A geometry independent slope limiter for the discontinuous Galerkin method

Notes on Numerical Fluid Mechanics and Multidisciplinary Design

Volumn 115, Issue , 2011, Pages 207-217

  Aizinger, Vadym ^a  

^a GOETHE UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 79551560211     PISSN: 16122909     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-642-17770-5_16     Document Type: Conference Paper

References (10)

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2. Aizinger, V., Dawson, C.: A discontinuous Galerkin method for two-dimensional flow and transport in shallow water. Adv. Water Resources 25, 67-84 (2002) (Pubitemid 34068218)
3. Cockburn, B., Shu, C.-W.: The local discontinuous Galerkin finite element method for convection-diffusion systems. SIAM J. Numer. Anal. 35, 2440-2463 (1998) (Pubitemid 128464115)
4. Cockburn, B., Shu, C.-W.: TVB Runge-Kutta local projection discontinuous Galerkin finite element method for scalar conservation laws II: General framework. Math. Comp. 52, 411-435 (1989)
5. Cockburn, B., Karniadakis, G., Shu, C.-W.: The development of discontinuous Galerkin methods. In: Cockburn, B., Karniadakis, G., Shu, C.-W. (eds.) Discontinuous Galerkin Methods: Theory, Computation and Applications. LNCSE, Part I: Overview, vol. 11, pp. 3-50. Springer, Heidelberg (2000)
6. Kuzmin, D.: A vertex-based hierarchical slope limiter for p-adaptive discontinuous Galerkin methods. J. Comput. Appl. Math. (to appear)
7. Tu, S.Z., Aliabadi, S.: A Slope limiting procedure in discontinuous Galerkin finite element method for gas dynamics applications. Int. J. Numer. Anal. Model. 2, 163-178 (2005)
8. Vreugdenhil, C.B.: Numerical Methods for Shallow-Water Flow. Kluwer Academic Publishers, Dordrecht (1994)
9. Weiyan, T.: Shallow Water Hydrodynamics. Elsevier Oceanography Series, vol. 55. Elsevier, Amsterdam (1992)
10. Zienkiewicz, O.C., Ortiz, P.: A split-characteristic based finite element model for the shallow water equations. Int. J. Num. Meth. Fluids 20, 1061-1080 (1995)