Abstract
A well-balanced and positivity-preserving meshless method based on smoothed particle hydrodynamics (SPH) is developed to simulate one-dimensional (1D) and two-dimensional (2D) shallow water (SW) flows in open channels with irregular geometries. A new form of the characteristic equations that govern the water-surface level and water velocity is introduced to specify the numerical inflow/outflow boundary conditions. An additional condition, derived from temporal discretization to determine the time-step size, forces the water depth to be positive. A 1D finite volume shallow water (FVSW) model based on the first-order Godunov upwind method is built to conduct a comparison of the 1D meshless-based and mesh-based SW models. Six benchmark cases–still water, single trapezoidal and rectangular and prismatic and non-prismatic channels, and a dendritic channel network–are employed to validate the proposed models and compared with the exact and mesh-based numerical solutions. A real-world case of the Chicago Area Waterways System (CAWS) is investigated to highlight the performance of the proposed 1D model for a practical hydraulic system.
Original language | English (US) |
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Pages (from-to) | 903-916 |
Number of pages | 14 |
Journal | Journal of Hydraulic Research |
Volume | 59 |
Issue number | 6 |
DOIs | |
State | Published - 2021 |
Keywords
- CAWS
- positivity-preserving
- shallow water
- smoothed particle hydrodynamics
- well-balanced
ASJC Scopus subject areas
- Civil and Structural Engineering
- Water Science and Technology