메뉴 건너뛰기




Volumn 198, Issue 21-26, 2009, Pages 1766-1774

Dynamic p-adaptive Runge-Kutta discontinuous Galerkin methods for the shallow water equations

Author keywords

Adaptivity; Discontinuous Galerkin; Shallow water equations

Indexed keywords

ADAPTIVE GRIDS; ADAPTIVITY; COASTAL OCEANS; CONTINENTAL SHELVES; CPU TIME; DISCONTINUOUS GALERKIN; FIXED ORDERS; H REFINEMENTS; LOCAL FLOWS; NUMERICAL RESULTS; NUMERICAL SOLUTIONS; RUNGE-KUTTA DISCONTINUOUS GALERKIN METHODS; SHALLOW WATER EQUATIONS; STRONG-STABILITY PRESERVING; TIME DISCRETIZATION; TRIANGULAR GRIDS; TWO-DIMENSIONAL SHALLOW WATER EQUATIONS;

EID: 63249134383     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2009.01.007     Document Type: Article
Times cited : (61)

References (18)
  • 2
    • 0001024733 scopus 로고
    • The influence of domain size on the response characteristics of a hurricane storm-surge model
    • Blain C.A., Westerink J.J., and Luettich R.A. The influence of domain size on the response characteristics of a hurricane storm-surge model. J. Geophys. Res. 99 (1994) 18467-18479
    • (1994) J. Geophys. Res. , vol.99 , pp. 18467-18479
    • Blain, C.A.1    Westerink, J.J.2    Luettich, R.A.3
  • 3
    • 11144330928 scopus 로고    scopus 로고
    • A dynamic p-adaptive discontinuous Galerkin method for viscous flow with shocks
    • Burbeau A., and Sagaut P. A dynamic p-adaptive discontinuous Galerkin method for viscous flow with shocks. Comput. Fluids 34 (2005) 401-417
    • (2005) Comput. Fluids , vol.34 , pp. 401-417
    • Burbeau, A.1    Sagaut, P.2
  • 4
    • 0000076512 scopus 로고    scopus 로고
    • Runge-Kutta discontinuous Galerkin methods for convection-dominated problems
    • Cockburn B., and Shu C.W. Runge-Kutta discontinuous Galerkin methods for convection-dominated problems. J. Sci. Comput. 16 (2001) 173-261
    • (2001) J. Sci. Comput. , vol.16 , pp. 173-261
    • Cockburn, B.1    Shu, C.W.2
  • 5
    • 0026371189 scopus 로고    scopus 로고
    • Spectral methods on triangles and other domains
    • Dubiner M. Spectral methods on triangles and other domains. J. Sci. Comput. 6 (1998) 345-390
    • (1998) J. Sci. Comput. , vol.6 , pp. 345-390
    • Dubiner, M.1
  • 6
    • 2942574229 scopus 로고    scopus 로고
    • A triangular spectral/hp discontinuous Galerkin for modelling 2D shallow water
    • Eskilsson C., and Sherwin S.J. A triangular spectral/hp discontinuous Galerkin for modelling 2D shallow water. Int. J. Numer. Methods Fluids 45 (2004) 605-623
    • (2004) Int. J. Numer. Methods Fluids , vol.45 , pp. 605-623
    • Eskilsson, C.1    Sherwin, S.J.2
  • 7
    • 0037144878 scopus 로고    scopus 로고
    • Nodal high-order discontinuous Galerkin methods for the spherical shallow water equations
    • Giraldo F.X., Hesthaven J.S., and Warburton T. Nodal high-order discontinuous Galerkin methods for the spherical shallow water equations. J. Comput. Phys. 181 (2002) 499-525
    • (2002) J. Comput. Phys. , vol.181 , pp. 499-525
    • Giraldo, F.X.1    Hesthaven, J.S.2    Warburton, T.3
  • 8
    • 0034731842 scopus 로고    scopus 로고
    • One-dimensional finite element grids based on a localized truncation error analysis
    • Hagen S.C., Westerink J.J., and Kolar R.L. One-dimensional finite element grids based on a localized truncation error analysis. Int. J. Numer. Methods Fluids 32 (2000) 241-261
    • (2000) Int. J. Numer. Methods Fluids , vol.32 , pp. 241-261
    • Hagen, S.C.1    Westerink, J.J.2    Kolar, R.L.3
  • 9
    • 33846598544 scopus 로고    scopus 로고
    • hp discontinuous Galerkin methods for advection dominated problems in shallow water flow
