## Abstract

A two-dimensional overland flow model to solve the continuity and momentum equations hydrodynamically using the Lagrangian-Eulerian finite element method has been developed. Modeling overland flow has been simplified to the one-dimensional domain and has been considered to be governed by the kinematic wave equation in the past several decades. Most two-dimensional hydrodynamic models have been developed later without the consideration of spatial variability in infiltration, rainfall, or the terms related to the convective acceleration. None of these models have been solved by the Lagrangian-Eulerian finite element method. In this paper, the momentum equations are cast in advection form to enable the use of hybrid Lagrangian-Eulerian methods for solving the momentum equations of overland flow. This numerical scheme allows the spatial variation of rainfall, infiltration, and topography to be incorporated without any extra effort. To circumvent the problem of chalkboard syndrome, the continuity equation of overland flow is written to the Poisson equation for the implementation of numerical approach. Therefore, the governing equations of overland flow problems are solved by using hybrid Lagrangian-Eulerian approaches in conjunction with the Galerkin finite element method to alleviate many stability and convergence problems associated with the traditional Eulerian approaches. One application example is adopted to insure that the coupling between the overland flow and subsurface flow is constructed correctly.

Original language | English |
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Pages | 183-190 |

Number of pages | 8 |

State | Published - 1996 |

Event | Proceedings of the 1996 11th International Conference on Computational Methods in Water Resources, CMWR'96. Part 1 (of 2) - Cancun, Mex Duration: 1 Jul 1996 → 1 Jul 1996 |

### Conference

Conference | Proceedings of the 1996 11th International Conference on Computational Methods in Water Resources, CMWR'96. Part 1 (of 2) |
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City | Cancun, Mex |

Period | 1/07/96 → 1/07/96 |