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Volumn 65, Issue , 2013, Pages 1-10

Numerical modeling of long waves in shallow water using LRBF-DQ and hybrid DQ/LRBF-DQ

Author keywords

Differential quadrature; Hybrid methods; Local RBF based differential quadrature; Oresund strait; Shallow water

Indexed keywords

COMPUTATIONAL ALGORITHM; COMPUTATIONAL COSTS; D-Q METHODS; DENMARK; DIFFERENTIAL QUADRATURE; DIFFERENTIAL QUADRATURE METHODS; HYBRID METHOD; IRREGULAR DOMAINS; KRONECKER DELTA FUNCTIONS; LOCAL RADIAL BASIS FUNCTION-BASED DIFFERENTIAL QUADRATURES; LONG WAVES; MESHFREE; ORESUND STRAIT; SHALLOW WATER EQUATIONS; SHALLOW WATERS; SHAPE PARAMETERS; WATER DEPTH;

EID: 84874800922     PISSN: 14635003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ocemod.2013.01.006     Document Type: Article
Times cited : (19)

References (39)
  • 1
    • 77952955972 scopus 로고    scopus 로고
    • A multilevel method for finite volume discretization of the two-dimensional nonlinear shallow-water equations. Ocean Model
    • Adamy, K., Bousquet, A., Faure, S., Laminie, J., Temam, R., 2010. A multilevel method for finite volume discretization of the two-dimensional nonlinear shallow-water equations. Ocean Model. 33(3-4), 235-256.
    • (2010) , vol.33 , Issue.3-4 , pp. 235-256
    • Adamy, K.1    Bousquet, A.2    Faure, S.3    Laminie, J.4    Temam, R.5
  • 2
    • 0001581047 scopus 로고
    • Differential quadrature and long term integration
    • Bellman R., Casti J. Differential quadrature and long term integration. J. Math. Anal. Appl. 1971, 34:235-238.
    • (1971) J. Math. Anal. Appl. , vol.34 , pp. 235-238
    • Bellman, R.1    Casti, J.2
  • 3
    • 0002800312 scopus 로고
    • Differential quadrature: a technique for the rapid solution of nonlinear partial differential equations
    • Bellman R., Kashef B.G., Casti J. Differential quadrature: a technique for the rapid solution of nonlinear partial differential equations. J. Comput. Phys. 1972, 10:40-52.
    • (1972) J. Comput. Phys. , vol.10 , pp. 40-52
    • Bellman, R.1    Kashef, B.G.2    Casti, J.3
  • 5
    • 51249114776 scopus 로고    scopus 로고
    • Solving shallow-water systems in 2D domains using finite volume methods and multimedia SSE instructions
    • Castro M.J., García-Rodríguez J.A., González-Vida J.M., Parés C. Solving shallow-water systems in 2D domains using finite volume methods and multimedia SSE instructions. J. Comput. Appl. Math. 2008, 221(1):16-32.
    • (2008) J. Comput. Appl. Math. , vol.221 , Issue.1 , pp. 16-32
    • Castro, M.J.1    García-Rodríguez, J.A.2    González-Vida, J.M.3    Parés, C.4
  • 6
    • 56949088800 scopus 로고    scopus 로고
    • A mixed discontinuous/continuous finite element pair for shallow-water ocean modelling
    • Cotter C.J., Ham D.A., Pain C.C. A mixed discontinuous/continuous finite element pair for shallow-water ocean modelling. Ocean Model. 2009, 26(1-2):86-90.
    • (2009) Ocean Model. , vol.26 , Issue.1-2 , pp. 86-90
    • Cotter, C.J.1    Ham, D.A.2    Pain, C.C.3
  • 7
    • 79551483218 scopus 로고    scopus 로고
    • Meshless method for shallow water equations with free surface flow
    • Darbani M., Ouahsine A., Villon P., Naceur H., Smaoui H. Meshless method for shallow water equations with free surface flow. Appl. Math. Comput. 2010, 217(11):5113-5124.
    • (2010) Appl. Math. Comput. , vol.217 , Issue.11 , pp. 5113-5124
    • Darbani, M.1    Ouahsine, A.2    Villon, P.3    Naceur, H.4    Smaoui, H.5
  • 8
    • 36248943059 scopus 로고    scopus 로고
    • A two-dimensional finite volume hydrodynamic model for coastal areas: model development and validation
    • Daoud A.H., Rakha K.A., Abul-azm A.G. A two-dimensional finite volume hydrodynamic model for coastal areas: model development and validation. Ocean Eng. 2008, 35:150-164.
