Relevant bibliographies by topics / Immersed boundary method

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Immersed boundary method'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 March 2025

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Journal articles on the topic "Immersed boundary method"

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Wang, X. Sheldon. "From Immersed Boundary Method to Immersed Continuum Methods." International Journal for Multiscale Computational Engineering 4, no. 1 (2006): 127–46. http://dx.doi.org/10.1615/intjmultcompeng.v4.i1.90.

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Peskin, Charles S. "The immersed boundary method." Acta Numerica 11 (January 2002): 479–517. http://dx.doi.org/10.1017/s0962492902000077.

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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. 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. Spatial discretization of the IB equations is based on a fixed Cartesian mesh for the Eulerian variables, and a moving curvilinear mesh for the Lagrangian variables. The two types of variables are linked by interaction equations that involve a smoothed approximation to the Dirac delta function. Eulerian/Lagrangian identities govern the transfer of data from one mesh to the other. Temporal discretization is by a second-order Runge–Kutta method. Current and future research directions are pointed out, and applications of the IB method are briefly discussed.
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Cai, Shang-Gui, Abdellatif Ouahsine, Julien Favier, and Yannick Hoarau. "Moving immersed boundary method." International Journal for Numerical Methods in Fluids 85, no. 5 (June 9, 2017): 288–323. http://dx.doi.org/10.1002/fld.4382.

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Chen, Y. G., and L. Wan. "Interpolated Velocity Correction Immersed Boundary-Lattice Boltzmann Method for Fluid Flows with Flexible Boundary." International Journal of Materials, Mechanics and Manufacturing 3, no. 4 (2015): 231–36. http://dx.doi.org/10.7763/ijmmm.2015.v3.202.

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Tseng, Yu-Hau, and Huaxiong Huang. "An immersed boundary method for endocytosis." Journal of Computational Physics 273 (September 2014): 143–59. http://dx.doi.org/10.1016/j.jcp.2014.05.009.

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Karim M. Ali, Mohamed Madbouli, Hany M. Hamouda, and Amr Guaily. "A Stress Mapping Immersed Boundary Method for Viscous Flows." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 87, no. 3 (October 6, 2021): 1–20. http://dx.doi.org/10.37934/arfmts.87.3.120.

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This work introduces an immersed boundary method for two-dimensional simulation of incompressible Navier-Stokes equations. The method uses flow field mapping on the immersed boundary and performs a contour integration to calculate immersed boundary forces. This takes into account the relative location of the immersed boundary inside the background grid elements by using inverse distance weights, and also considers the curvature of the immersed boundary edges. The governing equations of the fluid mechanics are solved using a Galerkin-Least squares finite element formulation. The model is validated against a stationary and a vertically oscillating circular cylinder in a cross flow. The results of the model show acceptable accuracy when compared to experimental and numerical results.
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Huang, Wei-Xi, and Fang-Bao Tian. "Recent trends and progress in the immersed boundary method." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 233, no. 23-24 (April 16, 2019): 7617–36. http://dx.doi.org/10.1177/0954406219842606.

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The immersed boundary method is a methodology for dealing with boundary conditions at fluid–fluid and fluid–solid interfaces. The immersed boundary method has been attracting growing attention in the recent years due to its simplicity in mesh processing. Great effort has been made to develop its new features and promote its applications in new areas. This review is focused on assessing the immersed boundary method fundamentals and the latest progresses especially the strategies to address the challenges and the applications of the immersed boundary method. Various numerical examples are also presented for demonstrating the capability of the immersed boundary method, including blood flow and blood cells, flapping flag, flow around a hoverfly, turbulence flow over a wavy boundary, shock wave-induced vibration, and acoustic waves scattered by a cylinder and a sphere. The major challenges and several open issues in this field are highlighted.
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Lundquist, Katherine A., Fotini Katopodes Chow, and Julie K. Lundquist. "An Immersed Boundary Method for the Weather Research and Forecasting Model." Monthly Weather Review 138, no. 3 (March 1, 2010): 796–817. http://dx.doi.org/10.1175/2009mwr2990.1.

