메뉴 건너뛰기




Volumn 250, Issue , 2013, Pages 446-476

A unified mathematical framework and an adaptive numerical method for fluid-structure interaction with rigid, deforming, and elastic bodies

Author keywords

Adaptive mesh refinement; Distributed Lagrange multipliers; Fluid structure interaction; Free swimming; Immersed boundary method; Incompressible Navier Stokes equations

Indexed keywords

BOUNDARY LAYERS; LAGRANGE MULTIPLIERS; MESH GENERATION; NAVIER STOKES EQUATIONS; NUMERICAL METHODS; RIGID STRUCTURES; TURBULENT FLOW;

EID: 84879161700     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2013.04.033     Document Type: Article
Times cited : (170)

References (86)
  • 1
    • 0000347507 scopus 로고    scopus 로고
    • Direct numerical simulations of fluid-solid systems using the arbitrary Lagrangian-Eulerian technique
    • Hu H.H., Patankar N.A., Zhu M.Y. Direct numerical simulations of fluid-solid systems using the arbitrary Lagrangian-Eulerian technique. J. Comput. Phys. 2001, 169:427-462.
    • (2001) J. Comput. Phys. , vol.169 , pp. 427-462
    • Hu, H.H.1    Patankar, N.A.2    Zhu, M.Y.3
  • 2
    • 33846519304 scopus 로고    scopus 로고
    • Simulations of optimized anguilliform swimming
    • Kern S., Koumoutsakos P. Simulations of optimized anguilliform swimming. J. Expt. Biol. 2006, 209:4841-4857.
    • (2006) J. Expt. Biol. , vol.209 , pp. 4841-4857
    • Kern, S.1    Koumoutsakos, P.2
  • 3
    • 33751544551 scopus 로고    scopus 로고
    • The immersed boundary method
    • Peskin C.S. The immersed boundary method. Acta Numer. 2002, 11:479-517.
    • (2002) Acta Numer. , vol.11 , pp. 479-517
    • Peskin, C.S.1
  • 4
    • 0002705663 scopus 로고    scopus 로고
    • A remark on jump conditions for the three-dimensional Navier-Stokes equations involving an immersed moving membrane
    • Lai M.-C., Li Z.-L. A remark on jump conditions for the three-dimensional Navier-Stokes equations involving an immersed moving membrane. Appl. Math. Lett. 2001, 14(2):149-154.
    • (2001) Appl. Math. Lett. , vol.14 , Issue.2 , pp. 149-154
    • Lai, M.-C.1    Li, Z.-L.2
  • 5
    • 33751216483 scopus 로고    scopus 로고
    • Systematic derivation of jump conditions for the immersed interface method in three-dimensional flow simulation
    • Xu S., Wang Z.J. Systematic derivation of jump conditions for the immersed interface method in three-dimensional flow simulation. SIAM J. Sci. Comput. 2006, 27(6):1948-1980.
    • (2006) SIAM J. Sci. Comput. , vol.27 , Issue.6 , pp. 1948-1980
    • Xu, S.1    Wang, Z.J.2
  • 6
    • 0000810173 scopus 로고    scopus 로고
    • An adaptive version of the immersed boundary method
    • Roma A.M., Peskin C.S., Berger M.J. An adaptive version of the immersed boundary method. J. Comput. Phys. 1999, 153(2):509-534.
    • (1999) J. Comput. Phys. , vol.153 , Issue.2 , pp. 509-534
    • Roma, A.M.1    Peskin, C.S.2    Berger, M.J.3
  • 7
    • 33947217364 scopus 로고    scopus 로고
    • An adaptive, formally second order accurate version of the immersed boundary method
    • Griffith B.E., Hornung R.D., McQueen D.M., Peskin C.S. An adaptive, formally second order accurate version of the immersed boundary method. J. Comput. Phys. 2007, 223(1):10-49.
    • (2007) J. Comput. Phys. , vol.223 , Issue.1 , pp. 10-49
    • Griffith, B.E.1    Hornung, R.D.2    McQueen, D.M.3    Peskin, C.S.4
  • 9
    • 84858400633 scopus 로고    scopus 로고
    • Immersed boundary model of aortic heart valve dynamics with physiological driving and loading conditions
    • Griffith B.E. Immersed boundary model of aortic heart valve dynamics with physiological driving and loading conditions. Int. J. Numer. Meth. Biomed. Eng. 2012, 28(3):317-345.
    • (2012) Int. J. Numer. Meth. Biomed. Eng. , vol.28 , Issue.3 , pp. 317-345
    • Griffith, B.E.1
  • 10
    • 0032857504 scopus 로고    scopus 로고
    • A distributed Lagrange multiplier/fictitious domain method for particulate flows
    • Glowinski R., Pan T.-W., Hesla T.I., Joseph D.D. A distributed Lagrange multiplier/fictitious domain method for particulate flows. Int. J. Multiphase Flow 1999, 25:755-794.
