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Journal articles on the topic 'Immersed boundary method'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 March 2025

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1

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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2

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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3

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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4

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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5

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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6

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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7

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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8

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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9

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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10

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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11

Cao, Teng, Paul Hield, and Paul G. Tucker. "Hierarchical Immersed Boundary Method with Smeared Geometry." Journal of Propulsion and Power 33, no. 5 (September 2017): 1151–63. http://dx.doi.org/10.2514/1.b36190.

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12

Kallemov, Bakytzhan, Amneet Bhalla, Boyce Griffith, and Aleksandar Donev. "An immersed boundary method for rigid bodies." Communications in Applied Mathematics and Computational Science 11, no. 1 (February 29, 2016): 79–141. http://dx.doi.org/10.2140/camcos.2016.11.79.

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13

Lee, Wanho, and Seunggyu Lee. "Immersed Boundary Method for Simulating Interfacial Problems." Mathematics 8, no. 11 (November 6, 2020): 1982. http://dx.doi.org/10.3390/math8111982.

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We review the immersed boundary (IB) method in order to investigate the fluid-structure interaction problems governed by the Navier–Stokes equation. The configuration is described by the Lagrangian variables, and the velocity and pressure of the fluid are defined in Cartesian coordinates. The interaction between two different coordinates is involved in a discrete Dirac-delta function. We describe the IB method and its numerical implementation. Standard numerical simulations are performed in order to show the effect of the parameters and discrete Dirac-delta functions. Simulations of flow around a cylinder and movement of Caenorhabditis elegans are introduced as rigid and flexible boundary problems, respectively. Furthermore, we provide the MATLAB codes for our simulation.

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14

Jang, Juwon, and Changhoon Lee. "An immersed boundary method for nonuniform grids." Journal of Computational Physics 341 (July 2017): 1–12. http://dx.doi.org/10.1016/j.jcp.2017.04.014.

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15

Fai, Thomas G., and Chris H. Rycroft. "Lubricated immersed boundary method in two dimensions." Journal of Computational Physics 356 (March 2018): 319–39. http://dx.doi.org/10.1016/j.jcp.2017.11.029.

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16

Ames, Jeff, Daniel F. Puleri, Peter Balogh, John Gounley, Erik W. Draeger, and Amanda Randles. "Multi-GPU immersed boundary method hemodynamics simulations." Journal of Computational Science 44 (July 2020): 101153. http://dx.doi.org/10.1016/j.jocs.2020.101153.

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17

Taira, Kunihiko, and Tim Colonius. "The immersed boundary method: A projection approach." Journal of Computational Physics 225, no. 2 (August 2007): 2118–37. http://dx.doi.org/10.1016/j.jcp.2007.03.005.

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18

Atzberger, Paul J., Peter R. Kramer, and Charles S. Peskin. "Stochastic immersed boundary method incorporating thermal fluctuations." PAMM 7, no. 1 (December 2007): 1121401–2. http://dx.doi.org/10.1002/pamm.200700197.

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19

Lew, Adrián J., and Gustavo C. Buscaglia. "A discontinuous-Galerkin-based immersed boundary method." International Journal for Numerical Methods in Engineering 76, no. 4 (October 22, 2008): 427–54. http://dx.doi.org/10.1002/nme.2312.

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20

GRIFFITH, BOYCE E., XIAOYU LUO, DAVID M. McQUEEN, and CHARLES S. PESKIN. "SIMULATING THE FLUID DYNAMICS OF NATURAL AND PROSTHETIC HEART VALVES USING THE IMMERSED BOUNDARY METHOD." International Journal of Applied Mechanics 01, no. 01 (March 2009): 137–77. http://dx.doi.org/10.1142/s1758825109000113.

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The immersed boundary method is both a general mathematical framework and a particular numerical approach to problems of fluid-structure interaction. In the present work, we describe the application of the immersed boundary method to the simulation of the fluid dynamics of heart valves, including a model of a natural aortic valve and a model of a chorded prosthetic mitral valve. Each valve is mounted in a semi-rigid flow chamber. In the case of the mitral valve, the flow chamber is a circular pipe, and in the case of the aortic valve, the flow chamber is a model of the aortic root. The model valves and flow chambers are immersed in a viscous incompressible fluid, and realistic fluid boundary conditions are prescribed at the upstream and downstream ends of the chambers. To connect the immersed boundary models to the boundaries of the fluid domain, we introduce a novel modification of the standard immersed boundary scheme. In particular, near the outer boundaries of the fluid domain, we modify the construction of the regularized delta function which mediates fluid-structure coupling in the immersed boundary method, whereas in the interior of the fluid domain, we employ a standard four-point delta function which is frequently used with the immersed boundary method. The standard delta function is used wherever possible, and the modified delta function continuously transitions to the standard delta function away from the outer boundaries of the fluid domain. Three-dimensional computational results are presented to demonstrate the capabilities of our immersed boundary approach to simulating the fluid dynamics of heart valves.