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Abstract This paper describes an immersed boundary method that facilitates the explicit resolution of complex terrain within the Weather Research and Forecasting (WRF) model. Mesoscale models, such as WRF, are increasingly used for high-resolution simulations, particularly in complex terrain, but errors associated with terrain-following coordinates degrade the accuracy of the solution. The use of an alternative-gridding technique, known as an immersed boundary method, alleviates coordinate transformation errors and eliminates restrictions on terrain slope that currently limit mesoscale models to slowly varying terrain. Simulations are presented for canonical cases with shallow terrain slopes, and comparisons between simulations with the native terrain-following coordinates and those using the immersed boundary method show excellent agreement. Validation cases demonstrate the ability of the immersed boundary method to handle both Dirichlet and Neumann boundary conditions. Additionally, realistic surface forcing can be provided at the immersed boundary by atmospheric physics parameterizations, which are modified to include the effects of the immersed terrain. Using the immersed boundary method, the WRF model is capable of simulating highly complex terrain, as demonstrated by a simulation of flow over an urban skyline.
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Hu, Wei-Fan, Ming-Chih Lai, and Yuan-Nan Young. "A hybrid immersed boundary and immersed interface method for electrohydrodynamic simulations." Journal of Computational Physics 282 (February 2015): 47–61. http://dx.doi.org/10.1016/j.jcp.2014.11.005.

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Hu, Wei-Fan, Ming-Chih Lai, Yunchang Seol, and Yuan-Nan Young. "Vesicle electrohydrodynamic simulations by coupling immersed boundary and immersed interface method." Journal of Computational Physics 317 (July 2016): 66–81. http://dx.doi.org/10.1016/j.jcp.2016.04.035.

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Dissertations / Theses on the topic "Immersed boundary method"

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Falagkaris, Emmanouil. "Lattice Boltzmann method and immersed boundary method for the simulation of viscous fluid flows." Thesis, University of Edinburgh, 2018. http://hdl.handle.net/1842/33165.

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Most realistic fluid flow problems are characterised by high Reynolds numbers and complex boundaries. Over the last ten years, immersed boundary methods (IBM) that are able to cope with realistic geometries have been applied to Lattice- Boltzmann methods (LBM). These methods, however, have normally been applied to low Reynolds number problems. In the present work, an iterative direct forcing IBM has been successfully coupled with a multi-domain cascaded LBM in order to investigate viscous flows around rigid, moving and wilfully deformed boundaries at a wide range of Reynolds numbers. The iterative force-correction immersed boundary method of (Zhang et al., 2016) has been selected due to the improved accuracy of the computation, while the cascaded LB formulation is used due to its superior stability at high Reynolds numbers. The coupling is shown to improve both the stability and numerical accuracy of the solution. The resulting solver has been applied to viscous flow (up to a Reynolds number of 100000) passed a NACA-0012 airfoil at a 10 degree angle of attack. Good agreement with results obtained using a body-fitted Navier-Stokes solver has been obtained. At moving or deformable boundary applications, emphasis should be given on the influence of the internal mass on the computation of the aerodynamic forces, focusing on deforming boundary motions where the rigid body approximation is no longer valid. Both the rigid body and the internal Lagrangian points approximations are examined. The resulting solver has been applied to viscous flows around an in-line oscillating cylinder, a pitching foil, a plunging SD7003 airfoil and a plunging and flapping NACA-0014 airfoil. Good agreement with experimental results and other numerical schemes has been obtained. It is shown that the internal Lagrangian points approximation accurately captures the internal mass effects in linear and angular motions, as well as in deforming motions, at Reynolds numbers up to 4 • 104. Finally, an expanded higher-order immersed boundary method which addresses two major drawbacks of the conventional IBM will be presented. First, an expanded velocity profile scheme has been developed, in order to compensate for the discontinuities caused by the gradient of the velocity across the boundary. Second, a numerical method derived from the Navier-Stokes equations in order to correct the pressure distribution across the boundary has been examined. The resulting hybrid solver has been applied to viscous flows around stationary and oscillating cylinders and examined the hovering flight of elliptical wings at low Reynolds numbers. It is shown that the proposed scheme smoothly expands the velocity profile across the boundary and increases the accuracy of the immersed boundary method. In addition, the pressure correction algorithm correctly expands the pressure profile across the boundary leading to very accurate pressure coefficient values along the boundary surface. The proposed numerical schemes are shown to be very efficient in terms of computational cost. The majority of the presented results are obtained within a few hours of CPU time on a 2.8 GHz Intel Core i7 MacBook Pro computer with a 16GB memory.
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Madani, Kermani Seyed Hossein. "Application of immersed boundary method to flexible riser problem." Thesis, Brunel University, 2014. http://bura.brunel.ac.uk/handle/2438/9605.