    • (1999) Int. J. Multiphase Flow , vol.25 , pp. 755-794
    • Glowinski, R.1    Pan, T.-W.2    Hesla, T.I.3    Joseph, D.D.4
  • 11
    • 0034045490 scopus 로고    scopus 로고
    • A new formulation of the distributed Lagrange multiplier/fictitious domain method for particulate flows
    • Patankar N.A., Singh P., Joseph D.D., Glowinski R., Pan T. A new formulation of the distributed Lagrange multiplier/fictitious domain method for particulate flows. Int. J. Multiphase Flow 2000, 26:1509-1524.
    • (2000) Int. J. Multiphase Flow , vol.26 , pp. 1509-1524
    • Patankar, N.A.1    Singh, P.2    Joseph, D.D.3    Glowinski, R.4    Pan, T.5
  • 12
    • 0141674489 scopus 로고    scopus 로고
    • A formulation for fast computations of rigid particulate flows
    • Tech. rep., Center for Turbulence Research Annual Research Briefs
    • N.A. Patankar, A formulation for fast computations of rigid particulate flows, Tech. rep., Center for Turbulence Research Annual Research Briefs, (2001). http://ctr.stanford.edu.
    • (2001)
    • Patankar, N.A.1
  • 13
    • 60149108547 scopus 로고    scopus 로고
    • Physical interpretation and mathematical properties of the stress-DLM formulation for rigid particulate flows
    • Patankar N.A. Physical interpretation and mathematical properties of the stress-DLM formulation for rigid particulate flows. Int. J. Comput. Method Eng. Sci. Mech. 2005, 6:137-143.
    • (2005) Int. J. Comput. Method Eng. Sci. Mech. , vol.6 , pp. 137-143
    • Patankar, N.A.1
  • 14
    • 60149095584 scopus 로고    scopus 로고
    • A new mathematical formulational and fast algorithm for fully resolved simulation of self-propulsion
    • Shirgaonkar A.A., MacIver M.A., Patankar N.A. A new mathematical formulational and fast algorithm for fully resolved simulation of self-propulsion. J. Comput. Phys. 2009, 228:2366-2390.
    • (2009) J. Comput. Phys. , vol.228 , pp. 2366-2390
    • Shirgaonkar, A.A.1    MacIver, M.A.2    Patankar, N.A.3
  • 15
    • 84968510911 scopus 로고
    • Numerical solution of the Navier-Stokes equations
    • Chorin A.J. Numerical solution of the Navier-Stokes equations. Math. Comput. 1968, 22(104):745-762.
    • (1968) Math. Comput. , vol.22 , Issue.104 , pp. 745-762
    • Chorin, A.J.1
  • 16
    • 48749141209 scopus 로고
    • Adaptive mesh refinement for hyperbolic partial-differential equations
    • Berger M.J., Oliger J. Adaptive mesh refinement for hyperbolic partial-differential equations. J. Comput. Phys. 1984, 53(3):484-512.
    • (1984) J. Comput. Phys. , vol.53 , Issue.3 , pp. 484-512
    • Berger, M.J.1    Oliger, J.2
  • 17
    • 11744289966 scopus 로고
    • Local adaptive mesh refinement for shock hydrodynamics
    • Berger M.J., Colella P. Local adaptive mesh refinement for shock hydrodynamics. J. Comput. Phys. 1989, 82(1):64-84.
    • (1989) J. Comput. Phys. , vol.82 , Issue.1 , pp. 64-84
    • Berger, M.J.1    Colella, P.2
  • 18
    • 0002265666 scopus 로고
    • A computational model of aquatic animal locomotion
    • Fauci L.J., Peskin C.S. A computational model of aquatic animal locomotion. J. Comput. Phys. 1988, 77:85-108.
    • (1988) J. Comput. Phys. , vol.77 , pp. 85-108
    • Fauci, L.J.1    Peskin, C.S.2
  • 19
    • 78650582674 scopus 로고    scopus 로고
    • Interactions between internal forces, body stiffness, and fluid environment in a neuromechanical model of lamprey swimming
    • Tytell E.D., Hsu C.-Y., Williams T.L., Cohen A.H., Fauci L.J. Interactions between internal forces, body stiffness, and fluid environment in a neuromechanical model of lamprey swimming. Proc. Natl. Acad. Sci. USA 2010, 107:19832-19837.
    • (2010) Proc. Natl. Acad. Sci. USA , vol.107 , pp. 19832-19837
    • Tytell, E.D.1    Hsu, C.-Y.2    Williams, T.L.3    Cohen, A.H.4    Fauci, L.J.5
  • 20
    • 38749138110 scopus 로고    scopus 로고
    • A fixed-mesh method for incompressible flow-structure systems with finite solid deformations
    • Zhao H., Freund J.B., Moser R.D. A fixed-mesh method for incompressible flow-structure systems with finite solid deformations. J. Comput. Phys. 2008, 227:3114-3140.