    • (2008) Ocean Eng. , vol.35 , pp. 150-164
    • Daoud, A.H.1    Rakha, K.A.2    Abul-azm, A.G.3
  • 9
    • 84874803755 scopus 로고    scopus 로고
    • DHI, M21HD: Scientific Documentation, MIKE21 Flow Manual, Hydrodynamic module, Danish Hydraulic Institute, Horsholm, Denmark.
    • DHI, 2005. M21HD: Scientific Documentation, MIKE21 Flow Manual, Hydrodynamic module, Danish Hydraulic Institute, Horsholm, Denmark.
    • (2005)
  • 10
    • 0034603203 scopus 로고    scopus 로고
    • An element-free Galerkin method for simulation of stationary two-dimensional shallow water flows in rivers
    • Du C. An element-free Galerkin method for simulation of stationary two-dimensional shallow water flows in rivers. Comput. Method. Appl. M. 2000, 182(1-2):89-107.
    • (2000) Comput. Method. Appl. M. , vol.182 , Issue.1-2 , pp. 89-107
    • Du, C.1
  • 11
    • 33846288234 scopus 로고    scopus 로고
    • Meshfree methods and their comparisons
    • Gu Y.T. Meshfree methods and their comparisons. Int. J. Comput. Methods 2005, 2(4):477-515.
    • (2005) Int. J. Comput. Methods , vol.2 , Issue.4 , pp. 477-515
    • Gu, Y.T.1
  • 12
    • 14844307661 scopus 로고    scopus 로고
    • Meshless methods coupled with other numerical methods
    • Gu Y.T., Liu G.R. Meshless methods coupled with other numerical methods. Tsighua Sci. Tec. 2005, 2:8-15.
    • (2005) Tsighua Sci. Tec. , vol.2 , pp. 8-15
    • Gu, Y.T.1    Liu, G.R.2
  • 13
    • 0028007676 scopus 로고
    • The method of differential quadrature and its application to the approximate solution of ocean engineering problems
    • Gutierrez R.H., Laura P.A.A., Rossi R.E. The method of differential quadrature and its application to the approximate solution of ocean engineering problems. Ocean Eng. 1994, 21(1):57-66.
    • (1994) Ocean Eng. , vol.21 , Issue.1 , pp. 57-66
    • Gutierrez, R.H.1    Laura, P.A.A.2    Rossi, R.E.3
  • 14
    • 14744289606 scopus 로고    scopus 로고
    • An efficient Eulerian finite element method for the shallow water equations
    • Hanert E., Roux D.L., Legat V., Deleersnijder E. An efficient Eulerian finite element method for the shallow water equations. Ocean Model. 2005, 10(1-2):115-136.
    • (2005) Ocean Model. , vol.10 , Issue.1-2 , pp. 115-136
    • Hanert, E.1    Roux, D.L.2    Legat, V.3    Deleersnijder, E.4
  • 15
    • 33746237791 scopus 로고    scopus 로고
    • Numerical modeling of long waves in shallow water using Incremental Differential Quadrature Method
    • Hashemi M.R., Abedini M.J., Malekzadeh P. Numerical modeling of long waves in shallow water using Incremental Differential Quadrature Method. Ocean Eng. 2006, 33:1749-1764.
    • (2006) Ocean Eng. , vol.33 , pp. 1749-1764
    • Hashemi, M.R.1    Abedini, M.J.2    Malekzadeh, P.3
  • 16
    • 33847414627 scopus 로고    scopus 로고
    • A differential quadrature analysis of unsteady open channel flow
    • Hashemi M.R., Abedini M.J., Malekzadeh P. A differential quadrature analysis of unsteady open channel flow. Appl. Math. Model. 2007, 31:1594-1608.
    • (2007) Appl. Math. Model. , vol.31 , pp. 1594-1608
    • Hashemi, M.R.1    Abedini, M.J.2    Malekzadeh, P.3
  • 17
    • 51749120580 scopus 로고    scopus 로고
    • Tidal and surge modeling using differential quadrature: A case study in the Bristol Channel
    • Hashemi M.R., Abedini M.J., Neill S.P., Malekzadeh P. Tidal and surge modeling using differential quadrature: A case study in the Bristol Channel. Coast. Eng. 2008, 55:811-819.
    • (2008) Coast. Eng. , vol.55 , pp. 811-819
    • Hashemi, M.R.1    Abedini, M.J.2    Neill, S.P.3    Malekzadeh, P.4
  • 19
    • 0033133932 scopus 로고    scopus 로고
    • Multiquadric solution for shallow water equations. J. Hydraul. Eng. ASCE
    • Hon, Y. C., Cheung, K. F., Mao, X. Z., Kansa E. J., 1999. Multiquadric solution for shallow water equations. J. Hydraul. Eng. ASCE 125 (5), 524-533.