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In the recent decades the Fluid-Structure Interaction (FSI) problem has been of great interest to many researchers and a variety of methods have been proposed for its numerical simulation. As FSI simulation is a multi-discipline and a multi-physics problem, its full simulation consists of many details and sub-procedures. On the other hand, reliable FSI simulations are required in various applications ranging from hemo-dynamics and structural engineering to aero-elasticity. In hemo-dynamics an incompressible fluid is coupled with a flexible structure with similar density (e.g. blood in arteries). In aero-elasticity a compressible fluid interacts with a stiff structure (e.g. aircraft wing) or an incompressible flow is coupled with a very light structure (e.g. Parachute or sail), whereas in some other engineering applications an incompressible flow interacts with a flexible structure with large displacement (e.g. oil risers in offshore industries). Therefore, various FSI models are employed to simulate a variety of different applications. An initial vital step to conduct an accurate FSI simulation is to perform a study of the physics of the problem which would be the main criterion on which the full FSI simulation procedure will then be based. In this thesis, interaction of an incompressible fluid flow at low Reynolds number with a flexible circular cylinder in two dimensions has been studied in detail using some of the latest published methods in the literature. The elements of procedures have been chosen in a way to allow further development to simulate the interaction of an incompressible fluid flow with a flexible oil riser with large displacement in three dimensions in future. To achieve this goal, a partitioned approach has been adopted to enable the use of existing structural codes together with an Immersed Boundary (IB) method which would allow the modelling of large displacements. A direct forcing approach, interpolation / reconstruction, type of IB is used to enforce the moving boundary condition and to create sharp interfaces with the possibility of modelling in three dimensions. This provides an advantage over the IB continuous forcing approach which creates a diffused boundary. And also is considered as a preferred method over the cut cell approach which is very complex in three dimensions with moving boundaries. Different reconstruction methods from the literature have been compared with the newly proposed method. The fluid governing equation is solved only in the fluid domain using a Cartesian grid and an Eulerian approach while the structural analysis was performed using Lagrangian methods. This method avoids the creation of secondary fluid domains inside the solid boundary which occurs in some of the IB methods. In the IB methods forces from the Eulerian flow field are transferred onto the Lagrangian marker points on the solid boundary and the displacement and velocities of the moving boundary are interpolated in the flow domain to enforce no-slip boundary conditions. Various coupling methods from the literature were selected and improved to allow modelling the interface and to transfer the data between fluid and structure. In addition, as an alternative method to simulate FSI for a single object in the fluid flow as suggested in the literature, the moving frame of reference method has been applied for the first time in this thesis to simulate Fluid-Structure interaction using an IB reconstruction approach. The flow around a cylinder in two dimensions was selected as a benchmark to validate the simulation results as there are many experimental and analytical results presented in the literature for this specific case.
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Lai, Xin. "Modeling and Numerical Simulations of Active and Passive Forces Using Immersed Boundary Method." Digital WPI, 2019. https://digitalcommons.wpi.edu/etd-theses/1334.

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This thesis uses the Immersed Boundary Method (IBM) to simulate the movement of a human heart. The IBM was developed by Charles Peskin in the 70’s to solve Fluid-Structure Interaction models (FSI). The heart is embedded inside a fluid (blood) which moves according to the Navier-Stokes equation. The Navier-Stokes equation is solved by the Spectral Method. Forces on the heart muscle can be divided into two kinds: Active Force and Passive Force. Passive includes the effect of curvature (Peskin’s model), spring model, and the torsional spring (or beam) model. Active force is modeled by the 3-element Hill model, which was used in the 30’s to model skeletal muscle. We performed simulations with different combinations of these four forces. Numerical simulations are performed using MATLAB. We downloaded Peskin’s code from the Internet and modified the Force.m file to include the above four forces. This thesis only considers heart muscle movement in the organ (macroscopic) scale.
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Gerych, Walter. "Versatile Anomaly Detection with Outlier Preserving Distribution Mapping Autoencoders." Digital WPI, 2019. https://digitalcommons.wpi.edu/etd-theses/1345.

