메뉴 건너뛰기




Volumn 215, Issue 2, 2006, Pages 661-690

An efficient parallel/unstructured-multigrid preconditioned implicit method for simulating 3D unsteady compressible flows with moving objects

Author keywords

Finite volume scheme; Fluid structure interaction; Higher order TVD scheme; Immersed membrane method; Implicit dual time stepping scheme; Multigrid; Parallel; Preconditioning

Indexed keywords

AERODYNAMICS; COMPRESSIBLE FLOW; INCOMPRESSIBLE FLOW; MACH NUMBER;

EID: 33646095240     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2005.11.012     Document Type: Article
Times cited : (29)

References (54)
  • 1
    • 0030149024 scopus 로고    scopus 로고
    • A numerical simulation of unsteady flow in a two-dimensional collapsible channel
    • Luo X.Y., and Pedley T.J. A numerical simulation of unsteady flow in a two-dimensional collapsible channel. J. Fluid Mech. 314 (1996) 191-225
    • (1996) J. Fluid Mech. , vol.314 , pp. 191-225
    • Luo, X.Y.1    Pedley, T.J.2
  • 2
    • 0000760760 scopus 로고
    • Numerical simulation of steady flow in a 2-D Collapsible channel
    • Luo X.Y., and Pedley T.J. Numerical simulation of steady flow in a 2-D Collapsible channel. J. Fluids Struct. 9 (1995) 149-197
    • (1995) J. Fluids Struct. , vol.9 , pp. 149-197
    • Luo, X.Y.1    Pedley, T.J.2
  • 3
    • 0032075062 scopus 로고    scopus 로고
    • The effect of wall inertia on flow in a two-dimensional collapsible channel
    • Luo X.Y., and Pedley T.J. The effect of wall inertia on flow in a two-dimensional collapsible channel. J. Fluid Mech. 363 (1998) 253-280
    • (1998) J. Fluid Mech. , vol.363 , pp. 253-280
    • Luo, X.Y.1    Pedley, T.J.2
  • 4
    • 0141737463 scopus 로고    scopus 로고
    • A general method for simulation of fluid flows with moving and compliant boundaries using unstructured grids
    • Zhao Y., and Ahmed F. A general method for simulation of fluid flows with moving and compliant boundaries using unstructured grids. Comput. Methods Appl. Mech. Eng. 192/39-40 (2003) 4439-4466
    • (2003) Comput. Methods Appl. Mech. Eng. , vol.192 , Issue.39-40 , pp. 4439-4466
    • Zhao, Y.1    Ahmed, F.2
  • 5
    • 0035261978 scopus 로고    scopus 로고
    • Simulation of micro flows with moving boundaries using high-order upwind FV method on unstructured grids
    • Zhao Y., Tai C.H., and Ahmed F. Simulation of micro flows with moving boundaries using high-order upwind FV method on unstructured grids. Comput. Mech. 28 1 (2002) 66-75
    • (2002) Comput. Mech. , vol.28 , Issue.1 , pp. 66-75
    • Zhao, Y.1    Tai, C.H.2    Ahmed, F.3
  • 6
    • 0032033827 scopus 로고    scopus 로고
    • A dual-time method for two-dimensional unsteady incompressible flow calculations
    • Gaitonde A.L. A dual-time method for two-dimensional unsteady incompressible flow calculations. Int. J. Numer. Methods Eng. 41 (1998) 1153-1166
    • (1998) Int. J. Numer. Methods Eng. , vol.41 , pp. 1153-1166
    • Gaitonde, A.L.1
  • 7
    • 85189850050 scopus 로고    scopus 로고
    • A.L. Gaitonde, An artificial compressibility method for the solution of the 2D incompressible Navier-Stokes equations, Report no. 715, Aero. Eng. Dept., Bristol University, 1995.
