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Volumn 46, Issue 4, 2004, Pages 361-381

High-order boundary conditions for linearized shallow water equations with stratification, dispersion and advection

Author keywords

Artificial boundary; Auxiliary variables; Finite difference; Higdon; High order; Klein Gordon; Open boundary condition; Shallow water; Stratification; Waves

Indexed keywords

BOUNDARY CONDITIONS; FINITE DIFFERENCE METHOD; LINEAR EQUATIONS;

EID: 4744356142     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/fld.754     Document Type: Article
Times cited : (6)

References (42)
  • 2
    • 84966208271 scopus 로고
    • Absorbing boundary conditions for the numerical simulation of waves
    • Engquist B, Majda A. Absorbing boundary conditions for the numerical simulation of waves. Mathematics of Computation 1977; 31(139):629-651.
    • (1977) Mathematics of Computation , vol.31 , Issue.139 , pp. 629-651
    • Engquist, B.1    Majda, A.2
  • 3
    • 84980151986 scopus 로고
    • Radiation boundary conditions for acoustic and elastic wave calculations
    • Engquist B, Majda A. Radiation boundary conditions for acoustic and elastic wave calculations. Communications on Pure and Applied Mathematics 1979; 32:313-357.
    • (1979) Communications on Pure and Applied Mathematics , vol.32 , pp. 313-357
    • Engquist, B.1    Majda, A.2
  • 4
    • 0000893638 scopus 로고
    • A time-dependent lateral boundary scheme for limited-area primitive equation models
    • Perkey DJ, Kreitzberg CW. A time-dependent lateral boundary scheme for limited-area primitive equation models. Monthly Weather Review 1976; 104:744-755.
    • (1976) Monthly Weather Review , vol.104 , pp. 744-755
    • Perkey, D.J.1    Kreitzberg, C.W.2
  • 5
    • 84981672427 scopus 로고
    • A lateral boundary formulation for multi-level prediction models
    • Davies HC. A lateral boundary formulation for multi-level prediction models. Quarterly Journal of Royal Meteorological Society 1976; 102:405-418.
    • (1976) Quarterly Journal of Royal Meteorological Society , vol.102 , pp. 405-418
    • Davies, H.C.1
  • 7
    • 0001115236 scopus 로고    scopus 로고
    • The Naval Research Laboratory's coupled ocean/atmosphere mesoscale prediction system (COAMPS)
    • Hodur RM. The Naval Research Laboratory's coupled ocean/atmosphere mesoscale prediction system (COAMPS). Monthly Weather Review 1997; 125:1414-1430.
    • (1997) Monthly Weather Review , vol.125 , pp. 1414-1430
    • Hodur, R.M.1
  • 8
    • 28044459877 scopus 로고
    • A perfectly matched layer for the absorption of electromagnetic waves
    • Berenger J-P. A perfectly matched layer for the absorption of electromagnetic waves. Journal of Computational Physics 1994; 127:185-200.
    • (1994) Journal of Computational Physics , vol.127 , pp. 185-200
    • Berenger, J.-P.1
  • 9
    • 0030162556 scopus 로고    scopus 로고
    • Coupling of two absorbing boundary condition for 2D time-domain simulation of free surface gravity waves
    • Clement A. Coupling of two absorbing boundary condition for 2D time-domain simulation of free surface gravity waves. Journal of Computational Physics 1996; 126:139-159.
    • (1996) Journal of Computational Physics , vol.126 , pp. 139-159
    • Clement, A.1
  • 10
    • 0012578036 scopus 로고    scopus 로고
    • Far field filtering operators for suppression of reflections from artificial boundaries
    • Karni S. Far field filtering operators for suppression of reflections from artificial boundaries. SIAM Journal on Numerical Analysis 1996; 33:1014-1047.
    • (1996) SIAM Journal on Numerical Analysis , vol.33 , pp. 1014-1047
    • Karni, S.1
  • 11
  • 12
    • 0030295521 scopus 로고    scopus 로고
    • On absorbing boundary conditions for linearized Euler equations by a perfectly matched layer
    • Hu FQ. On absorbing boundary conditions for linearized Euler equations by a perfectly matched layer. Journal of Computational Physics 1996; 129:201-216.
    • (1996) Journal of Computational Physics , vol.129 , pp. 201-216
    • Hu, F.Q.1
  • 13
    • 0000167493 scopus 로고    scopus 로고
