메뉴 건너뛰기




Volumn 80, Issue 4, 2009, Pages 860-873

Boussinesq systems in two space dimensions over a variable bottom for the generation and propagation of tsunami waves

Author keywords

Boussinesq systems; Galerkin finite element method; Shallow water equations; Tsunami waves

Indexed keywords

BOUSSINESQ SYSTEM; GALERKIN; GALERKIN-FINITE ELEMENT METHOD; SHALLOW WATER EQUATIONS; TSUNAMI WAVES;

EID: 70649104602     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.matcom.2009.08.029     Document Type: Article
Times cited : (47)

References (33)
  • 1
    • 0009442696 scopus 로고
    • Solitary waves and other phenomena associated with model equations for long waves
    • Bona J.L. Solitary waves and other phenomena associated with model equations for long waves. Fluid Dynam. Trans. 10 (1980) 77-111
    • (1980) Fluid Dynam. Trans. , vol.10 , pp. 77-111
    • Bona, J.L.1
  • 2
    • 0000327541 scopus 로고    scopus 로고
    • A Boussinesq system for two-way propagation of nonlinear dispersive waves
    • Bona J.L., and Chen M. A Boussinesq system for two-way propagation of nonlinear dispersive waves. Physica D 116 (1998) 191-224
    • (1998) Physica D , vol.116 , pp. 191-224
    • Bona, J.L.1    Chen, M.2
  • 3
    • 0011913755 scopus 로고    scopus 로고
    • Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. I. Derivation and Linear Theory
    • Bona J.L., Chen M., and Saut J.-C. Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. I. Derivation and Linear Theory. J. Nonlinear Sci. 12 (2002) 283-318
    • (2002) J. Nonlinear Sci. , vol.12 , pp. 283-318
    • Bona, J.L.1    Chen, M.2    Saut, J.-C.3
  • 4
    • 2442660478 scopus 로고    scopus 로고
    • Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. II. The nonlinear theory
    • Bona J.L., Chen M., and Saut J.-C. Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. II. The nonlinear theory. Nonlinearity 17 (2004) 925-952
    • (2004) Nonlinearity , vol.17 , pp. 925-952
    • Bona, J.L.1    Chen, M.2    Saut, J.-C.3
  • 6
    • 34948841874 scopus 로고    scopus 로고
    • Influence of bottom topography on long water waves
    • Chazel F. Influence of bottom topography on long water waves. Math. Model. Num. Anal. 41 (2007) 771-799
    • (2007) Math. Model. Num. Anal. , vol.41 , pp. 771-799
    • Chazel, F.1
  • 7
    • 0037434576 scopus 로고    scopus 로고
    • Equations for bi-directional waves over an uneven bottom
    • Chen M. Equations for bi-directional waves over an uneven bottom. Math. Comput. Simul. 62 (2003) 3-9
    • (2003) Math. Comput. Simul. , vol.62 , pp. 3-9
    • Chen, M.1
  • 8
    • 62649115055 scopus 로고    scopus 로고
    • Numerical investigation of a two-dimensional Boussinesq system
    • Chen M. Numerical investigation of a two-dimensional Boussinesq system. Discrete Contin. Dynam. Syst. 23 (2009) 1169-1190
    • (2009) Discrete Contin. Dynam. Syst. , vol.23 , pp. 1169-1190
    • Chen, M.1
  • 9
    • 84883168105 scopus 로고    scopus 로고
    • Theory and numerical analysis of Boussinesq systems: a review
    • Kampanis N.A., Dougalis V.A., and Ekaterinaris J.A. (Eds), CRC Press
    • Dougalis V.A., and Mitsotakis D.E. Theory and numerical analysis of Boussinesq systems: a review. In: Kampanis N.A., Dougalis V.A., and Ekaterinaris J.A. (Eds). Effective Computational Methods in Wave Propagation (2008), CRC Press 63-110
    • (2008) Effective Computational Methods in Wave Propagation , pp. 63-110
    • Dougalis, V.A.1    Mitsotakis, D.E.2
  • 10
    • 35748975954 scopus 로고    scopus 로고
    • On some Boussinesq systems in two space dimensions: theory and numerical analysis, ESAIM