    • (1999) , vol.125 , Issue.5 , pp. 524-533
    • Hon, Y.C.1    Cheung, K.F.2    Mao, X.Z.3    Kansa, E.J.4
  • 20
    • 78649633069 scopus 로고    scopus 로고
    • A discontinuous Galerkin algorithm for the two-dimensional shallow water equations
    • Kesserwani G., Liang Q. A discontinuous Galerkin algorithm for the two-dimensional shallow water equations. Comput. Method. Appl. M. 2010, 199(49-52):3356-3368.
    • (2010) Comput. Method. Appl. M. , vol.199 , Issue.49-52 , pp. 3356-3368
    • Kesserwani, G.1    Liang, Q.2
  • 21
    • 84860399468 scopus 로고    scopus 로고
    • A hybrid DQ/LMQRBF-DQ approach for numerical solution of Poisson-type and Burger's equations in irregular domain
    • Khoshfetrat A., Abedini M.J. A hybrid DQ/LMQRBF-DQ approach for numerical solution of Poisson-type and Burger's equations in irregular domain. Appl. Math. Model. 2012, 36:1885-1901.
    • (2012) Appl. Math. Model. , vol.36 , pp. 1885-1901
    • Khoshfetrat, A.1    Abedini, M.J.2
  • 22
    • 9644295915 scopus 로고    scopus 로고
    • Finite differences method for shallow water equations in a class of discontinuous functions
    • Rasulov M., Aslan Z., Pakdil O. Finite differences method for shallow water equations in a class of discontinuous functions. Appl. Math. Comput. 2005, 160(2):343-353.
    • (2005) Appl. Math. Comput. , vol.160 , Issue.2 , pp. 343-353
    • Rasulov, M.1    Aslan, Z.2    Pakdil, O.3
  • 23
    • 33646813984 scopus 로고    scopus 로고
    • Boundary reduction technique and triangular differential quadrature domain decomposition method for polygonal region
    • Ren Y., Wu X. Boundary reduction technique and triangular differential quadrature domain decomposition method for polygonal region. Eng. Anal. Bound. Elem. 2006, 30:435-440.
    • (2006) Eng. Anal. Bound. Elem. , vol.30 , pp. 435-440
    • Ren, Y.1    Wu, X.2
  • 24
    • 17744388977 scopus 로고    scopus 로고
    • A corrected smooth particle hydrodynamics formulation of the shallow-water equations
    • Rodriguez-Paz M., Bonet J. A corrected smooth particle hydrodynamics formulation of the shallow-water equations. Comput. Struct. 2005, 83(17-18):1396-1410.
    • (2005) Comput. Struct. , vol.83 , Issue.17-18 , pp. 1396-1410
    • Rodriguez-Paz, M.1    Bonet, J.2
  • 26
    • 0031207279 scopus 로고    scopus 로고
    • Fourier expansion-based differential quadrature and its application to Helmholtz eigenvalue problems
    • Shu C., Chew Y.T. Fourier expansion-based differential quadrature and its application to Helmholtz eigenvalue problems. Commun. Numer Methods Eng. 1997, 13:643-653.
    • (1997) Commun. Numer Methods Eng. , vol.13 , pp. 643-653
    • Shu, C.1    Chew, Y.T.2
  • 27
    • 0031652048 scopus 로고    scopus 로고
    • Different interface approximations in multi-domain GDQ simulation of Czochralski bulk flows
    • Shu C., Chew Y.T., Liu Y. Different interface approximations in multi-domain GDQ simulation of Czochralski bulk flows. Int. J. Numer. Method. H. 1998, 8(4):424-444.
    • (1998) Int. J. Numer. Method. H. , vol.8 , Issue.4 , pp. 424-444
    • Shu, C.1    Chew, Y.T.2    Liu, Y.3
  • 28
    • 0037436111 scopus 로고    scopus 로고
    • Local radial basis function-based differential quadrature method and its application to solve two-dimensional incompressible Navier-Stokes equations
    • Shu C., Ding H., Yeo K.S. Local radial basis function-based differential quadrature method and its application to solve two-dimensional incompressible Navier-Stokes equations. Comput. Method. Appl. M. 2003, 192:941-954.
    • (2003) Comput. Method. Appl. M. , vol.192 , pp. 941-954
    • Shu, C.1    Ding, H.2    Yeo, K.S.3
  • 29
    • 0026939625 scopus 로고
    • Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stokes equations
