinite element fe algorithm to study fluidstructure interaction fsi problems. Fluid structure interactions can be stable or oscillatory. For flows containing moving boundaries or fluid structure interaction fsi, immersed boundary methods can dramatically simplify the numerical. A hybrid immersed boundary and material point method for simulating 3d fluidstructure interaction problems. Thus, it is very challenging for conventional body. An immersed boundary method for fluidflexible structure. Hughes, a variational immersed boundary framework for fluidstructure interaction. This work modifies directforcing immersed boundary methods to model fluid structure interaction and investigates this behavior on gpus. Pim can handle the largely deformable solids owing to its softened model stiffness and insensitivity to.
An efficient framework for fluidstructure interaction using the lattice boltzmann method and immersed moving boundaries. Fluidstructure interaction study and flowrate prediction past a flexible membrane using immersed boundary method and artificial neural network techniques mithun kanchan biophysics laboratory, department of mechanical engineering, national institute of technology karnataka nitk. Pascazio, a movingleastsquares immersed boundary method for simulating the fluid structure interaction of elastic bodies with arbitrary thickness, journal of computational physics, v. Immersed boundary methods for fluidstructure interaction ducvinh le institute of high performance computing, singapore international workshop on flui d structure interaction problems 3005 03062016. Fluidstructure interaction with immersed boundary method based on hierarchical bspline based eulerian grid. Immersed boundary methods for fluidstructure interaction ducvinh le institute of high performance computing, singapore international workshop on flui d structure interaction problems 3005. Compared with the conventional iblbm, the current method employs the fractional step technique to solve the lattice boltzmann equation lbe with a forcing term. In the context of partitioned solvers, a finitedifference flow solver is coupled with an isogeometric analysis tool for. The classical representative of fixed grid methods is peskins immersed boundary method, which has been successfully applied, among others, to fsi problems arising in heart valve fluid mechanics, biofilming processes, the interaction between flexible fibers and flow, the interaction between a flapping filament and ambient flow, etc. Ib methods impose momentum forcing on an eulerian mesh to satisfy boundary conditions on the interface between fluid and structure, which enables us to use a nonbody conforming grid system for complexshaped moving bodies. An immersedboundary method for flowstructure interaction.
The aim of this study is to develop a model of fluid and heat transfer in a. An immersed boundary method for the compressible navierstokes equation and the additional infrastructure that is needed to solve moving boundary and fully coupled fluidstructure interaction problems is described. Pdf a hybrid immersed boundary and material point method. Isogeometric implementation and application to bioprosthetic heart valves, ices report 1412, the institute for computational engineering and sciences, the university of texas at austin, may 2014. The equations of motion governing the fluid structure interaction are. Let the immersed boundary exert a force density per unit length fs, t on the fluid.
A robust immersed boundarylattice boltzmann method for. This paper presents an immersed boundary ib method for fluid structure acoustics interactions involving large deformations and complex geometries. Its important task is to provide the bidirectional coupling between the fluid motion and the membrane dynamics. Kiris 1 computational aerosciences branch, nasa ames research center, mo ett field, ca, usa 2 department of aerospace and mechanical engineering, university of arizona, ucson,t az, usa. An immersed boundary method for the compressible navierstokes equation and the additional infrastructure that is needed to solve moving boundary and fully coupled fluid structure interaction problems is described. A discreteforcing immersed boundary method for the fluid. Solving fluid structure interaction problems with an. In the method, an efficient navierstokes solver adopting the fractional step method and a. The immersed boundary method ibm is presented in this chapter. Pdf implicit immersed boundary method for fluidstructure. Kiris ams seminar, nasa ames research center, sep 8, 2016 computational aerosciences branch nasa ames research center aiaa 20163265.