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State-of-the-art deep learning methods for outlier detection make the assumption that outliers will appear far away from inlier data in the latent space produced by distribution mapping deep networks. However, this assumption fails in practice,because the divergence penalty adopted for this purpose encourages mapping outliers into the same high-probability regions as inliers. To overcome this shortcoming,we introduce a novel deep learning outlier detection method, called Outlier Preserving Distribution Mapping Autoencoder (OP-DMA), which succeeds to map outliers to low probability regions in the latent space of an autoencoder. For this we leverage the insight that outliers are likely to have a higher reconstruction error than inliers. We thus achieve outlier-preserving distribution mapping through weighting the reconstruction error of individual points by the value of a multivariate Gaussian probability density function evaluated at those points. This weighting implies that outliers will result in an overall penalty if they are mapped to low-probability regions. We show that if the global minimum of our newly proposed loss function is achieved,then our OP-DMA maps inliers to regions with a Mahalanobis distance less than \delta, and outliers to regions past this \delta, \delta being the inverse ChiSquared CDF evaluated at 1−\alpha with \alpha the percentage of outliers in the dataset. We evaluated OP-DMA on 11 benchmark real-world datasets and compared its performance against 7 different state-of-the-art outlier detection methods, including ALOCC and MO-GAAL. Our experiments show that OP-DMA outperforms the state-of-the-art methods on 7 of the datasets, and performs second best on 3 of the remaining 4 datasets, while no other method won on more than 1 dataset.
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Rowlatt, Christopher Frederick. "Modelling flows of complex fluids using the immersed boundary method." Thesis, Cardiff University, 2014. http://orca.cf.ac.uk/63680/.

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This thesis is concerned with fluid-structure interaction problems using the immersed boundary method (IBM). Fluid-structure interaction problems can be classified into two categories: a remeshing approach and a fixed-grid approach. Both approaches consider the fluid and structure separately and then couple them together via suitable interface conditions. A common choice of remeshing approach is the Arbitrary-Eulerian-Lagrangian (ALE) technique. Whilst the ALE method is a good choice if deformations are small, it becomes computationally very expensive if deformations are large. In such a scenario, one turns to a fixed-grid approach. However, the issue with a fixed-grid approach is the enforcement of the interface conditions. An alternative to the remeshing and fixed-grid approach is the IBM. The IBM considers the immersed elastic structure to be part of the surrounding fluid by replacing the immersed structure with an Eulerian force density. Therefore, the interface conditions are enforced implicitly. This thesis applies the finite element immersed boundary method (IBM) to both Newtonian and Oldroyd-B viscoelastic fluids, where the fluid variables are approximated using the spectral element method (hence we name the method the spectral element immersed boundary method (SE-IBM)) and the immersed boundary variables are approximated using either the finite element method or the spectral element method. The IBM is known to suffer from area loss problems, e.g. when a static closed boundary is immersed in a fluid, the area contained inside the closed boundary decreases as the simulation progresses. The main source of error in such a scenario can be found in the spreading and interpolation phases. The aim of using a spectral element method is to improve the accuracy of the spreading and interpolation phases of the IBM. We illustrate that the SE-IBM can obtain better area conservation than the FE-IBM when a static closed boundary is considered. Also, the SE-IBM obtains higher order convergence of the velocity in the L2 and H1 norms, respectively. When the SE-IBM is applied to a viscoelastic fluid, any discontinuities which occur in either the velocity gradients or the pressure, introduce oscillations in the polymeric stress components. These oscillations are undesirable as they could potentially cause the numerics to break down. Finally, we consider a higher-order enriched method based on the extended finite element method (XFEM), which we call the eXtended Spectral Element Method (XSEM). When XSEM is applied to the SE-IBM with a viscoelastic fluid, the oscillations present in the polymeric stress components are greatly reduced.
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Cai, Shang-Gui. "Computational fluid-structure interaction with the moving immersed boundary method." Thesis, Compiègne, 2016. http://www.theses.fr/2016COMP2276/document.

