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Journal articles on the topic 'Unstructured immersed boundary method'

Author: Grafiati

Published: 4 June 2021

Last updated: 15 February 2022

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1

Abalakin, I. V., A. P. Duben, N. S. Zhdanova, T. K. Kozubskaya, and L. N. Kudryavtseva. "Immersed Boundary Method on Deformable Unstructured Meshes for Airfoil Aeroacoustic Simulation." Computational Mathematics and Mathematical Physics 59, no. 12 (2019): 1982–93. http://dx.doi.org/10.1134/s0965542519120029.

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2

Abalakin, I. V., N. S. Zhdanova, and S. A. Soukov. "Reconstruction of body geometry on unstructured meshes by the immersed boundary method." Mathematical Models and Computer Simulations 9, no. 1 (2017): 83–91. http://dx.doi.org/10.1134/s2070048217010033.

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3

Ming, Ping-jian, Yang-zhe Sun, Wen-yang Duan, and Wen-ping Zhang. "Unstructured grid immersed boundary method for numerical simulation of fluid structure interaction." Journal of Marine Science and Application 9, no. 2 (2010): 181–86. http://dx.doi.org/10.1007/s11804-010-9078-9.

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4

Ouro, Pablo, Luis Cea, Luis Ramírez, and Xesús Nogueira. "An immersed boundary method for unstructured meshes in depth averaged shallow water models." International Journal for Numerical Methods in Fluids 81, no. 11 (2015): 672–88. http://dx.doi.org/10.1002/fld.4201.

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5

Martins, Diogo M. C., Duarte M. S. Albuquerque, and José C. F. Pereira. "On the use of polyhedral unstructured grids with a moving immersed boundary method." Computers & Fluids 174 (September 2018): 78–88. http://dx.doi.org/10.1016/j.compfluid.2018.07.010.

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6

Zhang, Yang, and Chunhua Zhou. "Reduction of Numerical Oscillations in Simulating Moving-Boundary Problems by the Local DFD Method." Advances in Applied Mathematics and Mechanics 8, no. 1 (2015): 145–65. http://dx.doi.org/10.4208/aamm.2014.m590.

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AbstractIn this work, the hybrid solution reconstruction formulation proposed by Luo et al. [H. Luo, H. Dai, P. F. de Sousa and B. Yin, On the numerical oscillation of the direct-forcing immersed-boundary method for moving boundaries, Computers & Fluids, 56 (2012), pp. 61–76] for the finite-difference discretization on Cartesian meshes is implemented in the finite-element framework of the local domain-free discretization (DFD) method to reduce the numerical oscillations in the simulation of moving-boundary flows. The reconstruction formulation is applied at fluid nodes in the immediate vicinity of the immersed boundary, which combines weightly the local DFD solution with the specific values obtained via an approximation of quadratic polynomial in the normal direction to the wall. The quadratic approximation is associated with the no-slip boundary condition and the local simplified momentum equation. The weighted factor suitable for unstructured triangular and tetrahedral meshes is constructed, which is related to the local mesh intervals near the immersed boundary and the distances from exterior dependent nodes to the boundary. Therefore, the reconstructed solution can account for the smooth movement of the immersed boundary. Several numerical experiments have been conducted for two- and three-dimensional moving-boundary flows. It is shown that the hybrid reconstruction approach can work well in the finite-element context and effectively reduce the numerical oscillations with little additional computational cost, and the spatial accuracy of the original local DFD method can also be preserved.

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7

Abalakin, I. V., N. S. Zhdanova, and T. K. Kozubskaya. "Immersed boundary method implemented for the simulation of an external flow on unstructured meshes." Mathematical Models and Computer Simulations 8, no. 3 (2016): 219–30. http://dx.doi.org/10.1134/s2070048216030029.

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8

Pan, Dartzi. "An Immersed Boundary Method on Unstructured Cartesian Meshes for Incompressible Flows with Heat Transfer." Numerical Heat Transfer, Part B: Fundamentals 49, no. 3 (2006): 277–97. http://dx.doi.org/10.1080/10407790500290709.

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9

Angelidis, Dionysios, Saurabh Chawdhary, and Fotis Sotiropoulos. "Unstructured Cartesian refinement with sharp interface immersed boundary method for 3D unsteady incompressible flows." Journal of Computational Physics 325 (November 2016): 272–300. http://dx.doi.org/10.1016/j.jcp.2016.08.028.

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10

Denaro, F. M., and F. Sarghini. "2-D transmitral flows simulation by means of the immersed boundary method on unstructured grids." International Journal for Numerical Methods in Fluids 38, no. 12 (2002): 1133–58. http://dx.doi.org/10.1002/fld.278.

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11

Ye, Haixuan, Yang Chen, and Kevin Maki. "A Discrete-Forcing Immersed Boundary Method for Moving Bodies in Air–Water Two-Phase Flows." Journal of Marine Science and Engineering 8, no. 10 (2020): 809. http://dx.doi.org/10.3390/jmse8100809.