    • (2008) J. Comput. Phys. , vol.227 , pp. 3114-3140
    • Zhao, H.1    Freund, J.B.2    Moser, R.D.3
  • 21
    • 79960316967 scopus 로고    scopus 로고
    • Reynolds number limits for jet propulsion: A numerical study of simplified jellyfish
    • Herschlag G., Miller L. Reynolds number limits for jet propulsion: A numerical study of simplified jellyfish. J. Theor. Biol. 2011, 285:84-95.
    • (2011) J. Theor. Biol. , vol.285 , pp. 84-95
    • Herschlag, G.1    Miller, L.2
  • 22
    • 9244232829 scopus 로고    scopus 로고
    • Computational modeling in bio-hydrodynamics: trends, challenges and recent advances
    • Mittal R. Computational modeling in bio-hydrodynamics: trends, challenges and recent advances. IEEE J. Ocean Eng. 2004, 29:595-604.
    • (2004) IEEE J. Ocean Eng. , vol.29 , pp. 595-604
    • Mittal, R.1
  • 23
    • 33847648879 scopus 로고    scopus 로고
    • Locomotion with flexible propulsors. II: Computational modeling of pectoral fin swimming in sunfish
    • Mittal R., Dong H., Lauder G.V. Locomotion with flexible propulsors. II: Computational modeling of pectoral fin swimming in sunfish. Bioinsp. Biomim. 2006, 1:S35-S41.
    • (2006) Bioinsp. Biomim. , vol.1
    • Mittal, R.1    Dong, H.2    Lauder, G.V.3
  • 24
    • 46949106196 scopus 로고    scopus 로고
    • Numerical investigation of the hydrodynamics of crangiform swimming in the translational and inertial flow regimes
    • Borazjani I., Sotiropoulos F. Numerical investigation of the hydrodynamics of crangiform swimming in the translational and inertial flow regimes. J. Expt. Biol. 2008, 211:1541-1558.
    • (2008) J. Expt. Biol. , vol.211 , pp. 1541-1558
    • Borazjani, I.1    Sotiropoulos, F.2
  • 25
  • 26
    • 77954760330 scopus 로고    scopus 로고
    • A versatile implicit iterative approach for fully resolved simulations of self-propulsion
    • Curet O.M., AlAli I.K., MacIver M.A., Patankar N.A. A versatile implicit iterative approach for fully resolved simulations of self-propulsion. Comput. Methods Appl. Mech. Eng. 2010, 199:2336-2390.
    • (2010) Comput. Methods Appl. Mech. Eng. , vol.199 , pp. 2336-2390
    • Curet, O.M.1    AlAli, I.K.2    MacIver, M.A.3    Patankar, N.A.4
  • 27
    • 78149409297 scopus 로고    scopus 로고
    • Modeling and simulation of fish-like swimming
    • Bergmann M., Iollo A. Modeling and simulation of fish-like swimming. J. Comput. Phys. 2011, 230:329-348.
    • (2011) J. Comput. Phys. , vol.230 , pp. 329-348
    • Bergmann, M.1    Iollo, A.2
  • 28
    • 23044519920 scopus 로고    scopus 로고
    • Function of the caudal fin during locomotion in fishes: kinematics, flow visualization, and evolutionary patterns
    • Lauder G.V. Function of the caudal fin during locomotion in fishes: kinematics, flow visualization, and evolutionary patterns. Am. Zool. 2000, 40:101-122.
    • (2000) Am. Zool. , vol.40 , pp. 101-122
    • Lauder, G.V.1
  • 29
    • 0036876225 scopus 로고    scopus 로고
    • Experimental hydrodynamics and evolution: function of median fins in ray-finned fishes
    • Lauder G.V., Nauen J.C., Drucker E.G. Experimental hydrodynamics and evolution: function of median fins in ray-finned fishes. Integr. Comput. Biol. 2002, 42:1009-1017.
    • (2002) Integr. Comput. Biol. , vol.42 , pp. 1009-1017
    • Lauder, G.V.1    Nauen, J.C.2    Drucker, E.G.3
  • 30
    • 0242370144 scopus 로고    scopus 로고
    • Sensitivity analysis of kinematic approximations in dynamic medusan swimming models
    • Dabiri J.O., Gharib M. Sensitivity analysis of kinematic approximations in dynamic medusan swimming models. J. Expt. Biol. 2003, 206:3675-3680.