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21

Bilbao, Stefan. "Modeling impedance boundary conditions and acoustic barriers using the immersed boundary method: The one-dimensional case." Journal of the Acoustical Society of America 153, no. 4 (April 2023): 2023–36. http://dx.doi.org/10.1121/10.0017763.

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Immersed boundary methods are heavily used in computational fluid dynamics, as an alternative to volumetric meshing, when a problem contains irregular geometric features. In wave-based architectural and room acoustics, the dynamics are simplified, but boundary conditions and acoustic barriers are usually described in terms of frequency-dependent impedance and transmittance functions. In this article, a formulation of the immersed boundary method is developed in the informative special case of one-dimensional linear acoustics. It relies on dual driving terms applied to the conservation of mass and momentum equations separately and is directly tunable against boundary impedances and barrier transmittances. It is shown how the driving terms may be combined to model either an impermeable frequency-dependent boundary condition or a barrier with a given transmittance. An explicit time-domain numerical method of finite-difference time-domain type is presented, and it is shown how the immersed boundary condition may be included, at minimal additional computational cost. Special attention is paid to the discrete approximation of the Dirac delta function, necessary in immersed boundary methods, as well as the discretisation strategy for frequency-dependent boundary and barrier conditions. Numerical results are presented. A complete derivation of numerical stability conditions for this immersed boundary method appears in an appendix.

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22

FUJII, Takehiro, Takeshi OMORI, and Takeo KAJISHIMA. "The immersed boundary projection method for the slip boundary condition." Proceedings of the Fluids engineering conference 2020 (2020): OS06–13. http://dx.doi.org/10.1299/jsmefed.2020.os06-13.

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23

Liao, Chuan-Chieh, Yu-Wei Chang, Chao-An Lin, and J. M. McDonough. "Simulating flows with moving rigid boundary using immersed-boundary method." Computers & Fluids 39, no. 1 (January 2010): 152–67. http://dx.doi.org/10.1016/j.compfluid.2009.07.011.

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24

Kim, Yongsam, and Charles S. Peskin. "Penalty immersed boundary method for an elastic boundary with mass." Physics of Fluids 19, no. 5 (May 2007): 053103. http://dx.doi.org/10.1063/1.2734674.

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25

Strychalski, Wanda, and Robert D. Guy. "Viscoelastic Immersed Boundary Methods for Zero Reynolds Number Flow." Communications in Computational Physics 12, no. 2 (August 2012): 462–78. http://dx.doi.org/10.4208/cicp.050211.090811s.

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AbstractThe immersed boundary method has been extensively used to simulate the motion of elastic structures immersed in a viscous fluid. For some applications, such as modeling biological materials, capturing internal boundary viscosity is important. We present numerical methods for simulating Kelvin-Voigt and standard linear viscoelastic structures immersed in zero Reynolds number flow. We find that the explicit time immersed boundary update is unconditionally unstable above a critical boundary to fluid viscosity ratio for a Kelvin-Voigt material. We also show there is a severe time step restriction when simulating a standard linear boundary with a small relaxation time scale using the same explicit update. A stable implicit method is presented to overcome these computation challenges.

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26

Kim, G. H., and S. O. Park. "IMPLEMENTATION OF IMMERSED BOUNDARY METHOD TO INCOMPRESSIBLE NAVIER-STOKES SOLVER USING SIMPLE ALGORITHM." Journal of computational fluids engineering 17, no. 1 (March 31, 2012): 44–53. http://dx.doi.org/10.6112/kscfe.2012.17.1.044.

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27

Wu, Y. L., C. Shu, and H. Ding. "Simulation of Incompressible Viscous Flows by Local DFD-Immersed Boundary Method." Advances in Applied Mathematics and Mechanics 4, no. 03 (June 2012): 311–24. http://dx.doi.org/10.4208/aamm.10-m1171.

