메뉴 건너뛰기




Volumn 60, Issue 15, 2004, Pages 2467-2499

A spectral-element method for modelling cavitation in transient fluid-structure interaction

Author keywords

Field separation; Non conformal coupling; Time step subcycling; Underwater shock

Indexed keywords

CALCULATIONS; DEGREES OF FREEDOM (MECHANICS); FINITE ELEMENT METHOD; NUMERICAL ANALYSIS; POLYNOMIALS; REFLECTION; SHOCK WAVES; SURFACE PHENOMENA; UNDERWATER ACOUSTICS;

EID: 4143146468     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.1054     Document Type: Article
Times cited : (98)

References (70)
  • 1
    • 0013379043 scopus 로고
    • Cavitation in an elastic liquid
    • Kennard EH. Cavitation in an elastic liquid. Physical Review 1943; 63(5/6):172-181.
    • (1943) Physical Review , vol.63 , Issue.5-6 , pp. 172-181
    • Kennard, E.H.1
  • 3
    • 0019280539 scopus 로고
    • The effect of a non-zero cavitation tension on the damage sustained by a target plate subject to an underwater explosion
    • Driels MR. The effect of a non-zero cavitation tension on the damage sustained by a target plate subject to an underwater explosion. Journal of Sound and Vibration 1980; 73(4):533-545.
    • (1980) Journal of Sound and Vibration , vol.73 , Issue.4 , pp. 533-545
    • Driels, M.R.1
  • 5
    • 0003738128 scopus 로고
    • Princeton University Press: Princeton, NJ
    • Cole RH. Underwater Explosions. Princeton University Press: Princeton, NJ, 1948.
    • (1948) Underwater Explosions
    • Cole, R.H.1
  • 9
    • 0004083726 scopus 로고
    • Technical Report NPS-69-78-013, Naval Postgraduate School, Monterey, CA
    • Newton RE. Effects of cavitation on underwater shock loading-part 1. Technical Report NPS-69-78-013, Naval Postgraduate School, Monterey, CA, 1978.
    • (1978) Effects of Cavitation on Underwater Shock Loading , Issue.PART 1
    • Newton, R.E.1
  • 12
    • 0026404453 scopus 로고
    • Acoustic fluid volume modeling by the displacement potential formulation, with emphasis on the wedge element
    • Felippa CA, DeRuntz JA. Acoustic fluid volume modeling by the displacement potential formulation, with emphasis on the wedge element. Computers and Structures 1991; 41(4):669-686.
    • (1991) Computers and Structures , vol.41 , Issue.4 , pp. 669-686
    • Felippa, C.A.1    DeRuntz, J.A.2
  • 13
    • 0034881709 scopus 로고    scopus 로고
    • Computational treatment of cavitation effects in near-free-surface underwater shock analysis
    • Sprague MA, Geers TL. Computational treatment of cavitation effects in near-free-surface underwater shock analysis. Shock and Vibration 2001; 8(2):105-122.
    • (2001) Shock and Vibration , vol.8 , Issue.2 , pp. 105-122
    • Sprague, M.A.1    Geers, T.L.2
  • 14
    • 0031644514 scopus 로고    scopus 로고
    • Surface ship shock modeling and simulation: Two-dimensional analysis
    • Shin YS, Santiago LD. Surface ship shock modeling and simulation: two-dimensional analysis. Shock and Vibration 1998; 5:129-137.
    • (1998) Shock and Vibration , vol.5 , pp. 129-137
    • Shin, Y.S.1    Santiago, L.D.2
  • 16
    • 0000015246 scopus 로고
    • Residual potential and approximate methods for three-dimensional fluid-structure interaction problems
    • Geers TL. Residual potential and approximate methods for three-dimensional fluid-structure interaction problems. Journal of the Acoustical Society of America 1971; 49:1505-1510.
    • (1971) Journal of the Acoustical Society of America , vol.49 , pp. 1505-1510
    • Geers, T.L.1
  • 17
    • 0018035525 scopus 로고
    • Doubly asymptotic approximations for transient motions of submerged structures
    • Geers TL. Doubly asymptotic approximations for transient motions of submerged structures. Journal of the Acoustical Society of America 1978; 64(5):1500-1508.
    • (1978) Journal of the Acoustical Society of America , vol.64 , Issue.5 , pp. 1500-1508
    • Geers, T.L.1
  • 23
    • 4143080771 scopus 로고    scopus 로고
    • Personal communication, Hibbitt, Karlsson, and Sorensen, Inc., January
    • Cipolla JL. Personal communication, Hibbitt, Karlsson, and Sorensen, Inc., January 2002.
    • (2002)
    • Cipolla, J.L.1
  • 24
    • 0033294647 scopus 로고    scopus 로고
    • Review: Hydrocodes for structural response to underwater explosions