    • (2003) J. Expt. Biol. , vol.206 , pp. 3675-3680
    • Dabiri, J.O.1    Gharib, M.2
  • 31
    • 3042648716 scopus 로고    scopus 로고
    • The hydrodynamics of eel swimming. I: Wake structure
    • Tytell E.D., Lauder G.V. The hydrodynamics of eel swimming. I: Wake structure. J. Expt. Biol. 2004, 207:1825-1841.
    • (2004) J. Expt. Biol. , vol.207 , pp. 1825-1841
    • Tytell, E.D.1    Lauder, G.V.2
  • 32
    • 79958047313 scopus 로고    scopus 로고
    • Aquatic manoeuvering with counter-propagating waves: a novel locomotive strategy
    • Curet O.M., Patankar N.A., Lauder G.V., MacIver M.A. Aquatic manoeuvering with counter-propagating waves: a novel locomotive strategy. J. R. Soc. Interface 2011, 8:1041-1050.
    • (2011) J. R. Soc. Interface , vol.8 , pp. 1041-1050
    • Curet, O.M.1    Patankar, N.A.2    Lauder, G.V.3    MacIver, M.A.4
  • 33
    • 79958121671 scopus 로고    scopus 로고
    • Mechanical properties of a bio-inspired robotic knifefish with an undulatory propulsor
    • Curet O.M., Patankar N.A., Lauder G.V., MacIver M.A. Mechanical properties of a bio-inspired robotic knifefish with an undulatory propulsor. Bioinspir. Biomim. 2011, 6:026004.
    • (2011) Bioinspir. Biomim. , vol.6 , pp. 026004
    • Curet, O.M.1    Patankar, N.A.2    Lauder, G.V.3    MacIver, M.A.4
  • 34
    • 84874154169 scopus 로고    scopus 로고
    • Kinematics of the ribbon fin in hovering and swimming of the electric ghost knifefish
    • Ruiz-Torres R., Curet O.M., Lauder G.V., MacIver M.A. Kinematics of the ribbon fin in hovering and swimming of the electric ghost knifefish. J. Expt. Biol. 2013, 216:823-834.
    • (2013) J. Expt. Biol. , vol.216 , pp. 823-834
    • Ruiz-Torres, R.1    Curet, O.M.2    Lauder, G.V.3    MacIver, M.A.4
  • 35
    • 61349147082 scopus 로고    scopus 로고
    • A numerical method for fully resolved simulation (FRS) of rigid particle-flow interactions in complex flows
    • Apte S.V., Martin M., Patankar N.A. A numerical method for fully resolved simulation (FRS) of rigid particle-flow interactions in complex flows. J. Comput. Phys. 2009, 228:2712-2738.
    • (2009) J. Comput. Phys. , vol.228 , pp. 2712-2738
    • Apte, S.V.1    Martin, M.2    Patankar, N.A.3
  • 36
    • 84876330201 scopus 로고    scopus 로고
    • A variable-density fictitious domain method for particulate flows with broad range of particle-fluid density ratios
    • Apte S., Finn J. A variable-density fictitious domain method for particulate flows with broad range of particle-fluid density ratios. J. Comput. Phys. 2013, 243:109-129.
    • (2013) J. Comput. Phys. , vol.243 , pp. 109-129
    • Apte, S.1    Finn, J.2
  • 37
    • 85190571697 scopus 로고    scopus 로고
    • Immersed boundary method for variable viscosity and variable density problems using fast linear solvers
    • I: Numerical method and results, manuscript submitted for publication
    • T.G. Fai, B.E. Griffith, Y. Mori, C.S. Peskin, Immersed boundary method for variable viscosity and variable density problems using fast linear solvers. I: Numerical method and results, manuscript submitted for publication.
    • Fai, T.G.1    Griffith, B.E.2    Mori, Y.3    Peskin, C.S.4
  • 38
    • 85190571697 scopus 로고    scopus 로고
    • Immersed boundary method for variable viscosity and variable density problems using fast linear solvers
    • II: Theory, manuscript submitted for publication
    • T.G. Fai, B.E. Griffith, Y. Mori, C.S. Peskin, Immersed boundary method for variable viscosity and variable density problems using fast linear solvers. II: Theory, manuscript submitted for publication.
    • Fai, T.G.1    Griffith, B.E.2    Mori, Y.3    Peskin, C.S.4
  • 39
    • 69049112963 scopus 로고    scopus 로고
    • Simulating the fluid dynamics of natural and prosthetic heart valves using the immersed boundary method
    • Griffith B.E., Luo X., McQueen D.M., Peskin C.S. Simulating the fluid dynamics of natural and prosthetic heart valves using the immersed boundary method. Int. J. Appl. Mech. 2009, 1(1):137-177.
    • (2009) Int. J. Appl. Mech. , vol.1 , Issue.1 , pp. 137-177
    • Griffith, B.E.1    Luo, X.2    McQueen, D.M.3    Peskin, C.S.4
  • 42
  • 43
    • 84861235476 scopus 로고    scopus 로고
    • An energy-based immersed boundary method for incompressible viscoelasticity
    • Devendran D., Peksin C.S. An energy-based immersed boundary method for incompressible viscoelasticity. J. Comput. Phys. 2012, 231(14):4613-4642.