    • Perfectly matched absorbing layers for paralaxial equations
    • Collino F. Perfectly matched absorbing layers for paralaxial equations. Journal of Computational Physics 1996; 131:164-180.
    • (1996) Journal of Computational Physics , vol.131 , pp. 164-180
    • Collino, F.1
  • 14
    • 4744358847 scopus 로고    scopus 로고
    • Experience with PML boundary conditions in fluid flow computation
    • Gears TL (ed.). University of Colorado, Boulder. Kluwer Academic Press: Dordrecht, July 27-31
    • Hayder ME, Atkins HL. Experience with PML boundary conditions in fluid flow computation. In Collection of Abstract of Symposium on Computational Methods for Unbounded Domains, Gears TL (ed.). University of Colorado, Boulder. Kluwer Academic Press: Dordrecht, July 27-31, 1997.
    • (1997) Collection of Abstract of Symposium on Computational Methods for Unbounded Domains
    • Hayder, M.E.1    Atkins, H.L.2
  • 15
    • 0033169618 scopus 로고    scopus 로고
    • Towards perfectly absorbing boundary conditions for Euler equations
    • Hayder HE, Hu FQ, Hussaini MY. Towards perfectly absorbing boundary conditions for Euler equations. AIAA Journal 1999; 37(8):912-918.
    • (1999) AIAA Journal , vol.37 , Issue.8 , pp. 912-918
    • Hayder, H.E.1    Hu, F.Q.2    Hussaini, M.Y.3
  • 17
    • 3142713083 scopus 로고    scopus 로고
    • A perfectly matched layer approach to the linearized shallow water equations model
    • Navon IM, Neta B, Hussaini MY. A perfectly matched layer approach to the linearized shallow water equations model. Monthly Weather Review 2004; 132:1369-1378.
    • (2004) Monthly Weather Review , vol.132 , pp. 1369-1378
    • Navon, I.M.1    Neta, B.2    Hussaini, M.Y.3
  • 18
    • 0032137784 scopus 로고    scopus 로고
    • Numerical solution of problems on unbounded domains. A review
    • Tsynkov SV. Numerical solution of problems on unbounded domains. A Review. Applied Numerical Mathematics 1998; 27:465-532.
    • (1998) Applied Numerical Mathematics , vol.27 , pp. 465-532
    • Tsynkov, S.V.1
  • 19
    • 0033221790 scopus 로고    scopus 로고
    • Exact representations on artificial interfaces and applications in mechanics
    • Givoli D. Exact representations on artificial interfaces and applications in mechanics. Applied Mechanical Review 1999; 52:333-349.
    • (1999) Applied Mechanical Review , vol.52 , pp. 333-349
    • Givoli, D.1
  • 20
    • 85011457104 scopus 로고    scopus 로고
    • Radiation boundary conditions for the numerical simulation of waves
    • Hagstrom T. Radiation boundary conditions for the numerical simulation of waves. Acta Numerica 1999; 8: 47-106.
    • (1999) Acta Numerica , vol.8 , pp. 47-106
    • Hagstrom, T.1
  • 23
    • 0025421673 scopus 로고
    • Non-reflecting boundary conditions for elastic waves
    • Givoli D, Keller JB. Non-reflecting boundary conditions for elastic waves. Wave Motion 1990; 12:261-279.
    • (1990) Wave Motion , vol.12 , pp. 261-279
    • Givoli, D.1    Keller, J.B.2
  • 24
    • 0000766738 scopus 로고
    • High order absorbing boundary conditions for wave propagation models. Straight line boundary and corner cases
    • Kleinman R et al. (eds.), SIAM: Delaware
    • Collino F. High order absorbing boundary conditions for wave propagation models. Straight line boundary and corner cases. In Proceedings of 2nd International Conference on Mathematical & Numerical Aspects of Wave Propagation, Kleinman R et al. (eds.), SIAM: Delaware, 1993; 161-171.
    • (1993) Proceedings of 2nd International Conference on Mathematical and Numerical Aspects of Wave Propagation , pp. 161-171
    • Collino, F.1
  • 25
    • 0030209904 scopus 로고    scopus 로고
    • Nonreflecting boundary conditions for time dependent scattering
    • Grote MJ, Keller JB. Nonreflecting boundary conditions for time dependent scattering. Journal of Computational Physics 1996; 127:52-65.
    • (1996) Journal of Computational Physics , vol.127 , pp. 52-65
    • Grote, M.J.1    Keller, J.B.2
  • 27
    • 0001025850 scopus 로고
    • Conditions for complete transparency on the sphere for the three-dimensional wave equation