  • 8
    • 0032874227 scopus 로고    scopus 로고
    • Analysis of fluid-structure interaction by an arbitrary lagrangian-eulerian finite element formulation
    • Mendes P.A., and Branco F.A. Analysis of fluid-structure interaction by an arbitrary lagrangian-eulerian finite element formulation. Int. J. Numer. Methods Fluids 30 (1999) 897-919
    • (1999) Int. J. Numer. Methods Fluids , vol.30 , pp. 897-919
    • Mendes, P.A.1    Branco, F.A.2
  • 10
    • 0032529171 scopus 로고    scopus 로고
    • Stokes flow in an elastic tube - A large-displacement fluid-structure interaction problem
    • Heil M. Stokes flow in an elastic tube - A large-displacement fluid-structure interaction problem. Int. J. Numer. Methods Fluids 28 (1998) 243-265
    • (1998) Int. J. Numer. Methods Fluids , vol.28 , pp. 243-265
    • Heil, M.1
  • 12
    • 85189848658 scopus 로고    scopus 로고
    • Peskin Charles Samuel, Flow patterns around heart valves: a digital computer method for solving the equations of motion, Ph.D Thesis, Albert Einstein College of Medicine, Yeshiva University, 1972.
  • 13
    • 0036646919 scopus 로고    scopus 로고
    • Simulation of a flapping flexible filament in a flowing soap film by the immersed boundary method
    • Zhu L., and Peskin C.S. Simulation of a flapping flexible filament in a flowing soap film by the immersed boundary method. J. Comput. Phys. 179 (2002) 452-468
    • (2002) J. Comput. Phys. , vol.179 , pp. 452-468
    • Zhu, L.1    Peskin, C.S.2
  • 14
    • 11644292072 scopus 로고
    • A vortex method for blood flow past heart valves
    • McCracken M.F., and Peskin C.S. A vortex method for blood flow past heart valves. J. Comput. Phys. 35 (1980) 183-205
    • (1980) J. Comput. Phys. , vol.35 , pp. 183-205
    • McCracken, M.F.1    Peskin, C.S.2
  • 15
    • 0001021844 scopus 로고
    • A mathematical model and numerical method for studying platelet adhesion and aggregation during blood clotting
    • Fogelson A.L. A mathematical model and numerical method for studying platelet adhesion and aggregation during blood clotting. J. Comput. Phys. 56 (1984) 111-134
    • (1984) J. Comput. Phys. , vol.56 , pp. 111-134
    • Fogelson, A.L.1
  • 16
    • 85189844115 scopus 로고    scopus 로고
    • A.L. Fogelson, Mathematical and computational aspects of blood clotting, in: Proceedings of the 11th IMACS World Congress on System Simulation and Scientific Computation, vol. 3, 5-8, North Holland, New York, 1985.
  • 17
    • 0001793756 scopus 로고    scopus 로고
    • Simulating the motion of flexible pulp fibres using the immersed boundary method
    • Stockie J.M., and Green S.I. Simulating the motion of flexible pulp fibres using the immersed boundary method. J. Comput. Phys. 147 (1998) 147-165
    • (1998) J. Comput. Phys. , vol.147 , pp. 147-165
    • Stockie, J.M.1    Green, S.I.2
  • 18
    • 0028333573 scopus 로고
    • A fictitious domain for dirichlet problems and applications
    • Glowinski R., et al. A fictitious domain for dirichlet problems and applications. Comput. Methods Appl. Mech. Eng. 111 (1994) 283-303
    • (1994) Comput. Methods Appl. Mech. Eng. , vol.111 , pp. 283-303
    • Glowinski, R.1
  • 19
    • 0028035577 scopus 로고
    • A fictitious domain for external incompressible viscous flow modeled by Navier-Stokes equations
    • Glowinski R., et al. A fictitious domain for external incompressible viscous flow modeled by Navier-Stokes equations. Comput. Methods Appl. Mech. Eng. 112 (1994) 133-148
    • (1994) Comput. Methods Appl. Mech. Eng. , vol.112 , pp. 133-148
    • Glowinski, R.1
  • 20
    • 85189849450 scopus 로고    scopus 로고
    • J. De Hart, Fluid-structure interaction in the aortic valve: a three-dimensional computational analysis, Ph.D. Thesis, Eindhoven University of Technology, 2002.