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Dans cette thèse, une nouvelle méthode de frontières immergées a été développée pour la simulation d'interaction fluide-structure, appelée la méthode de frontières immergées mobiles (en langage anglo-saxon: MIBM). L'objectif principal de cette nouvelle méthode est de déplacer arbitrairement les solides à géométrie complexe dans un fluide visqueux incompressible, sans remailler le domaine fluide. Cette nouvelle méthode a l'avantage d'imposer la condition de non-glissement à l'interface d'une manière exacte via une force sans introduire des constantes artificielles modélisant la structure rigide. Cet avantage conduit également à la satisfaction de la condition CFL avec un pas de temps plus grand. Pour un calcul précis de la force induite par les frontières mobiles, un système linéaire a été introduit et résolu par la méthode de gradient conjugué. La méthode proposée peut être intégrée facilement dans des solveurs résolvant les équations de Navier-Stokes. Dans ce travail la MIBM a été mise en œuvre en couplage avec un solveur fluide utilisant une méthode de projection adaptée pour obtenir des solutions d'ordre deux en temps et en espace. Le champ de pression a été obtenu par l'équation de Poisson qui a été résolue à l'aide de la méthode du gradient conjugué préconditionné par la méthode multi-grille. La combinaison de ces deux méthodes a permis un gain de temps considérable par rapport aux méthodes classiques de la résolution des systèmes linéaires. De plus le code de calcul développé a été parallélisé sur l'unité graphique GPU équipée de la bibliothèque CUDA pour aboutir à des hautes performances de calcul. Enfin, comme application de nos travaux sur la MIBM, nous avons étudié le couplage "fort" d'interaction fluide-structure (IFS). Pour ce type de couplage, un schéma implicite partitionné a été adopté dans lequel les conditions à l'interface sont satisfaites via un schéma de type "point fixe". Pour réduire le temps de calcul inhérent à cette application, un nouveau schéma de couplage a été proposé pour éviter la résolution de l'équation de Poisson durant les itérations du "point fixe". Cette nouvelle façon de résoudre les problèmes IFS a montré des performances prometteuses pour des systèmes en IFS complexe
In this thesis a novel non-body conforming mesh formulation is developed, called the moving immersed boundary method (MIBM), for the numerical simulation of fluid-structure interaction (FSI). The primary goal is to enable solids of complex shape to move arbitrarily in an incompressible viscous fluid, without fitting the solid boundary motion with dynamic meshes. This novel method enforces the no-slip boundary condition exactly at the fluid-solid interface with a boundary force, without introducing any artificial constants to the rigid body formulation. As a result, large time step can be used in current method. To determine the boundary force more efficiently in case of moving boundaries, an additional moving force equation is derived and the resulting system is solved by the conjugate gradient method. The proposed method is highly portable and can be integrated into any fluid solver as a plug-in. In the present thesis, the MIBM is implemented in the fluid solver based on the projection method. In order to obtain results of high accuracy, the rotational incremental pressure correction projection method is adopted, which is free of numerical boundary layer and is second order accurate. To accelerate the calculation of the pressure Poisson equation, the multi-grid method is employed as a preconditioner together with the conjugate gradient method as a solver. The code is further parallelized on the graphics processing unit (GPU) with the CUDA library to enjoy high performance computing. At last, the proposed MIBM is applied to the study of two-way FSI problem. For stability and modularity reasons, a partitioned implicit scheme is selected for this strongly coupled problem. The interface matching of fluid and solid variables is realized through a fixed point iteration. To reduce the computational cost, a novel efficient coupling scheme is proposed by removing the time-consuming pressure Poisson equation from this fixed point interaction. The proposed method has shown a promising performance in modeling complex FSI system
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Schwarz, Stephan. "An immersed boundary method for particles and bubbles in magnetohydrodynamic flows." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2014. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-142500.

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This thesis presents a numerical method for the phase-resolving simulation of rigid particles and deformable bubbles in viscous, magnetohydrodynamic flows. The presented approach features solid robustness and high numerical efficiency. The implementation is three-dimensional and fully parallel suiting the needs of modern high-performance computing. In addition to the steps towards magnetohydrodynamics, the thesis covers method development with respect to the immersed boundary method which can be summarized in simple words by From rigid spherical particles to deformable bubbles. The development comprises the extension of an existing immersed boundary method to non-spherical particles and very low particle-to-fluid density ratios. A detailed study is dedicated to the complex interaction of particle shape, wake and particle dynamics. Furthermore, the representation of deformable bubble shapes, i.e. the coupling of the bubble shape to the fluid loads, is accounted for. The topic of bubble interaction is surveyed including bubble collision and coalescence and a new coalescence model is introduced. The thesis contains applications of the method to simulations of the rise of a single bubble and a bubble chain in liquid metal with and without magnetic field highlighting the major effects of the field on the bubble dynamics and the flow field. The effect of bubble coalescence is quantified for two closely adjacent bubble chains. A framework for large-scale simulations with many bubbles is provided to study complex multiphase phenomena like bubble-turbulence interaction in an efficient manner.
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Bürger, Markus [Verfasser]. "An Immersed Boundary Method for Arbitrarily Shaped Lagrangian Bodies / Markus Bürger." Düren : Shaker, 2021. http://d-nb.info/1225654211/34.

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Park, Hee Sung. "Immersed Boundary Method for High Reynolds Number Computation of Rotorcraft Aerodynamics." Thesis, The University of Sydney, 2020. https://hdl.handle.net/2123/22441.

