Numerical simulation of one-dimensional flood with WENO scheme

作者：Liu Y L; Hong Y F; Wei W L^*; Yang X F

来源：Journal of Chemical and Pharmaceutical Research, 2014, 6(4): 265-269.

• Flow properties
• Numerical solution
• Simulation
• Time discretization
• Total variation diminishing
• Water depth
• Weighted essentially nonoscillatory scheme
• WENO schemes

This paper is concerned with a mathematical model for simulating hydrodynamics of 1D flood flows with the WENO(Weighted Essentially Non-oscillatory Scheme) scheme. The time discretization uses the Runge-Kutta TVD(Total Variation Diminishing) scheme. By using the model, the flow property of dam-break was calculated, and the flow velocity and water depth were obtained. The calculated results show that the WENO scheme has higher accuracy and better stability, and has the ability to automatically capture shock waves, and may suppress the oscillations of numerical solution. This model can effectively simulate the hydrodynamics of 1D river flow.

• 出版日期2014