    • Shu C., Richards B.E. Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stokes equations. Int. J. Numer. Method. Fluid. 1992, 15:791-798.
    • (1992) Int. J. Numer. Method. Fluid. , vol.15 , pp. 791-798
    • Shu, C.1    Richards, B.E.2
  • 30
    • 44649165718 scopus 로고    scopus 로고
    • Conservative arbitrary order finite difference schemes for shallow-water flows
    • Skiba Y.N., Filatov D.M. Conservative arbitrary order finite difference schemes for shallow-water flows. J. Comput. Appl. Math. 2008, 218(2):579-591.
    • (2008) J. Comput. Appl. Math. , vol.218 , Issue.2 , pp. 579-591
    • Skiba, Y.N.1    Filatov, D.M.2
  • 31
    • 68649112333 scopus 로고    scopus 로고
    • Multi-dimensional conservative semi-Lagrangian method of characteristics CIP for the shallow water equations
    • Toda K., Ogata Y., Yabe T. Multi-dimensional conservative semi-Lagrangian method of characteristics CIP for the shallow water equations. J. Comput. Phys. 2009, 228(13):4917-4944.
    • (2009) J. Comput. Phys. , vol.228 , Issue.13 , pp. 4917-4944
    • Toda, K.1    Ogata, Y.2    Yabe, T.3
  • 32
    • 78650310913 scopus 로고    scopus 로고
    • An explicit finite difference model for simulating weakly nonlinear and weakly dispersive waves over slowly varying water depth
    • Wang X., Liu P.L.-F. An explicit finite difference model for simulating weakly nonlinear and weakly dispersive waves over slowly varying water depth. Coast. Eng. 2011, 58(2):173-183.
    • (2011) Coast. Eng. , vol.58 , Issue.2 , pp. 173-183
    • Wang, X.1    Liu, P.L.-F.2
  • 33
    • 0037170718 scopus 로고    scopus 로고
    • Compactly supported radial basis functions for shallow water equations
    • Wong S.M., Hon Y.C., Golberg M.A. Compactly supported radial basis functions for shallow water equations. Appl. Math. Comput. 2002, 127(1):79-101.
    • (2002) Appl. Math. Comput. , vol.127 , Issue.1 , pp. 79-101
    • Wong, S.M.1    Hon, Y.C.2    Golberg, M.A.3
  • 34
    • 28844452402 scopus 로고    scopus 로고
    • A highly accurate linearized method for free boundary problems
    • Wu X.H., Kong W.B. A highly accurate linearized method for free boundary problems. Comput. Math. Appl. 2005, 50:1241-1250.
    • (2005) Comput. Math. Appl. , vol.50 , pp. 1241-1250
    • Wu, X.H.1    Kong, W.B.2
  • 35
    • 18744396056 scopus 로고    scopus 로고
    • Differential quadrature domain decomposition method for problems on a triangular domain
    • Wu X.H., Liu S.T. Differential quadrature domain decomposition method for problems on a triangular domain. Numer. Meth. Part. D. E. 2005, 21:574-585.
    • (2005) Numer. Meth. Part. D. E. , vol.21 , pp. 574-585
    • Wu, X.H.1    Liu, S.T.2
  • 36
    • 15344346085 scopus 로고    scopus 로고
    • Differential quadrature domain decomposition method for a class of parabolic equations
    • Wu X.H., Shen Y. Differential quadrature domain decomposition method for a class of parabolic equations. Comput. Math. Appl. 2004, 48:1819-1832.
    • (2004) Comput. Math. Appl. , vol.48 , pp. 1819-1832
    • Wu, X.H.1    Shen, Y.2
  • 37
    • 51649133223 scopus 로고
    • Hermite-Birkhoff interpolation of scattered data by radial basis function
    • Wu Z.M. Hermite-Birkhoff interpolation of scattered data by radial basis function. Approx. Theory Appl. 1992, 8:1-10.
    • (1992) Approx. Theory Appl. , vol.8 , pp. 1-10
    • Wu, Z.M.1
  • 39
    • 23244461371 scopus 로고    scopus 로고
    • A multidomain differential quadrature approach to plane elastic problems with material discontinuity
    • Zong Z., Lam K.Y., Zhang Y.Y. A multidomain differential quadrature approach to plane elastic problems with material discontinuity. Math. Comput. Model. 2005, 41:539-553.
    • (2005) Math. Comput. Model. , vol.41 , pp. 539-553
    • Zong, Z.1    Lam, K.Y.2    Zhang, Y.Y.3


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