Abstract
Understanding of complex stress distributions in lake beds and river embankments is crucial in many designs in civil and geothecnical engineering. We propose an accurate and efficient computational algorithm for stress analysis in hydro-sediment-morphodynamic models. The governing equations consists of the linear elasticity in the bed topography coupled to the shallow water hydro-sediment-morphodynamic equations. Transfer conditions at the bed interface between the water surface and the bedload are also developed using frictional forces and hydrostatic pressures. A hybrid finite volume/finite element method is implemented for the numerical solution of the proposed model. Well-balanced discretization of the gradient fluxes and source terms is formulated for the finite volume and the treatment of dry areas in the model is discussed in the present study. The finite element method uses quadratic elements on unstructured meshes and interfacial forces are samples on the common nodes for finite volume and finite element grids. Numerical results are presented for a dam-break problem in hydro-sediment-morphodynamic models and the computed solutions demonstrated the ability of the proposed model in accurately capturing the stress distributions for erosional and depositional deformations. In addition, the coupled model is accurate, very efficient, well-balanced and it can solve complex geometries.
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Al-Ghosoun, A., Osman, A.S., Seaid, M. (2022). Efficient Computational Algorithm for Stress Analysis in Hydro-Sediment-Morphodynamic Models. In: Groen, D., de Mulatier, C., Paszynski, M., Krzhizhanovskaya, V.V., Dongarra, J.J., Sloot, P.M.A. (eds) Computational Science – ICCS 2022. ICCS 2022. Lecture Notes in Computer Science, vol 13350. Springer, Cham. https://doi.org/10.1007/978-3-031-08751-6_21
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