Numerical simulation of 3D fluid–structure interaction flow using an immersed object method with overlapping grids
The newly developed immersed object method (IOM) [Tai CH, Zhao Y, Liew KM. Parallel computation of unsteady incompressible viscous flows around moving rigid bodies using an immersed object method with overlapping grids. J Comput Phys 2005; 207(1): 151–72] is extended for 3D unsteady flow simulation...
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| Vydané v: | Computers & structures Ročník 85; číslo 11; s. 749 - 762 |
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| Jazyk: | English |
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01.06.2007
Elsevier Science |
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| ISSN: | 0045-7949, 1879-2243 |
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| Abstract | The newly developed immersed object method (IOM) [Tai CH, Zhao Y, Liew KM. Parallel computation of unsteady incompressible viscous flows around moving rigid bodies using an immersed object method with overlapping grids. J Comput Phys 2005; 207(1): 151–72] is extended for 3D unsteady flow simulation with fluid–structure interaction (FSI), which is made possible by combining it with a parallel unstructured multigrid Navier–Stokes solver using a matrix-free implicit dual time stepping and finite volume method [Tai CH, Zhao Y, Liew KM. Parallel computation of unsteady three-dimensional incompressible viscous flow using an unstructured multigrid method. In: The second M.I.T. conference on computational fluid and solid mechanics, June 17–20, MIT, Cambridge, MA 02139, USA, 2003; Tai CH, Zhao Y, Liew KM. Parallel computation of unsteady three-dimensional incompressible viscous flow using an unstructured multigrid method, Special issue on “Preconditioning methods: algorithms, applications and software environments. Comput Struct 2004; 82(28): 2425–36]. This uniquely combined method is then employed to perform detailed study of 3D unsteady flows with complex FSI. In the IOM, a body force term
F is introduced into the momentum equations during the artificial compressibility (AC) sub-iterations so that a desired velocity distribution
V
0 can be obtained on and within the object boundary, which needs not coincide with the grid, by adopting the direct forcing method. An object mesh is immersed into the flow domain to define the boundary of the object. The advantage of this is that bodies of almost arbitrary shapes can be added without grid restructuring, a procedure which is often time-consuming and computationally expensive. It has enabled us to perform complex and detailed 3D unsteady blood flow and blood–leaflets interaction in a mechanical heart valve (MHV) under physiological conditions. |
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| AbstractList | The newly developed immersed object method (IOM) [Tai CH, Zhao Y, Liew KM. Parallel computation of unsteady incompressible viscous flows around moving rigid bodies using an immersed object method with overlapping grids. J Comput Phys 2005; 207(1): 151-72] is extended for 3D unsteady flow simulation with fluid-structure interaction (FSI), which is made possible by combining it with a parallel unstructured multigrid Navier-Stokes solver using a matrix-free implicit dual time stepping and finite volume method [Tai CH, Zhao Y, Liew KM. Parallel computation of unsteady three-dimensional incompressible viscous flow using an unstructured multigrid method. In: The second M.I.T. conference on computational fluid and solid mechanics, June 17-20, MIT, Cambridge, MA 02139, USA, 2003; Tai CH, Zhao Y, Liew KM. Parallel computation of unsteady three-dimensional incompressible viscous flow using an unstructured multigrid method, Special issue on 'Preconditioning methods: algorithms, applications and software environments. Comput Struct 2004; 82(28): 2425-36]. This uniquely combined method is then employed to perform detailed study of 3D unsteady flows with complex FSI. In the IOM, a body force term F is introduced into the momentum equations during the artificial compressibility (AC) sub-iterations so that a desired velocity distribution V0 can be obtained on and within the object boundary, which needs not coincide with the grid, by adopting the direct forcing method. An object mesh is immersed into the flow domain to define the boundary of the object. The advantage of this is that bodies of almost arbitrary shapes can be added without grid restructuring, a procedure which is often time-consuming and computationally expensive. It has enabled us to perform complex and detailed 3D unsteady blood flow and blood-leaflets interaction in a mechanical heart valve (MHV) under physiological conditions. The newly developed immersed object method (IOM) [Tai CH, Zhao Y, Liew KM. Parallel computation of unsteady incompressible viscous flows around moving rigid bodies using an immersed object method with overlapping grids. J Comput Phys 2005; 207(1): 151–72] is extended for 3D unsteady flow simulation with fluid–structure interaction (FSI), which is made possible by combining it with a parallel unstructured multigrid Navier–Stokes solver using a matrix-free implicit dual time stepping and finite volume method [Tai CH, Zhao Y, Liew KM. Parallel computation of unsteady three-dimensional incompressible viscous flow using an unstructured multigrid method. In: The second M.I.T. conference on computational fluid and solid mechanics, June 17–20, MIT, Cambridge, MA 02139, USA, 2003; Tai CH, Zhao Y, Liew KM. Parallel computation of unsteady three-dimensional incompressible viscous flow using an unstructured multigrid method, Special issue on “Preconditioning methods: algorithms, applications and software environments. Comput Struct 