Numerical modeling of the propagation and morphological changes of turbidity currents using a cost-saving strategy of solution updating |
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| Institution: | 1. Department of Dams and Water Resources, College of Engineering, University of Mosul, Mosul, Iraq;2. Department of Civil Engineering, Faculty of Engineering, Universiti Putra Malaysia, UPM Serdang, Selangor, 43400, Malaysia;3. Department of Water Resources Engineering, University of Baghdad, Baghdad, Iraq;1. Key Laboratory of Water Cycle and Related Land Surface Processes, Institute of Geographic Sciences and Natural Resources Research, Chinese Academy of Sciences, Beijing 100101, China;2. College of Resources and Environment, University of Chinese Academy of Sciences, Beijing 100049, China;3. School of Soil and Water Conservation, Beijing Forestry University, Beijing 100083, China;4. Tsinghua University, Beijing 100084, China;1. Department of Civil Engineering, College of Engineering & Applied Sciences, Stony Brook University, Stony Brook, NY, USA;2. Department of Civil and Environmental Engineering, Hanyang University, Seoul, South Korea;1. School of Environment, Key Laboratory of Water and Sediment Sciences of Ministry of Education, Beijing Normal University, Beijing 100875, China;2. School of Environment, Beijing Normal University, Beijing 100875, China;3. River Authority of Chaoyang District, Beijng 100020, China;4. Key Laboratory of Water and Sediment Sciences of Ministry of Education, Beijing Normal University, Beijing 100875, China;1. Department of Civil Engineering, National Defense Academy, Japan;2. Université Grenoble Alpes, Laboratoire 3SR (sols, Solides, Structures, Risques), UMR 5521, Domaine Universitaire, BP53, France;1. Civil and Environmental Engineering, Tarbiat Modares University, Tehran, Iran;2. Civil and Environmental Engineering and Water Engineering Research Institute, Tarbiat Modares University, Tehran, Iran |
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| Abstract: | Existing layer-averaged numerical models for turbidity currents have mostly adopted the global minimum time step (GMiTS) for solution updating, which confines their computational efficiency and limits their attractiveness for field applications. This paper presents a highly efficient layer-averaged numerical model for turbidity currents by implementing the combined approach of the local graded-time-step (LGTS) and the global maximum-time-step (GMaTS). The governing equations are solved for unstructured triangular meshes by the shock-capturing finite volume method along with a set of well-balanced evaluations of the numerical flux and geometrical slope source terms. The quantitative accuracy of the model, given reasonably estimated empirical and model parameters (e.g., bed friction, water entrainment, sediment deposition and erosion coefficients), is demonstrated by comparing the numerical solutions against laboratory data of the current front positions and deposition profiles, as well as field data of the current front positions. The improved computational efficiency is demonstrated by comparing the computational cost of the present model against that of a traditional model that uses a GMiTS. For the present simulated cases, the maximum reduction of the computational cost is approximately 80% (e.g., a simulation that cost 1 h before will only require 12 min with the new model). |
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| Keywords: | Turbidity currents Numerical modeling Computational efficiency Time step |
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