Regardless of the method used, a main difficulty of those methods resides in the imposition of the boundary condition to the fluid equations 21, 17, 22, especially for thin solids. Pdf immersed boundary methods for simulating fluid. In this method, the incompressible fluid flow is discretized using the fast immersed boundary method with nullspace approach, previously developed by colonius and taira. Mittal and iaccarino 2 refer to all these and other related methods as immersed boundary methods and provide various categorizations of these methods. Pdf an immersed boundary method for fluidstructure interaction. Immersed boundary methods for fluid structure interaction and shape optimization within an fembased pde toolbox janos benk, hansjoachim bungartz, miriam mehl, and michael ulbrich abstract one of the main challenges in a classical meshbased femapproach is the representation of complex geometries. More precisely, we will consider the directforcing immersed boundary projection method. Consider the motion of an immersed elastic boundary xs, t, which is parameterized by s over the range 0. The immersed boundary method acta numerica cambridge core. Immersed boundary lattice boltzmann method, fractional step, suppression of force nonphysical oscillation. Presenting a fluid solver based on the lattice boltzmann method lbm that is algorithmically optimized for gpu, allowing for a peak rate of 270 million points to be updated per second, and realtime user interaction with the fluid flow. The term immersed boundary method was first used in reference to a method developed by peskin 1972 to simulate cardiac mechanics and associated blood flow. Flow variables at these grid points hanging nodes, which are the closest to the wall boundary in the fluid domain, are interpolated based on the wall boundary condition and the flow condition.
Immersed boundary methods for fluidstructure interaction and shape optimization. Initially, the immersed body is unstable and the fluid is at rest. Immersed boundary methods for fluidstructure interaction and. A directforcing immersed boundary projection method for. Batra1 1department of biomedical engineering and mechanics, virginia polytechnic institute. Dynamic adaptive mesh refinement of fluid structure interaction using immersed boundary method with twostage corrections. We present a novel framework inspired by the immersed boundary method for predicting the fluid structure interaction of complex structures immersed in flows with moderate to high reynolds numbers. A robust immersed boundary lattice boltzmann method iblbm is proposed to simulate fluid structure interaction fsi problems in this work. We will introduce a cartesiangridbased non boundary conforming approach for. These methods, which typically use an eulerian description of the fluid and a lagrangian description of the structure, can treat thin immersed boundaries and volumetric bodies, and they can model.
Pdf an immersed boundary method for fluidstructure. In the method, an efficient navierstokes solver adopting the fractional step method and a staggered cartesian grid system is used to solve the incompressible fluid motion in an eulerian domain. The aim of this paper is to provide a survey of the state of the art in the finite element approach to the immersed boundary method feibm which has been investigated by the authors during the last decade. Immersed methods provide mathematical and computational frameworks for modeling fluidstructure systems. In computational fluid dynamics, the immersed boundary method originally referred to an approach developed by charles peskin in 1972 to simulate fluid structure fiber interactions. Fast fluidstructure interaction using lbm and immersed. Demonstrating a gpu immersed boundary method ibm that allows our lbm to interact with both rigid and. A novel immersed boundary method is introduced for simulating the fluid structure interaction problem.
An improved directforcing immersed boundary method for fluid structure interaction simulations article pdf available in journal of fluids engineering 64. Pdf implicit immersed boundary method for fluidstructure interaction. This technique is based on the combination of hybrid immersed boundary method hibm as a fluid solver and finite element method femmaterial point method mpm as a solid structure solver. The fluid dynamics and the structure motion are coupled in a partitioned iterative manner with a feedback penalty immersed boundary method where the flow dynamics is defined on a fixed lagrangian grid and the structure dynamics is described on a global coordinate. Kirisz2 1science and technology corporation, mo ett field, ca 94035 2nasa ames research center, mo ett field, ca 94035. An alternative method to accomplish the same task is the immersed boundary method ibm. Dynamic adaptive mesh refinement of fluidstructure. Fluid structure interaction study and flowrate prediction past a flexible membrane using immersed boundary method and artificial neural network techniques mithun kanchan biophysics laboratory, department of mechanical engineering, national institute of technology karnataka nitk.