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For numerical simulations of ship and offshore hydrodynamic problems, it is challenging to model the interaction between the free surface and moving complex geometries. This paper proposes a discrete-forcing immersed boundary method (IBM) to efficiently simulate moving solid boundaries in incompressible air–water two-phase flows. In the present work, the air–water two-phase flows are modeled using the Volume-of-Fluid (VoF) method. The present IBM is suitable for unstructured meshes. It can be used combined with body-fitted wall boundaries to model the relative motions between solid walls, which makes it flexible to use in practical applications. A field extension method is used to model the interaction between the air–water interface and the immersed boundaries. The accuracy of the method is demonstrated through validation cases, including the three-dimensional dam-break problem with an obstacle, the water exit of a circular cylinder, and a ship model advancing with a rotating semi-balanced rudder. The flow field, free-surface profile and force on the immersed boundaries (IBs) are in good agreement with experimental data and other numerical results.

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12

SALEEL, C. A., A. SHAIJA, and S. JAYARAJ. "COMPUTATIONAL SIMULATION OF FLUID FLOW OVER A TRIANGULAR STEP USING IMMERSED BOUNDARY METHOD." International Journal of Computational Methods 10, no. 04 (2013): 1350016. http://dx.doi.org/10.1142/s0219876213500163.

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Handling of complex geometries with fluid–solid interaction has been one of the exigent issues in computational fluid dynamics (CFD) because most engineering problems have complex geometries with fluid–solid interaction for the purpose. Two different approaches have been developed for the same hitherto: (i) The unstructured grid method and (ii) the immersed boundary method (IBM). This paper details the IBM for the numerical investigation of two-dimensional laminar flow over a backward facing step and various geometrically configured triangular steps in hydro-dynamically developing regions (entrance region) as well in the hydro-dynamically developed regions through a channel at different Reynolds numbers. The present numerical method is rooted in a finite volume approach on a staggered grid in concert with a fractional step method. Geometrical obstructions are treated as an immersed boundary (IB), both momentum forcing and mass source terms are applied on the obstruction to satisfy the no-slip boundary condition and also to satisfy the continuity for the mesh containing the immersed boundary. Initially, numerically obtained velocity profiles and stream line plots for fluid flow over backward facing step is depicted to show its excellent agreement with the published results in various literatures. There after profiles and plots in the channel with triangular steps are also being unveiled with in depth elucidation. Results are presented for different Reynolds numbers.

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13

Abgrall, R., H. Beaugendre, and C. Dobrzynski. "An immersed boundary method using unstructured anisotropic mesh adaptation combined with level-sets and penalization techniques." Journal of Computational Physics 257 (January 2014): 83–101. http://dx.doi.org/10.1016/j.jcp.2013.08.052.

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14

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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15

Cai, Shang-Gui, Abdellatif Ouahsine, Julien Favier, and Yannick Hoarau. "Moving immersed boundary method." International Journal for Numerical Methods in Fluids 85, no. 5 (2017): 288–323. http://dx.doi.org/10.1002/fld.4382.

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16

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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17

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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18

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

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19

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 (2016): 79–141. http://dx.doi.org/10.2140/camcos.2016.11.79.

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20

Lee, Wanho, and Seunggyu Lee. "Immersed Boundary Method for Simulating Interfacial Problems." Mathematics 8, no. 11 (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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21

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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22

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

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23

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

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24

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

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25

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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26

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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27

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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28

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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29

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 (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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30

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

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31

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 (2010): 152–67. http://dx.doi.org/10.1016/j.compfluid.2009.07.011.

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32

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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33

Chen, Wei Dong, Yan Chun Yu, Xian De Wu, Jian Cao Li, Ping Jia, and Feng Chao Zhang. "Application of Unstructured Finite Volume Method in Structural Static Mechanics." Key Engineering Materials 572 (September 2013): 273–76. http://dx.doi.org/10.4028/www.scientific.net/kem.572.273.

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Unstructured finite volume method applied in structural static mechanics has been discussed to direct at the difficulty of dealing with irregular boundary, unstructured triangle elements have been used in computational domain, the basic equations of unstructured finite volume method applied in structural static mechanics has been deduced. Comparing the unstructured grids with the structured grids, the former has obvious advantage on dealing with irregular boundary by theoretical analysis. According to examples analysis, the comparison of numeric results with analytic solutions and FEM solutions showed the effectiveness of the unstructured finite volume method.

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34

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 (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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35

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

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36

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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37

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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38

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

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39

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

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40

Dillon, Robert, Lisa Fauci, Aaron Fogelson, and Donald Gaver III. "Modeling Biofilm Processes Using the Immersed Boundary Method." Journal of Computational Physics 129, no. 1 (1996): 57–73. http://dx.doi.org/10.1006/jcph.1996.0233.

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41

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 (2017): e2888. http://dx.doi.org/10.1002/cnm.2888.

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42

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 (2011): 609–24. http://dx.doi.org/10.1002/fld.2199.

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43

Pekardan, Cem, Sruti Chigullapalli, Lin Sun, and Alina Alexeenko. "Immersed boundary method for unsteady kinetic model equations." International Journal for Numerical Methods in Fluids 80, no. 8 (2015): 453–75. http://dx.doi.org/10.1002/fld.4085.

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44

Choung, Hanahchim, Vignesh Saravanan, and Soogab Lee. "Jump‐reduced immersed boundary method for compressible flow." International Journal for Numerical Methods in Fluids 92, no. 9 (2020): 1135–61. http://dx.doi.org/10.1002/fld.4821.

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45

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

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46

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 (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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47

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

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48

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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49

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 (2006): 693–702. http://dx.doi.org/10.1016/j.compfluid.2006.01.004.

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50

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

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