References
- Arega , F. and Sanders , B. F. 2004 . Dispersion model for tidal wetlands . J. Hydr. Engng. , 130 ( 8 ) : 739 – 754 .
- Begnudelli , L. and Sanders , B. F. 2006 . Unstructured grid finite volume algorithm for shallow-water flow and transport with wetting and drying . J. Hydr. Engng. , 132 ( 4 ) : 371 – 384 .
- Begnudelli , L. and Sanders , B. F. 2007 . Simulation of the St. Francis dam-break flood . J. Eng. Mech. , 133 ( 11 ) : 1200 – 1213 .
- Begnudelli , L. , Sanders , B. F. and Bradford , S. F. 2008 . An adaptive Godunov-based model for flood simulation . J. Hydr. Engng , 134 ( 6 ) : 714 – 725 .
- Bradford , S. F. and Sanders , B. F. 2002 . Finite-volume model for shallow-water flooding of arbitrary topography . J. Hydr. Engng. , 128 ( 3 ) : 289 – 298 .
- Crossley , A. J. , Wright , N. G. and Whitlow , C. D. 2003 . Local time stepping for modeling open channel flows . J. Hydr. Engng. , 129 ( 6 ) : 455 – 462 .
- Dawson , C. and Kirby , R. 2001 . High resolution schemes for conservation laws with locally varying time steps . SIAM J. Sci. Comput. , 22 ( 6 ) : 2256 – 2281 .
- Fumeaux , C. , Baumann , D. , Leuchtmann , P. and Vahldieck , R. 2004 . A generalized local time-step scheme for efficient fvtd simulations in strongly inhomogeneous meshes . IEEE Trans. on Microwave Theory and Techniques , 52 ( 3 ) : 1067 – 1076 .
- Guinot , V. 2003 . Godunov-Type Schemes: An Introduction for Engineers , Amsterdam : Elsevier Science .
- Muller , S. and Stiriba , Y. 2006 . Fully adaptive multiscale schemes for conservation laws employing locally varying time stepping . J. Scientific Computing , 30 ( 3 ) : 493 – 531 .
- Osher , S. and Sanders , R. 1983 . Numerical approximations to nonlinear conservation laws with local varying time and space grids . Mathematics of Computation , 41 ( 164 ) : 321 – 336 .
- Roe , P. L. 1981 . Approximate Riemann solvers, parameter vectors, and difference schemes . J. Comp. Phys. , 43 : 357 – 372 .
- Sanders , B. F. 2007 . Evaluation of on-line dems for flood inundation modeling . Advances inWater Resources , 30 : 1831 – 1843 .
- Shewchuk , J. R. 1996 . “ Triangle: Engineering a 2D quality mesh generator and Delaunay Triangulator ” . In Applied Computational Geometry: Towards Geometric Engineering , Edited by: Lin , M. C. and Manocha , D. Vol. 1148 , 203 – 222 . Berlin : Springer . Lecture Notes in Computer Science
- Tan , Z. , Zhang , Z. , Huang , Y. and Tang , T. 2004 . Moving mesh methods with locally varying time steps . J. Comput. Phys. , 200 : 347 – 367 .
- Tang , H. and Warnecke , G. 2005 . A class of high resolution difference schemes for nonlinear Hamilton-Jacobi equations with varying time and space grids . SIAM J. Sci. Comput. , 26 ( 4 ) : 1415 – 1431 .
- Toro , E. F. 2001 . Shock-Capturing Methods for Free-Surface Shallow Flows , Chichester , , UK : Wiley & Sons .