Solving fluid structure interaction problems with an immersed boundary method michael f. Keywords fluidstructure interaction, immersed boundary method, immersed interface method, immersed finiteelement method, applications in. Application of sphfe method for fluidstructure interaction. Ices report 1412 a variational immersed boundary framework. Simulation of fluidstructure and fluidmediated structure. Immersed methods provide mathematical and computational frameworks for modeling fluid structure systems. The newly developed smoothed point interpolation method s. In this approach, a previously developed, sharpinterface, immersed boundary method for incompressible flows is used to model the fluid flow and a new, sharpinterface cartesian grid, immersed boundary method is devised to solve the equations of linear viscoelasticity that governs the solid. An immersed boundary method for simulation of fluidflexible structure interaction has been proposed. An improved immersed boundary ib method is proposed to increase the accuracy and. An immersed boundary method for fluidstructure interaction.
A new fluidstructure interaction approach for bioinspired regime is presented. L, through a viscous incompressible newtonian fluid. The immersed boundary method for incompressible fluidstructure. Fluidstructure interaction and the immersed boundary method. Gpubased fluidstructure interaction using immersed. The immersed boundary ib method is an approach to modeling fluidstructure interaction fsi that we and others use to simulate cardiac. In the present work, the stokes flow induced by the motion of an elastic massless body immersed in a twodimensional fluid is studied using immersed boundary method. Balaras, a strongly coupled, embedded boundary method for fluid structure interactions of elastically mounted rigid bodies, j. Representation of the points in the vicinity of an immersed boundary used in the ghostcell approach. Stern, a simple and efficient direct forcing immersed boundary framework for fluid structure interactions, j. Gpubased fluidstructure interaction using immersed boundary. Improvement of immersed boundary method for simulation of. Immersed boundary method for fluid structure interaction simulations1 in the present work, we present an improved version of the directforcing immersed boundary ib method proposed in wang and zhang 2011, an immersed boundary method based on discrete stream function formulation for two and threedimensional incompressible flows, j.
This paper is concerned with the mathematical structure of the immersed boundary ib method, which is intended for the computer simulation of fluid structure interaction, especially in biological fluid dynamics. Computational fluid dynamics immersed boundary method high performance computing heat transfer fluid structure interaction. Immersed boundary methods for simulating fluidstructure. An immersed boundary method for solving the compressible navierstokes equations with fluid structure interaction christoph brehm 1, michael f. My approach to studying complex fluid structure interaction problems is twofold. Pdf this paper presents a twodimensional immersed boundary method for fluidstructure interaction with compressible multiphase flows. Adaptive mesh refinement for simulating fluidstructure. The essence of the immersed boundary method imbm is to represent boundaries by local forces in the navierstokes equations, which are then solved computationally on a regular grid. Immersed boundary methods for fluidstructure interaction.
Constrained moving leastsquares immersed boundary method for. The hallmark of these methods is their inherent ability to handle arbitrarily complex domains with arbitrarily complex deformable immersed boundaries without the need to construct. Fluidstructure interaction is ubiquitous in nature and occurs at all biological scales. I performed solver verification using liddriven cavity flow, impulsively started flow over a cylinder, flow over a forced oscillating cylinder and vortexinduced vibration. Sep 08, 2016 an immersed boundary method for solving the compressible navierstokes equations with fluid structure interaction michael f.
An immersed boundary method for fluidstructure interaction based. The proposed method is a powerful tool to investigate complex fsi problems and has been applied to a wide number of fsi problems. Numerical simulation of fluid and heat transfer in a biological tissue using an immersed boundary method mimicking the exact structure of the microvascular network. Pdf an improved directforcing immersed boundary method. This cited by count includes citations to the following articles in scholar. These include methods such as the immersed interface method, the cartesian grid method, the ghost fluid method and the cutcell method. Pdf a novel immersed boundary method is introduced for simulating the fluid structure interaction problem. The combination of the fluid and structure motions constitutes the socalled fluid structure interaction fsi problem see 1, 2 for examples. Fluid structure interaction for flow past a low reynolds number airfoil with deformation rotation.