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In this research, an Immersed Boundary Method (IBM) is developed and implemented into a finite-volume based incompressible, Navier-Stokes solver within OpenFOAM for efficient full rotorcraft simulations. Given a geometry definition, a simple Cartesian mesh generated through a fully automated process can be used for an IBM since it is a non-body-conformal mesh approach which incorporates geometrical complexities using momentum forcing to enforce its boundary condition onto the flow field. Detached Eddy Simulation is employed for the turbulence modelling, and an appropriate wall function for the Spalart-Allmaras turbulence model is defined and implemented as needed for efficient high Reynolds number computations. Also, it is demonstrated that a Total Variation Diminishing reconstruction must be used to give physically reasonable results. Finally, an Actuator Surface Model (ASM) is integrated with the IBM solver, concluding the overall IBM-ASM methodology to address rotorcraft problems. Detailed verification and validation of the IBM solver are demonstrated for three test cases: (i) low Reynolds number flow over a fixed cylinder to inspect its capability in fully resolved simulations, (ii) a zero-pressure-gradient turbulent boundary layer flow over a flat plate to verify the tangential velocity profile modelled by a wall function, and (iii) high Reynolds number flow over a fixed cylinder to validate for unsteady flow over curved surfaces using a wall function. Lastly, the integrated IBM-ASM solver is validated against experimental measurements for the flow around a simplified airframe developed by Georgia Institute of Technology. Unsteady rotor-wake/fuselage interactions in a forward flight condition are analysed. Results are competitive with existing best methods using a fraction of the setup and computational effort of the body conforming method.
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Linnick, Mark Nicholas. "A high-order immersed boundary method for unsteady incompressible flow calculations." Diss., The University of Arizona, 2003. http://hdl.handle.net/10150/290009.

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A high-order immersed boundary method (IBM) for the computation of unsteady, incompressible fluid flows on two-dimensional, complex domains is proposed, analyzed, developed and validated. In the IBM, the equations of interest are discretized on a fixed Cartesian grid. As a result, domain boundaries do not always conform to the (rectangular) computational domain boundaries. This gives rise to 'immersed boundaries', i.e., boundaries immersed inside the computational domain. A new IBM is proposed to remedy problems in an older existing IBM that had originally been selected for use in numerical flow control investigations. In particular, the older method suffered from considerably reduced accuracy near the immersed boundary surface where sharp jumps in the solution, i.e., jump discontinuities in the function and/or its derivatives, were smeared out over several grid points. To avoid this behavior, a sharp interface method, originally developed by LeVeque & Li (1994) and Wiegmann & Bube (2000) in the context of elliptic PDEs, is introduced where the numerical scheme takes such discontinuities into consideration in its design. By comparing computed solutions to jump-singular PDEs having known analytical solutions, the new IBM is shown to maintain the formal fourth-order accuracy, in both time and space, of the underlying finite-difference scheme. Further validation of the new IBM code was accomplished through its application to several two-dimensional flows, including flow past a circular cylinder, and T-S waves in a flat plate boundary layer. Comparison of results from the new IBM with results available in the literature found good agreement in all cases.
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Books on the topic "Immersed boundary method"

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Roy, Somnath, Ashoke De, and Elias Balaras, eds. Immersed Boundary Method. Singapore: Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-3940-4.

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Roy, Somnath, Ashoke De, and Elias Balaras. Immersed Boundary Method: Development and Applications. Springer Singapore Pte. Limited, 2021.

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Roy, Somnath, Ashoke De, and Elias Balaras. Immersed Boundary Method: Development and Applications. Springer, 2020.

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Yao, Guangfa. Immersed Boundary Method for CFD: Focusing on its Implementation. CreateSpace Independent Publishing Platform, 2018.

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Immersed Boundary Method For CFD: Focusing on Its Implementation. CreateSpace Independent Publishing Platform, 2016.

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Book chapters on the topic "Immersed boundary method"

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Luo, Haoxiang. "Immersed Boundary Method." In Encyclopedia of Microfluidics and Nanofluidics, 1333–37. New York, NY: Springer New York, 2015. http://dx.doi.org/10.1007/978-1-4614-5491-5_674.

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Luo, Haoxiang. "Immersed Boundary Method." In Encyclopedia of Microfluidics and Nanofluidics, 1–5. Boston, MA: Springer US, 2014. http://dx.doi.org/10.1007/978-3-642-27758-0_674-5.

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Ito, Kazufumi, and Zhilin Li. "Immersed Interface/Boundary Method." In Encyclopedia of Applied and Computational Mathematics, 667–76. Berlin, Heidelberg: Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-540-70529-1_387.

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Krüger, Timm. "Fluid-structure interaction: the immersed boundary method." In Computer Simulation Study of Collective Phenomena in Dense Suspensions of Red Blood Cells under Shear, 37–42. Wiesbaden: Vieweg+Teubner Verlag, 2012. http://dx.doi.org/10.1007/978-3-8348-2376-2_6.