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AbstractA local domain-free discretization-immersed boundary method (DFD-IBM) is presented in this paper to solve incompressible Navier-Stokes equations in the primitive variable form. Like the conventional immersed boundary method (IBM), the local DFD-IBM solves the governing equations in the whole domain including exterior and interior of the immersed object. The effect of immersed boundary to the surrounding fluids is through the evaluation of velocity at interior and exterior dependent points. To be specific, the velocity at interior dependent points is computed by approximate forms of solution and the velocity at exterior dependent points is set to the wall velocity. As compared to the conventional IBM, the present approach accurately implements the non-slip boundary condition. As a result, there is no flow penetration, which is often appeared in the conventional IBM results. The present approach is validated by its application to simulate incompressible viscous flows around a circular cylinder. The obtained numerical results agree very well with the data in the literature.

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28

Zhu, Chi, Haoxiang Luo, and Guibo Li. "High-Order Immersed-Boundary Method for Incompressible Flows." AIAA Journal 54, no. 9 (September 2016): 2734–41. http://dx.doi.org/10.2514/1.j054628.

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29

De Marinis, Dario, Marco Donato de Tullio, Michele Napolitano, and Giuseppe Pascazio. "Improving a conjugate-heat-transfer immersed-boundary method." International Journal of Numerical Methods for Heat & Fluid Flow 26, no. 3/4 (May 3, 2016): 1272–88. http://dx.doi.org/10.1108/hff-11-2015-0473.

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Purpose – The purpose of this paper is to provide the current state of the art in the development of a computer code combining an immersed boundary method with a conjugate heat transfer (CHT) approach, including some new findings. In particular, various treatments of the fluid-solid-interface conditions are compared in order to determine the most accurate one. Most importantly, the method is capable of computing a challenging three dimensional compressible turbulent flow past an air cooled turbine vane. Design/methodology/approach – The unsteady Reynolds-averaged Navier–Stokes (URANS) equations are solved within the fluid domain, whereas the heat conduction equation is solved within the solid one, using the same spatial discretization and time-marching scheme. At the interface boundary, the temperatures and heat fluxes within the fluid and the solid are set to be equal using three different approximations. Findings – This work provides an accurate and efficient code for solving three dimensional CHT problems, such as the flow through an air cooled gas turbine cascade, using a coupled immersed boundary (IB) CHT methodology. A one-to-one comparison of three different interface-condition approximations has shown that the two multidimensional ones are slightly superior to the early treatment based on a single direction and that the one based on a least square reconstruction of the solution near the IB minimizes the oscillations caused by the Cartesian grid. This last reconstruction is then used to compute a compressible turbulent flow of industrial interest, namely, that through an air cooled gas turbine cascade. Another interesting finding is that the very promising approach based on wall functions does not combine favourably with the interface conditions for the temperature and the heat flux. Therefore, current and future work aims at developing and testing appropriate temperature wall functions, in order to further improve the accuracy – for a given grid – or the efficiency – for a given accuracy – of the proposed methodology. Originality/value – An accurate and efficient IB CHT method, using a state of the art URANS parallel solver, has been developed and tested. In particular, a detailed study has elucidated the influence of different interface treatments of the fluid-solid boundary upon the accuracy of the computations. Last but not least, the method has been applied with success to solve the well-known CHT problem of compressible turbulent flow past the C3X turbine guide vane.

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30

Kim, Yongsam, Joohee Lee, and Sookkyung Lim. "Nodal Flow Simulations by the Immersed Boundary Method." SIAM Journal on Applied Mathematics 74, no. 2 (January 2014): 263–83. http://dx.doi.org/10.1137/130925736.

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31

Cai, Shang-Gui, Abdellatif Ouahsine, Julien Favier, and Yannick Hoarau. "Implicit immersed boundary method for fluid-structure interaction." La Houille Blanche, no. 1 (February 2017): 33–36. http://dx.doi.org/10.1051/lhb/2017005.

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32

Givelberg, Edward. "A Weak Formulation of the Immersed Boundary Method." SIAM Journal on Scientific Computing 34, no. 2 (January 2012): A1010—A1026. http://dx.doi.org/10.1137/100785181.

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33

He, Yuelong, Dun Li, Shuai Liu, and Handong Ma. "An Immersed Boundary Method Based on Volume Fraction." Procedia Engineering 99 (2015): 677–85. http://dx.doi.org/10.1016/j.proeng.2014.12.589.

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34

Peton, Nicolas, and Nicolas Lardjane. "An immersed boundary method for geometrical shock dynamics." Journal of Computational Physics 417 (September 2020): 109573. http://dx.doi.org/10.1016/j.jcp.2020.109573.