The immersed boundary method ibm introduced by peskin 15 has been used successfully for solving flow problems in complex geometries presenting moving boundaries, especially for problems involving fluid structure interaction. Fluidstructure interaction fsi problems commonly encountered in engineering and biological applications involve geometrically complex flexible or rigid. Pdf fluidstructure interaction with immersed boundary method. The distinguishing feature of this method was that the entire simulation was carried out on a cartesian grid, which did not conform to the geometry of the heart, and a novel procedure was formulated for imposing the. The immersed boundary method ibm is an efficient procedure for modeling and simulating fsi problems especially when an elastic structure interacts with a fluid. On the other hand, when dealing with elasticity, it is customary to express the stress as a function of. Fluid structure interaction is ubiquitous in nature and occurs at all biological scales. Fluidstructure interaction study and flowrate prediction. Dec 19, 2015 herein, we describe a fluidstructure interaction model of the aortic root, including the aortic valve leaflets, the sinuses of valsalva, the aortic annulus, and the sinotubular junction, that employs a version of peskins immersed boundary ib method with a finite element description of the structural elasticity. Xiaojue zhu graduate research assistant immersed boundary. An immersed boundary method for fluidflexible structure interaction. The immersed boundary method is implemented in an unstructuredgrid, compressible reynolds averaged navierstokes solver to perform fluid structure interaction simulations in a turbo machinery configurations.
In oscillatory interactions, the strain induced in the solid structure causes it to move such that the source of strain is reduced, and the structure returns to its former state only for the. Simulation of fluidstructure interaction with moving. Numerical simulation of fluid and heat transfer in a. In the present study, a sharp interface ib method is employed to describe effect of the wall boundary. The ib formulation of such problems, derived here from the principle of least action, involves both eulerian and lagrangian variables, linked by the dirac delta function. Validation for fluidstructure interaction problems. The immersed boundary ib method was introduced to study. The ib method is both a mathematical formulation and a numerical scheme. Immersed boundaryfinite element model of fluidstructure.
Numerical simulations of fluidstructure interaction. Treating the coupling of the structure deformations and the fluid flow poses a number of challenging problems for numerical simulations the elastic boundary changes the flow of the fluid and the fluid moves the. Mar 01, 2009 a numerical method which is designed for handling these complex problems is the immersed boundary method 22, 23, 20. Towards a flexible immersed boundary method for fluid. An immersed boundary method for simulation of fluid flexible structure interaction has been proposed. Examples range from blood flow in the cardiovascular systems to flows past swimming animals and organisms. The body can induce fluid motion while returning to its equilibrium stable state leading to a fluid structure. In the present work a numerical method for the fluid structure interaction of an incompressible flow and a thin shell is presented. The mathematical formulation employs a mixture of eulerian and lagrangian variables. The usual way of characterizing a fluid motion is the eulerian framework, where the system is described using the velocity and pressure fields. Compared with the conventional iblbm, the current method employs the fractional step technique to.
An immersed boundary method for solving the compressible. Curvilinear immersed boundary method for simulating fluid. Immersed boundary methods have emerged as a powerful numerical approach for simulating complex fluid structure interaction problems in engineering and biology. Applying the immersed boundary method to simulate the interaction of an elastic, deformable interface with an incompressible fluid flow. Such flows take place in multiconnected domains with complex geometries, flexible moving boundaries, over a range of reynolds numbers, and usually involve nonlinear fluid structure interactions. This paper is concerned with the mathematical structure of the immersed boundary ib method, which is intended for the computer simulation of fluidstructure interaction, especially in biological fluid dynamics. Immersed boundary methods for simulating fluidstructure interaction. The immersed boundary method is implemented in an unstructuredgrid, compressible reynolds averaged navierstokes solver to perform fluid structure interaction simulations in. Solving fluid structure interaction problems with an immersed. Fluid structure interaction and the immersed boundary method. Batra1 1department of biomedical engineering and mechanics, virginia polytechnic institute and state university, mc 0219, blacksburg, va 24061, usa 2state key laboratory of mechanical system and vibration, shanghai.
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