  • 21
    • 0035871878 scopus 로고    scopus 로고
    • A fictitious domain/mortar element method for fluid-structure interaction
    • Baaijens F.P.T. A fictitious domain/mortar element method for fluid-structure interaction. Int. J. Numer. Methods Fluids 35 7 (2001) 743-761
    • (2001) Int. J. Numer. Methods Fluids , vol.35 , Issue.7 , pp. 743-761
    • Baaijens, F.P.T.1
  • 22
    • 0034287025 scopus 로고    scopus 로고
    • A two-dimensional fluid-structure interaction model of the aortic valve
    • De Hart J., et al. A two-dimensional fluid-structure interaction model of the aortic valve. J. Biomech. 33 9 (2000) 1079-1088
    • (2000) J. Biomech. , vol.33 , Issue.9 , pp. 1079-1088
    • De Hart, J.1
  • 23
    • 0037212420 scopus 로고    scopus 로고
    • A three-dimensional computational analysis of fluid-structure interaction in the aortic valve
    • De Hart J., et al. A three-dimensional computational analysis of fluid-structure interaction in the aortic valve. J. Biomech. 36 (2003) 103-112
    • (2003) J. Biomech. , vol.36 , pp. 103-112
    • De Hart, J.1
  • 24
    • 85189851128 scopus 로고    scopus 로고
    • J. De Hart, Fluid-structure interaction in the aortic valve: a three-dimensional computational analysis, Ph.D. Thesis, Eindhoven University of Technology, 2002.
  • 25
    • 0001105507 scopus 로고    scopus 로고
    • A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: application to particulate flow
    • Glowinski R., et al. A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: application to particulate flow. J. Comput. Phys. 169 (2001) 363-426
    • (2001) J. Comput. Phys. , vol.169 , pp. 363-426
    • Glowinski, R.1
  • 26
    • 18344388817 scopus 로고    scopus 로고
    • A DLM/FD method for fluid/flexible-body interactions
    • Zhaosheng Yu. A DLM/FD method for fluid/flexible-body interactions. J. Comput. Phys. 207 (2005) 1-27
    • (2005) J. Comput. Phys. , vol.207 , pp. 1-27
    • Zhaosheng, Yu.1
  • 27
    • 18344389554 scopus 로고    scopus 로고
    • Parallel computation of unsteady incompressible viscous flows around moving rigid bodies using an immersed object method with overlapping grids
    • Tai C.H., Zhao Y., and Liew K.M. Parallel computation of unsteady incompressible viscous flows around moving rigid bodies using an immersed object method with overlapping grids. J. Comput. Phys. 207 20 July (2005) 151-172
    • (2005) J. Comput. Phys. , vol.207 , Issue.20 July , pp. 151-172
    • Tai, C.H.1    Zhao, Y.2    Liew, K.M.3
  • 28
    • 0002168745 scopus 로고    scopus 로고
    • Preconditioned multigrid methods for unsteady incompressible flows
    • Liu C., Zheng X., and Sung C.H. Preconditioned multigrid methods for unsteady incompressible flows. J. Comput. Phys. 139 (1998) 35-57
    • (1998) J. Comput. Phys. , vol.139 , pp. 35-57
    • Liu, C.1    Zheng, X.2    Sung, C.H.3
  • 29
    • 85189847786 scopus 로고    scopus 로고
    • P.T. Lin, Implicit time dependent calculations for compressible and incompressible flows on unstructured meshes, M.Sc. Thesis, Department of Mechanical and Aerospace Engineering, Princeton University, 1994.