    • (2012) J. Comput. Phys. , vol.231 , Issue.14 , pp. 4613-4642
    • Devendran, D.1    Peksin, C.S.2
  • 44
    • 84857564134 scopus 로고    scopus 로고
    • Hybrid finite difference/finite element version of the immersed boundary method, manuscript submitted for publications
    • B.E. Griffith, X. Luo, Hybrid finite difference/finite element version of the immersed boundary method, manuscript submitted for publications.
    • Griffith, B.E.1    Luo, X.2
  • 45
    • 19044361846 scopus 로고    scopus 로고
    • On the order of accuracy of the immersed boundary method: Higher order convergence rates for sufficiently smooth problems
    • Griffith B.E., Peskin C.S. On the order of accuracy of the immersed boundary method: Higher order convergence rates for sufficiently smooth problems. J. Comput. Phys. 2005, 208(1):75-105.
    • (2005) J. Comput. Phys. , vol.208 , Issue.1 , pp. 75-105
    • Griffith, B.E.1    Peskin, C.S.2
  • 46
    • 34547537336 scopus 로고    scopus 로고
    • Accurate monotonicity- and extrema-preserving methods through adaptive nonlinear hybridizations
    • Rider W.J., Greenough J.A., Kamm J.R. Accurate monotonicity- and extrema-preserving methods through adaptive nonlinear hybridizations. J. Comput. Phys. 2007, 225(2):1827-1848.
    • (2007) J. Comput. Phys. , vol.225 , Issue.2 , pp. 1827-1848
    • Rider, W.J.1    Greenough, J.A.2    Kamm, J.R.3
  • 47
    • 34547419627 scopus 로고
    • The piecewise parabolic method (PPM) for gas-dynamical simulations
    • Colella P., Woodward P.R. The piecewise parabolic method (PPM) for gas-dynamical simulations. J. Comput. Phys. 1984, 54(1):174-201.
    • (1984) J. Comput. Phys. , vol.54 , Issue.1 , pp. 174-201
    • Colella, P.1    Woodward, P.R.2
  • 48
    • 0000954680 scopus 로고
    • A flexible inner-outer preconditioned GMRES algorithm
    • Saad Y. A flexible inner-outer preconditioned GMRES algorithm. SIAM J. Sci. Comput. 1993, 14(2):461-469.
    • (1993) SIAM J. Sci. Comput. , vol.14 , Issue.2 , pp. 461-469
    • Saad, Y.1
  • 49
    • 69049084381 scopus 로고    scopus 로고
    • An accurate and efficient method for the incompressible Navier-Stokes equations using the projection method as a preconditioner
    • Griffith B.E. An accurate and efficient method for the incompressible Navier-Stokes equations using the projection method as a preconditioner. J. Comput. Phys. 2009, 228(20):7565-7595.
    • (2009) J. Comput. Phys. , vol.228 , Issue.20 , pp. 7565-7595
    • Griffith, B.E.1
  • 50
    • 0026226856 scopus 로고
    • An algorithm for point clustering and grid generation
    • Berger M.J., Rigoutsos I. An algorithm for point clustering and grid generation. IEEE Trans. Syst., Man Cybern. 1991, 21(5):1278-1286.
    • (1991) IEEE Trans. Syst., Man Cybern. , vol.21 , Issue.5 , pp. 1278-1286
    • Berger, M.J.1    Rigoutsos, I.2
  • 51
    • 0037055773 scopus 로고    scopus 로고
    • Divergence- and curl-preserving prolongation and restriction formulas
    • Tóth G., Roe P.L. Divergence- and curl-preserving prolongation and restriction formulas. J. Comput. Phys. 2002, 180(2):736-750.
    • (2002) J. Comput. Phys. , vol.180 , Issue.2 , pp. 736-750
    • Tóth, G.1    Roe, P.L.2
  • 52
    • 85190568928 scopus 로고    scopus 로고
    • IBAMR: An adaptive and distributed-memory parallel implementation of the immersed boundary method
    • IBAMR: An adaptive and distributed-memory parallel implementation of the immersed boundary method, http://ibamr.googlecode.com.
  • 53
    • 85190567301 scopus 로고    scopus 로고
    • SAMRAI: Structured Adaptive Mesh Refinement Application Infrastructure, .
    • SAMRAI: Structured Adaptive Mesh Refinement Application Infrastructure, http://www.llnl.gov/CASC/SAMRAI.