    • Sofronov IL. Conditions for complete transparency on the sphere for the three-dimensional wave equation. Russian Academy of Sciences Doklady Mathematics 1993; 46:397-401.
    • (1993) Russian Academy of Sciences Doklady Mathematics , vol.46 , pp. 397-401
    • Sofronov, I.L.1
  • 28
    • 0032141095 scopus 로고    scopus 로고
    • A formulation of asymptotic and exact boundary conditions using local operators
    • Hagstrom T, Hariharan SI. A formulation of asymptotic and exact boundary conditions using local operators. Applied Numerical Mathematics 1998; 27:403-416.
    • (1998) Applied Numerical Mathematics , vol.27 , pp. 403-416
    • Hagstrom, T.1    Hariharan, S.I.2
  • 29
    • 0034345543 scopus 로고    scopus 로고
    • Continued-fraction absorbing boundary conditions for the wave equation
    • Guddati MN, Tassoulas JL. Continued-fraction absorbing boundary conditions for the wave equation. Journal of Computational Acoustics 2000; 8:139-156.
    • (2000) Journal of Computational Acoustics , vol.8 , pp. 139-156
    • Guddati, M.N.1    Tassoulas, J.L.2
  • 30
    • 0000797694 scopus 로고    scopus 로고
    • High-order non-reflecting boundary conditions without high-order derivatives
    • Givoli D. High-order non-reflecting boundary conditions without high-order derivatives. Journal of Computational Physics 2001; 170:849-870.
    • (2001) Journal of Computational Physics , vol.170 , pp. 849-870
    • Givoli, D.1
  • 31
    • 84966222177 scopus 로고
    • Absorbing boundary conditions for difference approximations to the multi-dimensional wave equation
    • Higdon RL. Absorbing boundary conditions for difference approximations to the multi-dimensional wave equation. Mathematics of Computation 1986; 47:437-459.
    • (1986) Mathematics of Computation , vol.47 , pp. 437-459
    • Higdon, R.L.1
  • 32
    • 0002618740 scopus 로고
    • Numerical absorbing boundary conditions for the wave equation
    • Higdon RL. Numerical absorbing boundary conditions for the wave equation. Mathematics of Computation 1987; 49:65-90.
    • (1987) Mathematics of Computation , vol.49 , pp. 65-90
    • Higdon, R.L.1
  • 33
    • 0025476463 scopus 로고
    • Radiation boundary conditions for elastic wave propagation
    • Higdon RL. Radiation boundary conditions for elastic wave propagation. SIAM Journal on Numerical Analysis 1990; 27:831-870.
    • (1990) SIAM Journal on Numerical Analysis , vol.27 , pp. 831-870
    • Higdon, R.L.1
  • 34
    • 0025925925 scopus 로고
    • Absorbing boundary conditions for elastic waves
    • Higdon RL. Absorbing boundary conditions for elastic waves. Geophysics 1991; 56:231-241.
    • (1991) Geophysics , vol.56 , pp. 231-241
    • Higdon, R.L.1
  • 35
    • 0028374972 scopus 로고
    • Radiation boundary conditions for dispersive waves
    • Higdon RL. Radiation boundary conditions for dispersive waves. SIAM Journal on Numerical Analysis 1994; 31:64-100.
    • (1994) SIAM Journal on Numerical Analysis , vol.31 , pp. 64-100
    • Higdon, R.L.1
  • 37
    • 0037370956 scopus 로고    scopus 로고
    • High-order non-reflecting boundary conditions for dispersive waves
    • Givoli D, Neta B. High-order non-reflecting boundary conditions for dispersive waves. Wave Motion 2003; 37:257-271.
    • (2003) Wave Motion , vol.37 , pp. 257-271
    • Givoli, D.1    Neta, B.2
  • 38
    • 0037456944 scopus 로고    scopus 로고
    • High-order non-reflecting boundary scheme for time-dependent waves
    • Givoli D, Neta B. High-order non-reflecting boundary scheme for time-dependent waves. Journal of Computational Physics 2003; 186:24-46.
    • (2003) Journal of Computational Physics , vol.186 , pp. 24-46
    • Givoli, D.1    Neta, B.2
  • 42
    • 0000949380 scopus 로고
    • Absorbing boundary conditions for acoustic and elastic waves in stratified media
    • Higdon RL. Absorbing boundary conditions for acoustic and elastic waves in stratified media. Journal of Computational Physics 1992; 101:386-418.
    • (1992) Journal of Computational Physics , vol.101 , pp. 386-418
    • Higdon, R.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.