  • 30
    • 4143137638 scopus 로고    scopus 로고
    • A finite volume unstructured multigrid method for efficient computation of unsteady incompressible viscous flows
    • Tai C.H., and Zhao Y. A finite volume unstructured multigrid method for efficient computation of unsteady incompressible viscous flows. Int. J. Numer. Methods Fluids 46 1 (2004) 59-84
    • (2004) Int. J. Numer. Methods Fluids , vol.46 , Issue.1 , pp. 59-84
    • Tai, C.H.1    Zhao, Y.2
  • 31
    • 0242465720 scopus 로고    scopus 로고
    • A high-order characteristics upwind fv method for incompressible flow and heat transfer simulation on unstructured grids
    • Zhao Y., and Zhang B.L. A high-order characteristics upwind fv method for incompressible flow and heat transfer simulation on unstructured grids. Comput. Methods Appl. Mech. Eng. 25 6 (2001) 523-536
    • (2001) Comput. Methods Appl. Mech. Eng. , vol.25 , Issue.6 , pp. 523-536
    • Zhao, Y.1    Zhang, B.L.2
  • 32
    • 85189844869 scopus 로고    scopus 로고
    • N.A. Pierce, M.B. Giles, Preconditioning compressible flow calculations on stretched meshes, AIAA Paper 96-0889, 1996.
  • 33
    • 0037141108 scopus 로고    scopus 로고
    • Stability analysis of preconditioned approximations of the Euler equations on unstructured meshes
    • Moinier P., and Giles M.B. Stability analysis of preconditioned approximations of the Euler equations on unstructured meshes. J. Comput. Phys. 178 (2002) 498-519
    • (2002) J. Comput. Phys. , vol.178 , pp. 498-519
    • Moinier, P.1    Giles, M.B.2
  • 34
    • 85189851396 scopus 로고    scopus 로고
    • P. Moinier, M.B. Giles, Preconditioned Euler and Navier-Stokes calculations on unstructured grids, in: 6th ICFD Conference on Numerical Methods for Fluid Dynamics, Oxford, UK, 1998.
  • 35
    • 85189851762 scopus 로고    scopus 로고
    • S. Venkateswaran, D. Li, C.L. Merkle, Influence of stagnation regions on preconditioned solutions at low speeds, AIAA-2003-0435, 41st Aerospace Sciences Meeting and Exhibit, Reno, NV, January 6-9, 2003.
  • 36
    • 85189848580 scopus 로고    scopus 로고
    • S. Venkateswaran, C.L. Merkle, Dual-time stepping and preconditioning for unsteady computations, AIAA Paper 95-0078, 33rd Aerospace Sciences Meeting and Exhibit, January 9-12, 1995.
  • 37
    • 85189852682 scopus 로고    scopus 로고
    • S. Venkateswaran, P.E.O. Buelow, C.L. Merkle, Development of linearized preconditioning methods for enhancing robustness and efficiency of Euler and Navier-Stokes computations, AIAA Paper 97-2030, 1997.
  • 38
    • 85189846868 scopus 로고    scopus 로고
    • S. Venkateswaran, C.L. Merkle, Analysis of time-derivative preconditioning for the Navier-Stokes equations, in: 6th International Symposium on Computational Fluid Dynamics, 1995, pp.1323-1328.
  • 39
    • 45949116154 scopus 로고
    • Preconditioned methods for solving the incompressible and low speed compressible equations
    • Turkel E. Preconditioned methods for solving the incompressible and low speed compressible equations. J. Comput. Phys. 72 (1987)
    • (1987) J. Comput. Phys. , vol.72
    • Turkel, E.1
  • 40
    • 85189850420 scopus 로고    scopus 로고
    • B. Van Leer, W.T. Lee, P.L. Roe, Characteristic time-stepping or local preconditioning of the Euler equations, AIAA Paper 91-1552, 1991.