  • 54
    • 0037171879 scopus 로고    scopus 로고
    • Managing application complexity in the SAMRAI object-oriented framework
    • Hornung R.D., Kohn S.R. Managing application complexity in the SAMRAI object-oriented framework. Concurrency Comput. Pract. Ex. 2002, 14(5):347-368.
    • (2002) Concurrency Comput. Pract. Ex. , vol.14 , Issue.5 , pp. 347-368
    • Hornung, R.D.1    Kohn, S.R.2
  • 55
    • 34249930796 scopus 로고    scopus 로고
    • Managing complex data and geometry in parallel structured AMR applications
    • Hornung R.D., Wissink A.M., Kohn S.R. Managing complex data and geometry in parallel structured AMR applications. Eng. Comput. 2006, 22(3-4):181-195.
    • (2006) Eng. Comput. , vol.22 , Issue.3-4 , pp. 181-195
    • Hornung, R.D.1    Wissink, A.M.2    Kohn, S.R.3
  • 58
    • 0002515487 scopus 로고    scopus 로고
    • Efficient management of parallelism in object oriented numerical software libraries
    • E. Arge, A.M. Bruaset, H.P. Langtangen (Eds.), Modern Software Tools in Scientific Computing, Birkhäuser Press
    • S. Balay, V. Eijkhout, W.D. Gropp, L.C. McInnes, B.F. Smith, Efficient management of parallelism in object oriented numerical software libraries, in: E. Arge, A.M. Bruaset, H.P. Langtangen (Eds.), Modern Software Tools in Scientific Computing, Birkhäuser Press, 1997, pp. 163-202.
    • (1997) , pp. 163-202
    • Balay, S.1    Eijkhout, V.2    Gropp, W.D.3    McInnes, L.C.4    Smith, B.F.5
  • 59
    • 85190569420 scopus 로고    scopus 로고
    • hypre: High performance preconditioners
    • hypre: High performance preconditioners, http://www.llnl.gov/CASC/hypre.
  • 60
    • 84886852494 scopus 로고    scopus 로고
    • hypre: a library of high performance preconditioners
    • P.M.A. Sloot, C.J.K. Tan, J.J. Dongarra, A.G. Hoekstra (Eds.), Computational Science - ICCS 2002 Part III, Vol. 2331 of Lecture Notes in Computer Science, Springer-Verlag, 2002, Also available as LLNL Technical, Report UCRL-JC-146175.
    • R.D. Falgout, U.M. Yang, hypre: a library of high performance preconditioners, in: P.M.A. Sloot, C.J.K. Tan, J.J. Dongarra, A.G. Hoekstra (Eds.), Computational Science - ICCS 2002 Part III, Vol. 2331 of Lecture Notes in Computer Science, Springer-Verlag, 2002, pp. 632-641. Also available as LLNL Technical, Report UCRL-JC-146175.
    • Falgout, R.D.1    Yang, U.M.2
  • 61
    • 85190569439 scopus 로고    scopus 로고
    • libMesh: C++ Finite Element Library
    • libMesh: C++ Finite Element Library, http://libmesh.sourceforge.net.
  • 62
    • 43149123393 scopus 로고    scopus 로고
    • LibMesh: A C++ library for parallel adaptive mesh refinement/coarsening simulations
    • Kirk B., Peterson J.W., Stogner R.H., Carey G.F. libMesh: A C++ library for parallel adaptive mesh refinement/coarsening simulations. Eng. Comput. 2006, 22(3-4):237-254.
    • (2006) Eng. Comput. , vol.22 , Issue.3-4 , pp. 237-254
    • Kirk, B.1    Peterson, J.W.2    Stogner, R.H.3    Carey, G.F.4
  • 63
    • 34547518876 scopus 로고    scopus 로고
    • The immersed boundary method: a projection approach
    • Taira K., Colonius T. The immersed boundary method: a projection approach. J. Comput. Phys. 2007, 225:2118-2137.
    • (2007) J. Comput. Phys. , vol.225 , pp. 2118-2137
    • Taira, K.1    Colonius, T.2
  • 64
    • 0027454757 scopus 로고
    • Viscous flow normal to a flat plate at moderate Reynolds numbers
    • Dennis S.C.R., Quang W., Coutanceau M., Launay J.-L. Viscous flow normal to a flat plate at moderate Reynolds numbers. J. Fluid. Mech. 1993, 248:605-635.
    • (1993) J. Fluid. Mech. , vol.248 , pp. 605-635
    • Dennis, S.C.R.1    Quang, W.2    Coutanceau, M.3    Launay, J.-L.4
  • 66
    • 0022698249 scopus 로고
    • Numerical study and physical analysis of the pressure and velocity fields in the near wake of a circular cylinder
    • Braza M., Chassaing P., Minh H.H. Numerical study and physical analysis of the pressure and velocity fields in the near wake of a circular cylinder. J. Fluid. Mech. 1986, 165:79-130.
