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CIP Method of Characteristics for the Solution of Tide Wave Equations

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  • Yafei Nie
  • Kai Fu
  • Xianqing Lv

Abstract

The CIP-MOC (Constrained Interpolation Profile/Method of Characteristics) is proposed to solve the tide wave equations with large time step size. The bottom topography and bottom friction, which are very important factor for the tidal wave model, are included to the equation of Riemann invariants as the source term. Numerical experiments demonstrate the good performance of the scheme. Compared to traditional semi-implicit (SI) finite difference scheme which is widely used in tidal wave simulation, CIP-MOC has better stability in simulating large gradient water surface change and has the ability to use much longer time step size under the premise of maintaining accuracy. Besides, numerical tests with reflective boundary conditions are carried out by CIP-MOC with large time step size and good results are obtained.

Suggested Citation

  • Yafei Nie & Kai Fu & Xianqing Lv, 2018. "CIP Method of Characteristics for the Solution of Tide Wave Equations," Advances in Mathematical Physics, Hindawi, vol. 2018, pages 1-10, July.
    • Handle: RePEc:hin:jnlamp:3469534
    DOI: 10.1155/2018/3469534
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