메뉴 건너뛰기




Volumn 22-23, Issue , 2005, Pages 245-267

A discontinuous Galerkin method for three-dimensional shallow water equations

Author keywords

Discontinuous Galerkin method; Free surface; Shallow water equations

Indexed keywords

ALGORITHMS; FINITE ELEMENT METHOD; HYDROSTATIC PRESSURE; MATHEMATICAL MODELS; NAVIER STOKES EQUATIONS; PROBLEM SOLVING;

EID: 17444424595     PISSN: 08857474     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10915-004-4139-3     Document Type: Article
Times cited : (54)

References (18)
  • 2
    • 0036149118 scopus 로고    scopus 로고
    • A discontinuous Galerkin method for two-dimensional flow and transport in shallow water
    • Aizinger, A., and Dawson, C. (2002). A discontinuous Galerkin method for two-dimensional flow and transport in shallow water. Adv. Water Resour. 25, 67-84.
    • (2002) Adv. Water Resour. , vol.25 , pp. 67-84
    • Aizinger, A.1    Dawson, C.2
  • 3
    • 0034651246 scopus 로고    scopus 로고
    • An unstructured grid, three- Dimensional model based on the shallow water equations
    • Casulli, V., and Walters, R. A. (2000). An unstructured grid, three- dimensional model based on the shallow water equations. Int. J. Numer. Meth. Fluids 32, 331-348.
    • (2000) Int. J. Numer. Meth. Fluids , vol.32 , pp. 331-348
    • Casulli, V.1    Walters, R.A.2
  • 4
  • 5
    • 0344393366 scopus 로고    scopus 로고
    • The local discontinuous Galerkin finite element method for convection-diffusion systems
    • Cockburn, B., and Shu, C.-W. (1998). The local discontinuous Galerkin finite element method for convection-diffusion systems. SIAM J. Numer. Anal. 35, 2440-2463.
    • (1998) SIAM J. Numer. Anal. , vol.35 , pp. 2440-2463
    • Cockburn, B.1    Shu, C.-W.2
  • 6
    • 84966246413 scopus 로고
    • TVB Runge-Kutta local projection discontinuous Galerkin finite element method for scalar conservation laws II: General framework
    • Cockburn, B., and Shu, C.-W. (1989). TVB Runge-Kutta local projection discontinuous Galerkin finite element method for scalar conservation laws II: General framework. Math. Comput. 52, 411-435.
    • (1989) Math. Comput. , vol.52 , pp. 411-435
    • Cockburn, B.1    Shu, C.-W.2
  • 7
    • 0002084927 scopus 로고    scopus 로고
    • The development of discontinuous Galerkin methods
    • Cockburn, B. Karniadakis, G. and Shu, C.-W. (eds.), Lecture Notes in Computational Science and Engineering, Part I: Overview, Springer-Verlag, Berlin
    • Cockburn, B., Karniadakis G., and Shu, C.-W. (2000). The development of discontinuous Galerkin methods. In Cockburn, B. Karniadakis, G. and Shu, C.-W. (eds.), Discontinuous Galerkin Methods: Theory, Computation and Applications, Lecture Notes in Computational Science and Engineering, volume 11, Part I: Overview, Springer-Verlag, Berlin, pp. 3-50.
    • (2000) Discontinuous Galerkin Methods: Theory, Computation and Applications , vol.11 , pp. 3-50
    • Cockburn, B.1    Karniadakis, G.2    Shu, C.-W.3
  • 8
    • 0001400025 scopus 로고
    • A three-dimensional model of the Northwest European continental shelf, with application to the M4 tide
    • Davies, A. M. (1986). A three-dimensional model of the Northwest European continental shelf, with application to the M4 tide. J. Phys. Oceanogr. 16(5), 797-813.
    • (1986) J. Phys. Oceanogr. , vol.16 , Issue.5 , pp. 797-813
    • Davies, A.M.1
  • 9
    • 0001437729 scopus 로고
    • Mechanics of supercritical flow
    • Ippen, A. T. (1951). Mechanics of supercritical flow. Trans. ASCE, 116, 268-295.
    • (1951) Trans. ASCE , vol.116 , pp. 268-295
    • Ippen, A.T.1
  • 13
    • 0026416607 scopus 로고
    • Three-dimensional hydrodynamics on finite elements. Part II: Non-linear time-stepping model
    • Lynch, D. R., and Werner, F. E. (1991). Three-dimensional hydrodynamics on finite elements. Part II: Non-linear time-stepping model. Int. J. Numer. Meth. Fluids 12, 507-533.
    • (1991) Int. J. Numer. Meth. Fluids , vol.12 , pp. 507-533
    • Lynch, D.R.1    Werner, F.E.2
  • 14
    • 2942757053 scopus 로고
    • Approximate Riemann solvers, parameter vectors, and difference schemes
    • Roe, P. L. (1981). Approximate Riemann solvers, parameter vectors, and difference schemes. J. Comput. Phys. 43, 357-372.
    • (1981) J. Comput. Phys. , vol.43 , pp. 357-372
    • Roe, P.L.1
  • 17
    • 0003515588 scopus 로고
    • Elsevier Oceanography Series, 55, Elsevier, Amsterdam
    • Weiyan, T. (1992). Shallow Water Hydrodynamics, Elsevier Oceanography Series, 55, Elsevier, Amsterdam.
    • (1992) Shallow Water Hydrodynamics
    • Weiyan, T.1
  • 18
    • 0029105107 scopus 로고
    • A split-characteristic based finite element model for the shallow water equations
    • Zienkiewicz, O. C., and Ortiz, P. (1995). A split-characteristic based finite element model for the shallow water equations. Int. J. Numer. Meth. Fluids 20, 1061-1080.
    • (1995) Int. J. Numer. Meth. Fluids , vol.20 , pp. 1061-1080
    • Zienkiewicz, O.C.1    Ortiz, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.