    • Dougalis V.A., Mitsotakis D.E., and Saut J.-C. On some Boussinesq systems in two space dimensions: theory and numerical analysis, ESAIM. Math. Model. Num. Anal. 41 (2007) 825-854
    • (2007) Math. Model. Num. Anal. , vol.41 , pp. 825-854
    • Dougalis, V.A.1    Mitsotakis, D.E.2    Saut, J.-C.3
  • 11
    • 62649104779 scopus 로고    scopus 로고
    • On initial-boundary value problems for a Boussinesq system of BBM-BBM type in a plane domain
    • Dougalis V.A., Mitsotakis D.E., and Saut J.-C. On initial-boundary value problems for a Boussinesq system of BBM-BBM type in a plane domain. Discrete Contin. Dynam. Syst. 23 (2009) 1191-1204
    • (2009) Discrete Contin. Dynam. Syst. , vol.23 , pp. 1191-1204
    • Dougalis, V.A.1    Mitsotakis, D.E.2    Saut, J.-C.3
  • 12
    • 70649101551 scopus 로고    scopus 로고
    • Tsunami generation by dynamic displacement of sea bed due to dip-slip faulting
    • Dutykh D., and Dias F. Tsunami generation by dynamic displacement of sea bed due to dip-slip faulting. Math. Comput. Simul. 80 (2009) 837-848
    • (2009) Math. Comput. Simul. , vol.80 , pp. 837-848
    • Dutykh, D.1    Dias, F.2
  • 13
    • 35548942232 scopus 로고    scopus 로고
    • Dissipative Boussinesq equations
    • Dutykh D., and Dias F. Dissipative Boussinesq equations. C. R. Mecanique 335 (2007) 559-583
    • (2007) C. R. Mecanique , vol.335 , pp. 559-583
    • Dutykh, D.1    Dias, F.2
  • 14
    • 84892359394 scopus 로고    scopus 로고
    • Water waves generated by a moving bottom
    • Anjan K. (Ed), Springer
    • Dutykh D., and Dias F. Water waves generated by a moving bottom. In: Anjan K. (Ed). Tsunami and Nonlinear waves (2007), Springer 65-95
    • (2007) Tsunami and Nonlinear waves , pp. 65-95
    • Dutykh, D.1    Dias, F.2
  • 16
    • 0031711673 scopus 로고    scopus 로고
    • Numerical simulation of the 1969 Portuguese tsunami by a finite element method
    • Guesmia M., Heinrich P., and Mariotti C. Numerical simulation of the 1969 Portuguese tsunami by a finite element method. Nat. Hazard 17 (1998) 31-46
    • (1998) Nat. Hazard , vol.17 , pp. 31-46
    • Guesmia, M.1    Heinrich, P.2    Mariotti, C.3
  • 17
    • 84975987983 scopus 로고
    • A note on tsunamis: their generation and propagation in an ocean of uniform depth
    • Hammack J.L. A note on tsunamis: their generation and propagation in an ocean of uniform depth. J. Fluid Mech. 60 (1973) 769-799
    • (1973) J. Fluid Mech. , vol.60 , pp. 769-799
    • Hammack, J.L.1
  • 18
    • 34250336178 scopus 로고    scopus 로고
    • Comparison between three-dimensional linear and nonlinear tsunami generation models
    • Kervella Y., Dutykh D., and Dias F. Comparison between three-dimensional linear and nonlinear tsunami generation models. Theor. Comput. Fluid Dynam. 21 (2007) 245-269
    • (2007) Theor. Comput. Fluid Dynam. , vol.21 , pp. 245-269
    • Kervella, Y.1    Dutykh, D.2    Dias, F.3
  • 19
    • 0141958729 scopus 로고    scopus 로고
    • Field survey and numerical simulations: a review of the 1998 Papua New Guinea tsunami
    • Lynett P.J., Borrero J.C., Liu P.L.-F., and Synolakis C.E. Field survey and numerical simulations: a review of the 1998 Papua New Guinea tsunami. Pure Appl. Geophys. 160 (2003) 2119-2146
    • (2003) Pure Appl. Geophys. , vol.160 , pp. 2119-2146
    • Lynett, P.J.1    Borrero, J.C.2    Liu, P.L.-F.3    Synolakis, C.E.4
  • 20
    • 0026191546 scopus 로고
    • A new form of the Boussinesq equations with improved linear dispersion characteristics
    • Madsen P.A., Murray R., and Sørensen O.R. A new form of the Boussinesq equations with improved linear dispersion characteristics. Coastal Eng. 15 (1991) 371-388
    • (1991) Coastal Eng. , vol.15 , pp. 371-388
