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Free surface flows over partially erodible beds by a continuous finite element method

ENVIRONMENTAL EARTH SCIENCES 2015年第11期74卷 7357-7370页

作者： Ortiz, Pablo Anguita, Javier Riveiro, Miguel Univ Granada Esc Ingn Caminos E-18071 Granada Spain

This paper presents a continuous finite element model for shallow water equations coupled with a bedload sediment conservation law. The model incorporates a sign-preserving conservative correction based on the flux correction transport methodology. Complete algorithm permits simulation of flows with evolutionary boundaries and erodible-non erodible interfaces under severe conditions without spurious mass exchanges and oscillations. Numerical experiments explore the efficacy of the procedure for dam-break problems on channels with dry beds, for partially and totally erodible beds, and for migration of small bedforms. Computation of real river morphodynamics under intense flooding illustrates practical application of the model.

关键词： Evolutionary interfaces Coupled erodible beds positive algorithm Continuous finite element method

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NON-OSCILLATORY FEM FOR FLOWS OVER FLOODING AREAS AND PARTIALLY ERODIBLE BEDS 11

NON-OSCILLATORY FEM FOR FLOWS OVER FLOODING AREAS AND PARTIA...

引用

11th World Congress on Computational Mechanics (WCCM) / 5th European Conference on Computational Mechanics (ECCM) / 6th European Conference on Computational Fluid Dynamics (ECFD)

作者： Ortiz, Pablo Gomez, Jose Anguita, Javier Univ Granada Campus Fuentenueva E-18071 Granada Spain

ISBN: (纸本)9788494284472

The paper introduces a positive continuous finite element method (FEM) for coupled transport equations, incorporating the shallow water equations and a sediment transport equation. Transport equation relates position of the bed-fluid interface to the divergence of sediment fluxes. The equation is casted as a standard advection-diffusion PDE suitable for an efficient positive-definite continuous FEM model. The continuous FEM is developed by integrating a high order finite element procedure with a conservative flux-correction that imposes sign-preservation, permitting simulation of flows with dry fronts without spurious mass exchanges and oscillations, as well as simulation of the evolution of layers of erodible sediment over partially non-erodible stratums. Experiments focus on applications of the model to the simulation of real river dynamics and evolution of sediment layers with partially non-erodible beds.

关键词： Evolutionary coastlines Coupled erodible beds positive algorithm Continuous finite element method

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