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Gong, Z. X., H. X. Huang, and C. J. Lu. "Stability Analysis for the Immersed Boundary Method." In New Trends in Fluid Mechanics Research, 718–21. Berlin, Heidelberg: Springer Berlin Heidelberg, 2007. http://dx.doi.org/10.1007/978-3-540-75995-9_241.

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Cai, Shang-Gui, Abdellatif Ouahsine, Julien Favier, and Yannick Hoarau. "Improved Implicit Immersed Boundary Method via Operator Splitting." In Computational Methods in Applied Sciences, 49–66. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-27996-1_3.

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Gounley, John, Erik W. Draeger, and Amanda Randles. "Immersed Boundary Method Halo Exchange in a Hemodynamics Application." In Lecture Notes in Computer Science, 441–55. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-22734-0_32.

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Hu, Guotun, Lin Du, and Xiaofeng Sun. "An Immersed Boundary Method for Simulating an Oscillating Airfoil." In Fluid-Structure-Sound Interactions and Control, 343–49. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-40371-2_49.

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Hoang, D. T. K., S. V. Pham, K. N. Tran, C. D. Nguyen, and K. P. Nguyen. "Aeroelastic Analysis on Wing Structure Using Immersed Boundary Method." In Proceedings of the International Conference on Advances in Computational Mechanics 2017, 783–92. Singapore: Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-10-7149-2_55.

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Zu, Wen-Hong, Ju-Hua Zhang, Duan-Duan Chen, Yuan-Qing Xu, Qiang Wei, and Fang-Bao Tian. "Immersed Boundary-Lattice Boltzmann Method for Biological and Biomedical Flows." In Communications in Computer and Information Science, 383–92. Berlin, Heidelberg: Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-642-53962-6_34.

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Conference papers on the topic "Immersed boundary method"

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Akbarzadeh, Amir, and Iman Borazjani. "A compressible LES with immersed boundary method." In AIAA Scitech 2021 Forum. Reston, Virginia: American Institute of Aeronautics and Astronautics, 2021. http://dx.doi.org/10.2514/6.2021-2008.

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Cao, Teng, Paul Hield, and Paul G. Tucker. "Hierarchical Immersed Boundary Method with Smeared Geometry." In 54th AIAA Aerospace Sciences Meeting. Reston, Virginia: American Institute of Aeronautics and Astronautics, 2016. http://dx.doi.org/10.2514/6.2016-2130.

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Muldoon, Frank, and Sumanta Acharya. "Mass Conservation in the Immersed Boundary Method." In ASME 2005 Fluids Engineering Division Summer Meeting. ASMEDC, 2005. http://dx.doi.org/10.1115/fedsm2005-77301.

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The immersed boundary approach for the modeling of complex geometries in incompressible flows is examined critically from the perspective of satisfying boundary conditions and mass conservation. The system of discretized equations for mass and momentum can be inconsistent if the real velocities are used in defining the forcing terms used to satisfy the boundary conditions. As a result, the velocity is generally not divergence free and the pressure at locations in the vicinity of the immersed boundary is not physical. However, the use of the pseudo velocities in defining the forcing (as frequently done when the governing equations are solved using a fractional step or projection method) combined with the use of the specified velocity on the immersed boundary is shown to result in a consistent set of equations which allows a divergence free velocity but, depending on the time step used to obtain a steady state solution, is shown to have an undesirable effect of allowing significant permeability of the immersed boundary. An improvement is shown if the pressure gradient is integrated in time using the Crank-Nicholson scheme instead of the backward Euler scheme. However, even with this improvement a significant reduction in the time step and hence increase in computational expense is still required for sufficient satisfaction of the boundary conditions.
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Keistler, Patrick. "An Immersed Boundary Method for Supersonic Flow." In 46th AIAA Aerospace Sciences Meeting and Exhibit. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2008. http://dx.doi.org/10.2514/6.2008-529.

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Arina, Renzo, and Bijan Mohammadi. "An Immersed Boundary Method for Aeroacoustics Problems." In 14th AIAA/CEAS Aeroacoustics Conference (29th AIAA Aeroacoustics Conference). Reston, Virigina: American Institute of Aeronautics and Astronautics, 2008. http://dx.doi.org/10.2514/6.2008-3003.

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Yan, Jianfeng, and Jason E. Hicken. "Immersed Boundary Method as an Inverse Problem." In 2018 Fluid Dynamics Conference. Reston, Virginia: American Institute of Aeronautics and Astronautics, 2018. http://dx.doi.org/10.2514/6.2018-4162.