  • 41
    • 0029511474 scopus 로고
    • Preconditioning applied to variable and constant density flows
    • Weiss J.M., and Smith W.A. Preconditioning applied to variable and constant density flows. AIAA J. 33 11 (1995) 2050
    • (1995) AIAA J. , vol.33 , Issue.11 , pp. 2050
    • Weiss, J.M.1    Smith, W.A.2
  • 42
    • 0242595876 scopus 로고    scopus 로고
    • Parallel unsteady incompressible viscous flow simulation using an unstructured multigrid method
    • Tai C.H., and Zhao Y. Parallel unsteady incompressible viscous flow simulation using an unstructured multigrid method. J. Comput. Phys. 192 1 (2003) 277-311. http://www.academicpress.com/jcp
    • (2003) J. Comput. Phys. , vol.192 , Issue.1 , pp. 277-311
    • Tai, C.H.1    Zhao, Y.2
  • 43
    • 85189849428 scopus 로고    scopus 로고
    • A. Singh, Y. Zhao, Parallel unstructured dynamic grid direct Monte Carlo simulation of molecular gas dynamics and the associated thin film deposition, computational fluid and solid mechanics, in: K.J. Bathe (Ed.), Elsevier Science, The First MIT Conference on Computational Fluid and Solid Mechanics, June 11-13, 2001, MIT, Cambridge, MA 02139, USA.
  • 45
    • 85189846687 scopus 로고    scopus 로고
    • G. Karypis, V. Kumar, Metis: 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.
  • 46
    • 85189850583 scopus 로고    scopus 로고
    • G.H. Xia, Y. Zhao, J.H. Yeo, An immersed membrane method for simulation of fluid-structure interaction in bio-fluid flows, in: 1st International BioEngineering Conference (IBEC 2004), 08-10 September 2004.
  • 48
    • 18844400065 scopus 로고    scopus 로고
    • A hybrid Cartesian/immersed boundary method for simulating flows with 3D, geometrically complex, moving bodies
    • Gilmanov A., and Sotiropoulos F. A hybrid Cartesian/immersed boundary method for simulating flows with 3D, geometrically complex, moving bodies. J. Comput. Phys. 207 2 (2005) 457-492
    • (2005) J. Comput. Phys. , vol.207 , Issue.2 , pp. 457-492
    • Gilmanov, A.1    Sotiropoulos, F.2
  • 49
    • 0019087229 scopus 로고
    • The steady flow due to a rotating sphere at low and moderate Reynolds numbers
    • Dennis S.C.R., Singh S.N., and Ingham D.B. The steady flow due to a rotating sphere at low and moderate Reynolds numbers. Phys. Fluids 101 (1980) 257-279
    • (1980) Phys. Fluids , vol.101 , pp. 257-279
    • Dennis, S.C.R.1    Singh, S.N.2    Ingham, D.B.3
  • 51
    • 0018038156 scopus 로고
    • Mechanism of determination of the shedding frequency of vortices behind a cylinder at low Reynolds numbers
    • Nishioka M., and Sato H. Mechanism of determination of the shedding frequency of vortices behind a cylinder at low Reynolds numbers. J. Fluid Mech. 89 (1978) 49-60
    • (1978) J. Fluid Mech. , vol.89 , pp. 49-60
    • Nishioka, M.1    Sato, H.2
  • 52
    • 0002168745 scopus 로고    scopus 로고
    • Preconditioned multigrid methods for unsteady incompressible flows
    • Liu C., Zheng X., and Sung C.H. Preconditioned multigrid methods for unsteady incompressible flows. J. Comput. Phys. 139 (1998) 35-57
    • (1998) J. Comput. Phys. , vol.139 , pp. 35-57
    • Liu, C.1    Zheng, X.2    Sung, C.H.3
  • 53
    • 0001698255 scopus 로고
    • Defining a universal and continuous Strouhal-Reynolds number relationship for the laminar vortex shedding of a circular cylinder
    • Williamson C.H.K. Defining a universal and continuous Strouhal-Reynolds number relationship for the laminar vortex shedding of a circular cylinder. Phys. Fluids 31 (1988) 2742-2744
    • (1988) Phys. Fluids , vol.31 , pp. 2742-2744
    • Williamson, C.H.K.1
  • 54
    • 85189846103 scopus 로고    scopus 로고
    • R. Wille, Karman Vortex Streets, in: Advances in Applied Mechanics, vol. 6, Academic, New York, 1960, pp. 273-287.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.