    • (1986) J. Fluid. Mech. , vol.165 , pp. 79-130
    • Braza, M.1    Chassaing, P.2    Minh, H.H.3
  • 67
    • 0031378261 scopus 로고    scopus 로고
    • Nonlinear dynamics and pattern formation in turbulent wake transition
    • Henderson R. Nonlinear dynamics and pattern formation in turbulent wake transition. J. Fluid. Mech. 1997, 352:65-112.
    • (1997) J. Fluid. Mech. , vol.352 , pp. 65-112
    • Henderson, R.1
  • 68
    • 0003162035 scopus 로고    scopus 로고
    • Active control and drag optimization for flow past a circular cylinder. Part 1. Oscillatory cylinder rotation
    • He J.-W., Glowinski R., Metcalfe R., Nordlander A., Périaux J. Active control and drag optimization for flow past a circular cylinder. Part 1. Oscillatory cylinder rotation. J. Comput. Phys. 2000, 163:83-117.
    • (2000) J. Comput. Phys. , vol.163 , pp. 83-117
    • He, J.-W.1    Glowinski, R.2    Metcalfe, R.3    Nordlander, A.4    Périaux, J.5
  • 69
    • 57649238016 scopus 로고    scopus 로고
    • Calculation of hydrodynamic forces acting on submerged moving object using immersed boundary method
    • Shen L., Chan E.-S., Lin P. Calculation of hydrodynamic forces acting on submerged moving object using immersed boundary method. Comput. Fluid 2009, 38:691-702.
    • (2009) Comput. Fluid , vol.38 , pp. 691-702
    • Shen, L.1    Chan, E.-S.2    Lin, P.3
  • 70
    • 0032051231 scopus 로고    scopus 로고
    • Low-Reynolds-number flow around an oscillating circular cylinder at low Keulegan-Carpenter numbers
    • Dutsch H., Durst F., Becker S., Lienhart H. Low-Reynolds-number flow around an oscillating circular cylinder at low Keulegan-Carpenter numbers. J. Fluid Mech. 1998, 360:249-271.
    • (1998) J. Fluid Mech. , vol.360 , pp. 249-271
    • Dutsch, H.1    Durst, F.2    Becker, S.3    Lienhart, H.4
  • 71
    • 0000969328 scopus 로고    scopus 로고
    • Velocity measurement of a settling sphere
    • Mordant N., Pinton J.F. Velocity measurement of a settling sphere. Eur. Phys. J. B 2000, 18:343-352.
    • (2000) Eur. Phys. J. B , vol.18 , pp. 343-352
    • Mordant, N.1    Pinton, J.F.2
  • 72
    • 17144367356 scopus 로고    scopus 로고
    • A fast computational technique for the direct numerical simulation of rigid particulate flows
    • Sharma N., Patankar N.A. A fast computational technique for the direct numerical simulation of rigid particulate flows. J. Comput. Phys. 2005, 205:439-457.
    • (2005) J. Comput. Phys. , vol.205 , pp. 439-457
    • Sharma, N.1    Patankar, N.A.2
  • 73
    • 72149097853 scopus 로고    scopus 로고
    • Simulation of fish swimming and manoeuvring by an SVD- GFD method on a hybrid meshfree-Cartesian grid
    • Yeo K.S., Ang S.J., Shu C. Simulation of fish swimming and manoeuvring by an SVD- GFD method on a hybrid meshfree-Cartesian grid. Comput. Fluid 2010, 39:403-430.
    • (2010) Comput. Fluid , vol.39 , pp. 403-430
    • Yeo, K.S.1    Ang, S.J.2    Shu, C.3
  • 74
    • 17144462026 scopus 로고
    • Closed-streamline flows past rotating single cylinders and spheres: inertia effects
    • Poe G.G., Acrivos A. Closed-streamline flows past rotating single cylinders and spheres: inertia effects. J. Fluid Mech. 1975, 72:605-623.
    • (1975) J. Fluid Mech. , vol.72 , pp. 605-623
    • Poe, G.G.1    Acrivos, A.2
  • 75
    • 0028992021 scopus 로고
    • Three-dimensional calculations of the simple shear flow around a single particle between two moving walls
    • Nirschl H., Dwyer H.A., Denk V. Three-dimensional calculations of the simple shear flow around a single particle between two moving walls. J. Fluid Mech. 1995, 283:273-285.
    • (1995) J. Fluid Mech. , vol.283 , pp. 273-285
    • Nirschl, H.1    Dwyer, H.A.2    Denk, V.3
  • 76
    • 0036498625 scopus 로고    scopus 로고
    • Finite Reynolds number effect on the rheology of a dilute suspension of neutrally buoyant circular particles in a Newtonian fluid
    • Patankar N.A., Hu H.H. Finite Reynolds number effect on the rheology of a dilute suspension of neutrally buoyant circular particles in a Newtonian fluid. Int. J. Multiphase Flow 2002, 28:409-425.