    • Mair HU. Review: hydrocodes for structural response to underwater explosions. Shock and Vibration 1999; 6(2):81-96.
    • (1999) Shock and Vibration , vol.6 , Issue.2 , pp. 81-96
    • Mair, H.U.1
  • 25
    • 0021644645 scopus 로고
    • Accuracy of finite-difference and finite-element modeling of the scalar and elastic wave equations
    • Marfurt KJ. Accuracy of finite-difference and finite-element modeling of the scalar and elastic wave equations. Geophysics 1984; 49(5):533-549.
    • (1984) Geophysics , vol.49 , Issue.5 , pp. 533-549
    • Marfurt, K.J.1
  • 27
    • 1842582774 scopus 로고    scopus 로고
    • Pressure and velocity fields produced by an underwater explosion
    • Hunter KS, Geers TL. Pressure and velocity fields produced by an underwater explosion. Journal of the Acoustical Society of America 2004; 115(4):1483-1496.
    • (2004) Journal of the Acoustical Society of America , vol.115 , Issue.4 , pp. 1483-1496
    • Hunter, K.S.1    Geers, T.L.2
  • 28
    • 0036214781 scopus 로고    scopus 로고
    • An integrated wave-effects model for an underwater explosion bubble
    • Geers TL, Hunter KS. An integrated wave-effects model for an underwater explosion bubble. Journal of the Acoustical Society of America 2002; 111(4):1584-1601.
    • (2002) Journal of the Acoustical Society of America , vol.111 , Issue.4 , pp. 1584-1601
    • Geers, T.L.1    Hunter, K.S.2
  • 29
    • 0013381353 scopus 로고
    • A modified finite-element procedure for underwater shock analysis
    • San Diego, CA
    • Chan SK. A modified finite-element procedure for underwater shock analysis. In Proceedings of the 61st Shock and Vibration Symposium, vol. 3, San Diego, CA, 1990; 87-101.
    • (1990) Proceedings of the 61st Shock and Vibration Symposium , vol.3 , pp. 87-101
    • Chan, S.K.1
  • 30
    • 0013375174 scopus 로고
    • An improvement in the modified finite-element procedure for underwater shock analysis
    • SAVIAC, Arlington, VA
    • Chan SK. An improvement in the modified finite-element procedure for underwater shock analysis. In Proceedings of the 63rd Shock and Vibration Symposium, SAVIAC, Arlington, VA, 1992; 616-627.
    • (1992) Proceedings of the 63rd Shock and Vibration Symposium , pp. 616-627
    • Chan, S.K.1
  • 32
    • 0037280922 scopus 로고    scopus 로고
    • Spectral elements and field separation for an acoustic fluid subject to cavitation
    • Sprague MA, Geers TL. Spectral elements and field separation for an acoustic fluid subject to cavitation. Journal of Computational Physics 2003; 184:149-162.
    • (2003) Journal of Computational Physics , vol.184 , pp. 149-162
    • Sprague, M.A.1    Geers, T.L.2
  • 34
    • 0033164986 scopus 로고    scopus 로고
    • Spurious modes in finite-element discretizations of the wave equation may not be all that bad
    • Mulder WA. Spurious modes in finite-element discretizations of the wave equation may not be all that bad. Applied Numerical Mathematics 1999; 30:425-445.
    • (1999) Applied Numerical Mathematics , vol.30 , pp. 425-445
    • Mulder, W.A.1
  • 37
    • 85013126603 scopus 로고
    • Spectral methods for problems in complex geometries
    • Orszag SA. Spectral methods for problems in complex geometries. Journal of Computational Physics 1980; 37:70-92.
    • (1980) Journal of Computational Physics , vol.37 , pp. 70-92
    • Orszag, S.A.1
  • 41
    • 0024917277 scopus 로고
    • Spectral element methods for the incompressible Navier-Stokes equations
    • Noor AK, Oden JT (eds). The American Society of Mechanical Engineers: New York
    • Maday Y, Patera AT. Spectral element methods for the incompressible Navier-Stokes equations. In State-of-the-Art Surveys on Computational Mechanics, Noor AK, Oden JT (eds). The American Society of Mechanical Engineers: New York, 1989; 71-142.
    • (1989) State-of-the-Art Surveys on Computational Mechanics , pp. 71-142
    • Maday, Y.1    Patera, A.T.2
  • 42
    • 0031815577 scopus 로고    scopus 로고
    • The spectral element method: An efficient tool to simulate the seismic response of 2D and 3D geological structures
    • Komatitsch D, Vilotte JP. The spectral element method: an efficient tool to simulate the seismic response of 2D and 3D geological structures. Bulletin of the Seismological Society of America 1998; 88(2):368-392.