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Akbarzadeh, Amir, and Iman Borazjani. "Shock Boundary Layer Interaction Using the Curvilinear Immersed Boundary Method." In AIAA SCITECH 2025 Forum. Reston, Virginia: American Institute of Aeronautics and Astronautics, 2025. https://doi.org/10.2514/6.2025-2574.

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Singh, Krishna M., Norihiko Nonaka, and U. Oh. "Immersed Boundary Method for CFD Analysis of Moving Boundary Problems in OpenFOAM." In ASME 2015 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/imece2015-53286.

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CFD simulation of hydraulic equipments involving moving boundary components is really challenging due to difficulty in maintaining a good quality mesh essential for obtaining accurate numerical solutions. To deal with these problems, commercial codes such as Ansys CFX provide the option of mesh morphing which must be used in conjunction with pre-defined multiple grid configurations to account for changing flow domain. In contrast to this approach, immersed boundary method (IBM) provides an attractive alternative in which the complex moving surface is immersed in a fixed Cartesian (or polyhedral) grid. We have developed an immersed boundary simulation tool-kit for moving boundary problems based on OpenFOAM. It requires the user to provide the definition of the immersed surfaces in STL (stereolithography) format, type of flow (internal/external) and motion (stationary, pre-defined or flow-induced) of the surface. Numerical simulations have been performed for selected test cases to assess the computational performance of the immersed boundary too-kit. Numerical results of flow over stationary as well as vibrating cylinders agree very well with available experimental and numerical results, and show that the immersed boundary simulations accurately capture the vortex shedding frequency and vortical structures for moving boundary problems.
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Edwards, Jack R., Jung-IL Choi, Santanu Ghosh, Daniel A. Gieseking, and Jeffrey D. Eischen. "An Immersed Boundary Method for General Flow Applications." In ASME 2010 3rd Joint US-European Fluids Engineering Summer Meeting collocated with 8th International Conference on Nanochannels, Microchannels, and Minichannels. ASMEDC, 2010. http://dx.doi.org/10.1115/fedsm-icnmm2010-31097.

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The development of a direct-forcing immersed-boundary method for general flow applications is outlined in this paper. A cell-classification procedure based on a signed distance to the nearest surface is used to separate the computational domain into cells outside the immersed object (‘field cells’), cells outside but adjacent to the immersed object (‘band cells’), and cells within the immersed object (‘interior cells’). Interpolation methods based on laminar / turbulent boundary layer theory are used to prescribe the flow properties within the ‘band cells’. The method utilizes a decomposition of the velocity field near embedded surfaces into normal and tangential components, with the latter handled using power-law interpolations to mimic the energizing effects of turbulent boundary layers. A procedure for directly embedding sequences of stereo-lithography files as immersed objects in the computational is described, as are extensions of the methodology to compressible, turbulent flows. Described applications include human motion, moving aerodynamic surfaces, and shock / boundary layer interaction flow control.
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McIntyre, Sean, Michael Kinzel, Scott Miller, Eric Paterson, Jules Lindau, and Robert Kunz. "The Immersed Boundary Method for Water Entry Simulation." In 49th AIAA Aerospace Sciences Meeting including the New Horizons Forum and Aerospace Exposition. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2011. http://dx.doi.org/10.2514/6.2011-759.

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Reports on the topic "Immersed boundary method"

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Lundquist, Katherine Ann. Implementation of the Immersed Boundary Method in the Weather Research and Forecasting model. Office of Scientific and Technical Information (OSTI), January 2006. http://dx.doi.org/10.2172/900883.

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Arthur, Robert S., Katherine A. Lundquist, and Jingyi Bao. Evaluating the performance of the immersed boundary method within the grey zone for improved weather forecasts in the HRRR model. Office of Scientific and Technical Information (OSTI), December 2018. http://dx.doi.org/10.2172/1544937.

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England, William, and Jeffrey Allen. Thermal, microchannel, and immersed boundary extension validation for the Lattice-Boltzmann method : Report 2 in “discrete nano-scale mechanics and simulations” series. Information Technology Laboratory (U.S.), August 2017. http://dx.doi.org/10.21079/11681/22863.

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Lundquist, K. A. Immersed Boundary Methods for High-Resolution Simulation of Atmospheric Boundary-Layer Flow Over Complex Terrain. Office of Scientific and Technical Information (OSTI), May 2010. http://dx.doi.org/10.2172/1097228.

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Edwards, Jack R. Hybrid LES/RANS Simulation of the Effects of Boundary Layer Control Devices Using Immersed Boundary Methods. Fort Belvoir, VA: Defense Technical Information Center, February 2010. http://dx.doi.org/10.21236/ada547418.

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