    • Madsen, P.A.1    Murray, R.2    Sørensen, O.R.3
  • 21
    • 0027007549 scopus 로고
    • A new form of the Boussinesq equations with improved linear dispersion characteristics. Part 2. A slow-varying bathymetry
    • Madsen P.A., and Sørensen O.R. A new form of the Boussinesq equations with improved linear dispersion characteristics. Part 2. A slow-varying bathymetry. Coastal Eng. 18 (1992) 183-204
    • (1992) Coastal Eng. , vol.18 , pp. 183-204
    • Madsen, P.A.1    Sørensen, O.R.2
  • 22
    • 0027789687 scopus 로고
    • Alternative form of Boussinesq equations for nearshore wave propagationy
    • Nwogu O. Alternative form of Boussinesq equations for nearshore wave propagationy. J. Waterway Port Coast. Ocean Eng. 119 (1993) 618-638
    • (1993) J. Waterway Port Coast. Ocean Eng. , vol.119 , pp. 618-638
    • Nwogu, O.1
  • 23
    • 0000538790 scopus 로고
    • Surface deformation due to shear and tensile faults in a half space
    • Okada Y. Surface deformation due to shear and tensile faults in a half space. Bull. Seism. Soc. Am. 75 (1985) 1135-1154
    • (1985) Bull. Seism. Soc. Am. , vol.75 , pp. 1135-1154
    • Okada, Y.1
  • 24
    • 0027095145 scopus 로고
    • Internal deformation due to shear and tensile faults in a half-space
    • Okada Y. Internal deformation due to shear and tensile faults in a half-space. Bull. Seism. Soc. Am. 82 (1992) 1018-1040
    • (1992) Bull. Seism. Soc. Am. , vol.82 , pp. 1018-1040
    • Okada, Y.1
  • 25
    • 84958426983 scopus 로고
    • Long waves on a beach
    • Peregrine D.H. Long waves on a beach. J. Fluid Mech. 27 (1967) 815-827
    • (1967) J. Fluid Mech. , vol.27 , pp. 815-827
    • Peregrine, D.H.1
  • 27
    • 0029416213 scopus 로고
    • Further enhancements of Boussinesq-type equations
    • Schäffer H.A., and Madsen P.A. Further enhancements of Boussinesq-type equations. Coast. Eng. 26 (1995) 1-14
    • (1995) Coast. Eng. , vol.26 , pp. 1-14
    • Schäffer, H.A.1    Madsen, P.A.2
  • 28
    • 84940605935 scopus 로고    scopus 로고
    • Triangle: engineering a 2D quality mesh generator and Delaunay triangulator
    • Ming L.C., and Manocha D. (Eds), Springer, New York
    • Shewchuk J.R. Triangle: engineering a 2D quality mesh generator and Delaunay triangulator. In: Ming L.C., and Manocha D. (Eds). Applied Computational Geometry (1996), Springer, New York 203-222
    • (1996) Applied Computational Geometry , pp. 203-222
    • Shewchuk, J.R.1
  • 30
    • 0029502198 scopus 로고
    • Modeling of breaking and non-breaking long-wave evolution and run-up using VTCS-2
    • Titov V.V., and Synolakis C.E. Modeling of breaking and non-breaking long-wave evolution and run-up using VTCS-2. J. Waterway Port Coast. Ocean Eng. ASCE 121 (1995) 308-316
    • (1995) J. Waterway Port Coast. Ocean Eng. ASCE , vol.121 , pp. 308-316
    • Titov, V.V.1    Synolakis, C.E.2
  • 31
    • 0011055958 scopus 로고    scopus 로고
    • Numerical modeling of 3-D long wave runup using VTCS-3
    • Liu P., Yeh H., and Synolakis C. (Eds), World Scientific, Singapore
    • Titov V.V., and Synolakis C.E. Numerical modeling of 3-D long wave runup using VTCS-3. In: Liu P., Yeh H., and Synolakis C. (Eds). Long Wave Runup Models (1996), World Scientific, Singapore 242-248
    • (1996) Long Wave Runup Models , pp. 242-248
    • Titov, V.V.1    Synolakis, C.E.2
  • 33
    • 0019372058 scopus 로고
    • Long waves in ocean and coastal waters
    • Wu T.Y. Long waves in ocean and coastal waters. Proc. Am. Soc. Civil Eng. 107 (1981) 501-522
    • (1981) Proc. Am. Soc. Civil Eng. , vol.107 , pp. 501-522
    • Wu, T.Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.