    • Kubatko E.J., Westerink J.J., and Dawson C. hp discontinuous Galerkin methods for advection dominated problems in shallow water flow. Comput. Methods Appl. Mech. Engrg. 196 (2006) 437-451
    • (2006) Comput. Methods Appl. Mech. Engrg. , vol.196 , pp. 437-451
    • Kubatko, E.J.1    Westerink, J.J.2    Dawson, C.3
  • 10
    • 33847034771 scopus 로고    scopus 로고
    • Semidiscrete discontinuous Galerkin methods and stage-exceeding-order, strong-stability-preserving Runge-Kutta time discretizations
    • Kubatko E.J., Westerink J.J., and Dawson C. Semidiscrete discontinuous Galerkin methods and stage-exceeding-order, strong-stability-preserving Runge-Kutta time discretizations. J. Comput. Phys. 222 (2007) 832-848
    • (2007) J. Comput. Phys. , vol.222 , pp. 832-848
    • Kubatko, E.J.1    Westerink, J.J.2    Dawson, C.3
  • 12
    • 0004137862 scopus 로고
    • ADCIRC: An advanced three-dimensional circulation model for shelves, coasts and estuaries, in: Report 1: theory and methodology of ADCIRC-2DDI and ADCIRC-3DL
    • DRP-92-6, US Army Engineers Waterways Experiment Station, Vicksburg, MS
    • R.A. Luettich, J.J. Westerink, N.W. Scheffner, ADCIRC: an advanced three-dimensional circulation model for shelves, coasts and estuaries, in: Report 1: theory and methodology of ADCIRC-2DDI and ADCIRC-3DL, Dredging Research Program Technical Report DRP-92-6, US Army Engineers Waterways Experiment Station, Vicksburg, MS, 1992.
    • (1992) Dredging Research Program Technical Report
    • Luettich, R.A.1    Westerink, J.J.2    Scheffner, N.W.3
  • 13
    • 0027047132 scopus 로고
    • A nested-grid ocean model: with application to the simulation of meanders and eddies in the Norwegian coastal current
    • Oey L.Y., and Chen P. A nested-grid ocean model: with application to the simulation of meanders and eddies in the Norwegian coastal current. J. Geophys. Res. 97 (1992) 20063-20086
    • (1992) J. Geophys. Res. , vol.97 , pp. 20063-20086
    • Oey, L.Y.1    Chen, P.2
  • 14
    • 33750372610 scopus 로고    scopus 로고
    • An adaptive discretization of shallow-water equations based on discontinuous Galerkin methods
    • Remacle J.F., Frazao S.S., Li X., and Shephard M.S. An adaptive discretization of shallow-water equations based on discontinuous Galerkin methods. Int. J. Numer. Methods Fluids 52 (2006) 903-923
    • (2006) Int. J. Numer. Methods Fluids , vol.52 , pp. 903-923
    • Remacle, J.F.1    Frazao, S.S.2    Li, X.3    Shephard, M.S.4
  • 15
    • 32944469214 scopus 로고    scopus 로고
    • Global optimization of explicit strong-stability-preserving Runge-Kutta methods
    • Ruuth S.J. Global optimization of explicit strong-stability-preserving Runge-Kutta methods. Math. Comput. 75 (2005) 183-207
    • (2005) Math. Comput. , vol.75 , pp. 183-207
    • Ruuth, S.J.1
  • 16
    • 33646866165 scopus 로고    scopus 로고
    • Storm tide simulation in the Chesapeake Bay using an unstructured grid model
    • Shen J., Wang H., Sisson M., and Gong W. Storm tide simulation in the Chesapeake Bay using an unstructured grid model. Estuar. Coast. Shelf Sci. 68 (2006) 1-16
    • (2006) Estuar. Coast. Shelf Sci. , vol.68 , pp. 1-16
    • Shen, J.1    Wang, H.2    Sisson, M.3    Gong, W.4
  • 18
    • 0028333181 scopus 로고
    • Modeling tides in the western North-Atlantic using unstructured graded grids
    • Westerink J.J., Luettich R.A., and Muccino J.C. Modeling tides in the western North-Atlantic using unstructured graded grids. Tellus 46A (1994) 178-199
    • (1994) Tellus , vol.46 A , pp. 178-199
    • Westerink, J.J.1    Luettich, R.A.2    Muccino, J.C.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.