    • (2002) Int. J. Multiphase Flow , vol.28 , pp. 409-425
    • Patankar, N.A.1    Hu, H.H.2
  • 77
    • 12144275254 scopus 로고    scopus 로고
    • Stationary shear flow around fixed and free bodies at finite Reynolds number
    • Mikulencak D.R., Morris J.F. Stationary shear flow around fixed and free bodies at finite Reynolds number. J. Fluid Mech. 2004, 520:215-242.
    • (2004) J. Fluid Mech. , vol.520 , pp. 215-242
    • Mikulencak, D.R.1    Morris, J.F.2
  • 78
    • 80052967733 scopus 로고    scopus 로고
    • A three-dimensional hybrid meshfree-Cartesian scheme for fluid-body interaction
    • Yu P., Yeo K.S., Sundar D.S., Ang S.J. A three-dimensional hybrid meshfree-Cartesian scheme for fluid-body interaction. Int. J. Numer. Meth. Eng. 2011, 88:385-408.
    • (2011) Int. J. Numer. Meth. Eng. , vol.88 , pp. 385-408
    • Yu, P.1    Yeo, K.S.2    Sundar, D.S.3    Ang, S.J.4
  • 79
    • 44949266298 scopus 로고
    • Optimal thrust development in oscillating foils with application to fish propulsion
    • Triantafyllou G.S., Triantafyllou M.S., Grosenbaugh M.A. Optimal thrust development in oscillating foils with application to fish propulsion. J. Fluids Struct. 1993, 7:205-224.
    • (1993) J. Fluids Struct. , vol.7 , pp. 205-224
    • Triantafyllou, G.S.1    Triantafyllou, M.S.2    Grosenbaugh, M.A.3
  • 80
    • 5344251752 scopus 로고    scopus 로고
    • The hydrodynamics of eel swimming II. Effect of swimming speed
    • Tytell E.D. The hydrodynamics of eel swimming II. Effect of swimming speed. J. Expt. Biol. 2004, 207:3265-3279.
    • (2004) J. Expt. Biol. , vol.207 , pp. 3265-3279
    • Tytell, E.D.1
  • 81
    • 0033960830 scopus 로고    scopus 로고
    • Body modeling and model-based tracking for neuroethology
    • MacIver M.A., Nelson M.E. Body modeling and model-based tracking for neuroethology. J. Neurosci. Method 2000, 95:133-143.
    • (2000) J. Neurosci. Method , vol.95 , pp. 133-143
    • MacIver, M.A.1    Nelson, M.E.2
  • 82
    • 33750540791 scopus 로고    scopus 로고
    • An elastic rod model for anguilliform swimming
    • McMillen T., Holmes P. An elastic rod model for anguilliform swimming. J. Math. Biol. 2006, 53:843-886.
    • (2006) J. Math. Biol. , vol.53 , pp. 843-886
    • McMillen, T.1    Holmes, P.2
  • 83
    • 0001439074 scopus 로고    scopus 로고
    • The immersed interface method for the Navier-Stokes equations with singular forces
    • Li Z.-L., Lai M.-C. The immersed interface method for the Navier-Stokes equations with singular forces. J. Comput. Phys. 2001, 171(2):822-842.
    • (2001) J. Comput. Phys. , vol.171 , Issue.2 , pp. 822-842
    • Li, Z.-L.1    Lai, M.-C.2
  • 84
    • 2942543066 scopus 로고    scopus 로고
    • An immersed interface method for incompressible Navier-Stokes equations
    • Lee L., LeVeque R.J. An immersed interface method for incompressible Navier-Stokes equations. SIAM J. Sci. Comput. 2003, 25(3):832-856.
    • (2003) SIAM J. Sci. Comput. , vol.25 , Issue.3 , pp. 832-856
    • Lee, L.1    LeVeque, R.J.2
  • 85
    • 0000135764 scopus 로고    scopus 로고
    • Accurate projection methods for the incompressible Navier-Stokes equations
    • Brown D.L., Cortez R., Minion M.L. Accurate projection methods for the incompressible Navier-Stokes equations. J. Comput. Phys. 2001, 168(2):464-499.
    • (2001) J. Comput. Phys. , vol.168 , Issue.2 , pp. 464-499
    • Brown, D.L.1    Cortez, R.2    Minion, M.L.3
  • 86
    • 34249985748 scopus 로고    scopus 로고
    • Penalty immersed boundary method for an elastic boundary with mass
    • (18 pages)
    • Y. Kim, C.S. Peskin, Penalty immersed boundary method for an elastic boundary with mass, Phys. Fluid 19 (2007) 053103 (18 pages).
    • (2007) Phys. Fluid , vol.19 , pp. 053103
    • Kim, Y.1    Peskin, C.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.