2004; 82(28): 2425–36]. This uniquely combined method is then employed to perform detailed study of 3D unsteady flows with complex FSI. In the IOM, a body force term F is introduced into the momentum equations during the artificial compressibility (AC) sub-iterations so that a desired velocity distribution V 0 can be obtained on and within the object boundary, which needs not coincide with the grid, by adopting the direct forcing method. An object mesh is immersed into the flow domain to define the boundary of the object. The advantage of this is that bodies of almost arbitrary shapes can be added without grid restructuring, a procedure which is often time-consuming and computationally expensive. It has enabled us to perform complex and detailed 3D unsteady blood flow and blood–leaflets interaction in a mechanical heart valve (MHV) under physiological conditions. |
| Author | Liew, K.M. Tai, C.H. Zhao, Y. |
| Author_xml | – sequence: 1 givenname: C.H. surname: Tai fullname: Tai, C.H. organization: DSO National Laboratories, 20 Science Park Drive, Singapore 118230, Singapore – sequence: 2 givenname: K.M. surname: Liew fullname: Liew, K.M. email: kmliew@cityu.edu.hk organization: Department of Building and Construction, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong – sequence: 3 givenname: Y. surname: Zhao fullname: Zhao, Y. organization: School of Mechanical and Aerospace Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore 639798, Singapore |
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| Cites_doi | 10.1016/0021-9991(72)90065-4 10.2514/2.1470 10.1016/B978-008044046-0.50281-5 10.1016/j.cma.2004.09.010 10.1016/S0021-9290(00)00068-3 10.1114/1.1603750 10.1016/j.jcp.2003.07.005 10.1002/nme.959 10.1016/0045-7825(94)90135-X 10.1002/1097-0363(20010415)35:7<743::AID-FLD109>3.0.CO;2-A 10.1016/j.compstruc.2004.04.014 10.1016/j.jcp.2005.01.011 10.1016/0045-7825(94)90022-1 |
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| Keywords | Fluid–structure interaction Immersed object method Matrix-free implicit method Overlapping grids 3D unsteady incompressible flows Unstructured parallel-multigrid computation Mechanical heart valves Body force Compressibility Viscous fluid Grid Finite volume method Fluid structure interaction Heart valve Modeling Navier Stokes equation Multigrid Rigid bodies Human Parallel algorithm Immersed body Vibration Step method Momentum Unsteady flow Fluid-structure interaction Incompressible flow Three dimensional flow Parallel computation Incompressible fluid Hemodynamics Preconditioning Moving body Turbulence structure Structural analysis Viscous flow |
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| References | Baaijens (bib5) 2001; 35 Shi, Zhao, Yeo, Hwang (bib15) 2003; 12 Rugonyi, Bathe (bib12) 2001; 2 Tai, Zhao, Liew (bib3) 2004; 82 Glowinski, Pan, Periaux (bib17) 1994; 111 Tai CH, Zhao Y, Liew KM. Parallel computation of unsteady three-dimensional incompressible viscous flow using an unstructured multigrid method. In: The second M.I.T. conference on computational fluid and solid mechanics, June 17–20, MIT, Cambridge, MA 02139, USA; 2003. De Hart, Peters, Schreurs, Baaijens (bib6) 2000; 33 Tai, Zhao, Liew (bib1) 2005; 207 . Zhao, Tai (bib7) 2001; 39 Tai, Zhao (bib13) 2003; 192 Karypis G, Metis KV: A software package for partitioning unstructured graphs, partitioning meshes, and computing fill-reducing orderings of sparse matrices, Version 4.0, University of Minnesota, Department of Computer Science, September; 1998. Peskin CS, Flow patterns around heart valves: a digital computer method for solving the equation of motion. PhD Thesis, Albert Einstein College of Medicine, Yeshiva University; 1972. Glowinski, Pan, Periaux (bib18) 1994; 112 St. Jude Medical Artificial Heart Valve, Cardiac Peacemakers and Other Medical Devices Home Page. Bathe, Zhang (bib11) 2004; 60 Myers, Porter (bib16) 2003; 31 Gropp, Lusk, Skjellum (bib8) 1994 Tai, Zhao, Liew (bib14) 2005; 194 Tai (10.1016/j.compstruc.2007.01.021_bib3) 2004; 82 Glowinski (10.1016/j.compstruc.2007.01.021_bib17) 1994; 111 Tai (10.1016/j.compstruc.2007.01.021_bib14) 2005; 194 10.1016/j.compstruc.2007.01.021_bib2 10.1016/j.compstruc.2007.01.021_bib4 Gropp (10.1016/j.compstruc.2007.01.021_bib8) 1994 Shi (10.1016/j.compstruc.2007.01.021_bib15) 2003; 12 Glowinski (10.1016/j.compstruc.2007.01.021_bib18) 1994; 112 Rugonyi (10.1016/j.compstruc.2007.01.021_bib12) 2001; 2 Tai (10.1016/j.compstruc.2007.01.021_bib13) 2003; 192 Bathe (10.1016/j.compstruc.2007.01.021_bib11) 2004; 60 10.1016/j.compstruc.2007.01.021_bib10 De Hart (10.1016/j.compstruc.2007.01.021_bib6) 2000; 33 10.1016/j.compstruc.2007.01.021_bib9 Myers (10.1016/j.compstruc.2007.01.021_bib16) 2003; 31 Tai (10.1016/j.compstruc.2007.01.021_bib1) 2005; 207 Baaijens (10.1016/j.compstruc.2007.01.021_bib5) 2001; 35 Zhao (10.1016/j.compstruc.2007.01.021_bib7) 2001; 39 |
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| SubjectTerms | 3D unsteady incompressible flows Biological and medical sciences Computational techniques Exact sciences and technology Fluid dynamics Fluid–structure interaction Fundamental and applied biological sciences. Psychology Fundamental areas of phenomenology (including applications) General theory Hemodynamics. Rheology Immersed object method Mathematical methods in physics Matrix-free implicit method Mechanical heart valves Overlapping grids Physics Solid mechanics Structural and continuum mechanics Unstructured parallel-multigrid computation Vertebrates: cardiovascular system Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...) |
| Title | Numerical simulation of 3D fluid–structure interaction flow using an immersed object method with overlapping grids |
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