A new SPH-SWE approach for modeling of lateral flows in open-channels
Date Issued
2014
Date
2014
Author(s)
Hung, Wei-Cheng
Abstract
In this research, smoothed particle hydrodynamics (SPH) is applied to solve shallow water equations and investigate the lateral flows in open-channels. SPH is a meshfree numerical method based on the Lagrangian viewpoint to describe the motion of fluid. Particles are used to discretize spatially the computational domain in SPH. Since particles move freely with time in SPH, the effect of lateral flows on main channels estimated by SPH is more difficult than mesh-based numerical methods.
In SPH, each particle has its own mass. The approach of increasing each particle mass by a weighting summation is proposed to update the water depth of each particle at every time step. In addition, the evolution of a smoothing length of each particle depends on the volume instead of the density herein. In this research, three study cases, including steady flows in single lateral-channel systems, unsteady flows in single lateral channel systems and unsteady flows in multi-lateral channel systems, are used to test the ability of the new SPH model on the simulation of lateral flows in open-channels. To compare with a mesh-based numerical package called HEC-RAS, the SPH and the HEC-RAS simulated profiles of the discharge and the water depth are consistent. Thus, the new SPH is capable of handling lateral flows in open channels.
Subjects
平滑粒子動力法
淺水波方程式
側入流
平滑長度
數值模擬
Type
thesis
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