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35

Ma, Yunfei, Jiahuan Cui, Nagabhushana Rao Vadlamani, and Paul Tucker. "Hierarchical geometry modelling using the immersed boundary method." Computer Methods in Applied Mechanics and Engineering 355 (October 2019): 323–48. http://dx.doi.org/10.1016/j.cma.2019.06.019.

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36

Krishnan, Navaneetha, Axelle Viré, Roland Schmehl, and Gerard van Bussel. "An immersed boundary method based on domain decomposition." Computers & Fluids 202 (April 2020): 104500. http://dx.doi.org/10.1016/j.compfluid.2020.104500.

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37

Choi, Jung-Il, Roshan C. Oberoi, Jack R. Edwards, and Jacky A. Rosati. "An immersed boundary method for complex incompressible flows." Journal of Computational Physics 224, no. 2 (June 2007): 757–84. http://dx.doi.org/10.1016/j.jcp.2006.10.032.

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38

De Palma, P., M. D. de Tullio, G. Pascazio, and M. Napolitano. "An immersed-boundary method for compressible viscous flows." Computers & Fluids 35, no. 7 (August 2006): 693–702. http://dx.doi.org/10.1016/j.compfluid.2006.01.004.

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39

Roman, F., E. Napoli, B. Milici, and V. Armenio. "An improved immersed boundary method for curvilinear grids." Computers & Fluids 38, no. 8 (September 2009): 1510–27. http://dx.doi.org/10.1016/j.compfluid.2008.12.004.

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40

Yakhot, Alexander, Leopold Grinberg, and Nikolai Nikitin. "Modeling rough stenoses by an immersed-boundary method." Journal of Biomechanics 38, no. 5 (May 2005): 1115–27. http://dx.doi.org/10.1016/j.jbiomech.2004.05.024.

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41

Krishnan, Anush, Olivier Mesnard, and Lorena A. Barba. "cuIBM: a GPU-based immersed boundary method code." Journal of Open Source Software 2, no. 15 (July 21, 2017): 301. http://dx.doi.org/10.21105/joss.00301.

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42

Majda, Andrew J., and Peter R. Kramer. "Stochastic Mode Reduction for the Immersed Boundary Method." SIAM Journal on Applied Mathematics 64, no. 2 (January 2004): 369–400. http://dx.doi.org/10.1137/s0036139903422139.

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43

Du, Jian, Robert D. Guy, and Aaron L. Fogelson. "An immersed boundary method for two-fluid mixtures." Journal of Computational Physics 262 (April 2014): 231–43. http://dx.doi.org/10.1016/j.jcp.2014.01.008.

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44

Wang, Xiaodong, and Wing Kam Liu. "Extended immersed boundary method using FEM and RKPM." Computer Methods in Applied Mechanics and Engineering 193, no. 12-14 (March 2004): 1305–21. http://dx.doi.org/10.1016/j.cma.2003.12.024.

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45

Nishida, Hidetoshi, Souichi Kohashi, and Mitsuru Tanaka. "Construction of seamless immersed boundary phase-field method." Computers & Fluids 164 (March 2018): 41–49. http://dx.doi.org/10.1016/j.compfluid.2017.03.011.

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46

Bale, Rahul, Neelesh A. Patankar, Niclas Jansson, Keiji Onishi, and Makoto Tsubokura. "Stencil Penalty approach based constraint immersed boundary method." Computers & Fluids 200 (March 2020): 104457. http://dx.doi.org/10.1016/j.compfluid.2020.104457.

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47

Ferreira de Sousa, Paulo J. S. A., José C. F. Pereira, and James J. Allen. "Two-dimensional compact finite difference immersed boundary method." International Journal for Numerical Methods in Fluids 65, no. 6 (January 18, 2011): 609–24. http://dx.doi.org/10.1002/fld.2199.

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48

E. Griffith, Boyce, and Xiaoyu Luo. "Hybrid finite difference/finite element immersed boundary method." International Journal for Numerical Methods in Biomedical Engineering 33, no. 12 (August 16, 2017): e2888. http://dx.doi.org/10.1002/cnm.2888.

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49

Roma, Alexandre M., Charles S. Peskin, and Marsha J. Berger. "An Adaptive Version of the Immersed Boundary Method." Journal of Computational Physics 153, no. 2 (August 1999): 509–34. http://dx.doi.org/10.1006/jcph.1999.6293.

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50

Cortez, R., and M. Minion. "The Blob Projection Method for Immersed Boundary Problems." Journal of Computational Physics 161, no. 2 (July 2000): 428–53. http://dx.doi.org/10.1006/jcph.2000.6502.

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