    • (1998) Bulletin of the Seismological Society of America , vol.88 , Issue.2 , pp. 368-392
    • Komatitsch, D.1    Vilotte, J.P.2
  • 44
    • 0030239417 scopus 로고    scopus 로고
    • Three-dimensional mixed explicit-implicit generalized galerkin spectral element methods for high-speed turbulent compressible flows
    • Yoon KT, Chung TJ. Three-dimensional mixed explicit-implicit generalized galerkin spectral element methods for high-speed turbulent compressible flows. Computer Methods in Applied Mechanics and Engineering 1996; 135:343-367.
    • (1996) Computer Methods in Applied Mechanics and Engineering , vol.135 , pp. 343-367
    • Yoon, K.T.1    Chung, T.J.2
  • 45
    • 0000807869 scopus 로고    scopus 로고
    • The Lagrange-Galerkin spectral element method on unstructured quadrilateral grids
    • Giraldo FX. The Lagrange-Galerkin spectral element method on unstructured quadrilateral grids. Journal of Computational Physics 1998; 147:114-146.
    • (1998) Journal of Computational Physics , vol.147 , pp. 114-146
    • Giraldo, F.X.1
  • 46
    • 0025449406 scopus 로고
    • Analysis and application of a parallel spectral element method for the solution of the Navier-Stokes equations
    • Fischer PF. Analysis and application of a parallel spectral element method for the solution of the Navier-Stokes equations. Computer Methods in Applied Mechanics and Engineering 1990; 80:483-491.
    • (1990) Computer Methods in Applied Mechanics and Engineering , vol.80 , pp. 483-491
    • Fischer, P.F.1
  • 47
    • 48549109395 scopus 로고
    • A spectral element method for fluid dynamics: Laminar flow in a channel expansion
    • Patera AT. A spectral element method for fluid dynamics: laminar flow in a channel expansion. Journal of Computational Physics 1984; 54:468-488.
    • (1984) Journal of Computational Physics , vol.54 , pp. 468-488
    • Patera, A.T.1
  • 48
    • 0022659813 scopus 로고
    • Numerical investigation of incompressible flow in grooved channels. Part 1. Stability and self-sustained oscillations
    • Ghaddar NK, Korczak KZ, Mikic BB, Patera AT. Numerical investigation of incompressible flow in grooved channels. Part 1. Stability and self-sustained oscillations. Journal of Fluid Mechanics 1986; 163:99-127.
    • (1986) Journal of Fluid Mechanics , vol.163 , pp. 99-127
    • Ghaddar, N.K.1    Korczak, K.Z.2    Mikic, B.B.3    Patera, A.T.4
  • 49
    • 0000113292 scopus 로고
    • Low and high order finite-element method: Experience in seismic modeling
    • Padovani E, Priolo E, Seriani G. Low and high order finite-element method: experience in seismic modeling. Journal of Computational Acoustics 1994; 2(4):371-422.
    • (1994) Journal of Computational Acoustics , vol.2 , Issue.4 , pp. 371-422
    • Padovani, E.1    Priolo, E.2    Seriani, G.3
  • 50
    • 0028123819 scopus 로고
    • Numerical simulation of interface waves by high-order spectral modeling techniques
    • Priolo E, Carcione JM, Seriani G. Numerical simulation of interface waves by high-order spectral modeling techniques. Journal of the Acoustical Society of America 1994; 95(2):681-693.
    • (1994) Journal of the Acoustical Society of America , vol.95 , Issue.2 , pp. 681-693
    • Priolo, E.1    Carcione, J.M.2    Seriani, G.3
  • 51
    • 0028450299 scopus 로고
    • Spectral element method for acoustic wave simulation in heterogeneous media
    • Seriani G, Priolo E. Spectral element method for acoustic wave simulation in heterogeneous media. Finite Elements in Analysis and Design 1994; 16:337-348.
    • (1994) Finite Elements in Analysis and Design , vol.16 , pp. 337-348
    • Seriani, G.1    Priolo, E.2
  • 52
    • 0025445673 scopus 로고
    • Optimal error analysis of spectral methods with emphasis on non-constant coefficients and deformed geometries
    • Maday Y, Ronquist EM. Optimal error analysis of spectral methods with emphasis on non-constant coefficients and deformed geometries. Computer Methods in Applied Mechanics and Engineering 1990; 80:91-115.
    • (1990) Computer Methods in Applied Mechanics and Engineering , vol.80 , pp. 91-115
    • Maday, Y.1    Ronquist, E.M.2
  • 53
    • 0032053181 scopus 로고    scopus 로고
    • Load and motion transfer algorithms for fluid/structure interaction problems with non-matching discrete interfaces: Momentum and energy conservation, optimal discretization and application to aeroelasticity
    • Farhat C, Lesoinne M, LeTallec P. Load and motion transfer algorithms for fluid/structure interaction problems with non-matching discrete interfaces: momentum and energy conservation, optimal discretization and application to aeroelasticity. Computer Methods in Applied Mechanics and Engineering 1998; 157:95-114.
    • (1998) Computer Methods in Applied Mechanics and Engineering , vol.157 , pp. 95-114
    • Farhat, C.1    Lesoinne, M.2    LeTallec, P.3
  • 54
    • 0013040590 scopus 로고    scopus 로고
    • Coupling spectral and finite-elements for second order elliptic three-dimensional equations
    • Belgacem FB, Maday Y. Coupling spectral and finite-elements for second order elliptic three-dimensional equations. SIAM Journal of Numerical Analysis 1999; 36(4):1234-1263.
    • (1999) SIAM Journal of Numerical Analysis , vol.36 , Issue.4 , pp. 1234-1263
    • Belgacem, F.B.1    Maday, Y.2
  • 56
    • 0037495248 scopus 로고
    • Partitioned and adaptive algorithms for explicit time integration
    • Wunderlich W, Stein E, Bath KJ (eds). Springer: Berlin
    • Belytschko T. Partitioned and adaptive algorithms for explicit time integration. In Nonlinear Finite Element Analysis in Structural Mechanics, Wunderlich W, Stein E, Bath KJ (eds). Springer: Berlin, 1981; 572-584.
    • (1981) Nonlinear Finite Element Analysis in Structural Mechanics , pp. 572-584
    • Belytschko, T.1
  • 60
    • 4143119341 scopus 로고    scopus 로고
    • Personal communication, May
    • Fischer PF. Personal communication, May 2002.
    • (2002)
    • Fischer, P.F.1
  • 62
    • 0019228364 scopus 로고
    • A family of early-time approximations for fluid-structure interaction
    • Felippa CA. A family of early-time approximations for fluid-structure interaction. Journal of Applied Mechanics 1980; 47:703-708.
    • (1980) Journal of Applied Mechanics , vol.47 , pp. 703-708
    • Felippa, C.A.1
  • 64
    • 0020862818 scopus 로고
    • An overview of semidiscretization and time integration procedures
    • Belytschko T, Hughes TJR (eds). North-Holland, Amsterdam
    • Belytschko T. An overview of semidiscretization and time integration procedures. In Computational Methods for Transient Analysis, Belytschko T, Hughes TJR (eds). North-Holland, Amsterdam, 1983.
    • (1983) Computational Methods for Transient Analysis
    • Belytschko, T.1
  • 66
    • 0021444144 scopus 로고
    • An objective error measure for the comparison of calculated and measured transient response histories
    • Geers TL. An objective error measure for the comparison of calculated and measured transient response histories. The Shock and Vibration Bulletin 1984; 54:99-107.
    • (1984) The Shock and Vibration Bulletin , vol.54 , pp. 99-107
    • Geers, T.L.1
  • 68
    • 0027528416 scopus 로고
    • Excitation of a fluid-filled, submerged spherical shell by a transient acoustic wave
    • Zhang P, Geers TL. Excitation of a fluid-filled, submerged spherical shell by a transient acoustic wave. Journal of the Acoustical Society of America 1993; 93(2):696-705.
    • (1993) Journal of the Acoustical Society of America , vol.93 , Issue.2 , pp. 696-705
    • Zhang, P.1    Geers, T.L.2
  • 69
    • 0004983996 scopus 로고
    • A computer program for a canonical problem in underwater shock
    • Geers TL, Ju T. A computer program for a canonical problem in underwater shock. Shock and Vibration 1994; 1(4):331-337.
    • (1994) Shock and Vibration , vol.1 , Issue.4 , pp. 331-337
    • Geers, T.L.1    Ju, T.2
  • 70
    • 0033296173 scopus 로고    scopus 로고
    • Response of empty and fluid-filled, submerged spherical shells to plane and spherical, step-exponential acoustic waves
    • Sprague MA, Geers TL. Response of empty and fluid-filled, submerged spherical shells to plane and spherical, step-exponential acoustic waves. Shock and Vibration 1999; 6:147-157.
    • (1999) Shock and Vibration , vol.6 , pp. 147-157
    • Sprague, M.A.1    Geers, T.L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.