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Numerical Simulation for 2D Sedimentation Model by an Upwind Discontinuous Galerkin Procedure

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  • JinFeng Jian
  • HuanZhen Chen
  • BaoHai Shi

Abstract

We reformulate the mathematical model for the 2D sedimentation in an estuary as a coupled nonlinear differential system. Combining the mass-conservation character of the discontinuous Galerkin method and the jump-capturing property of Lesaint - Raviart upwind technique, we design an upwind discontinuous Galerkin finite element method, which obeys the local mass conservation and possesses good stability. Our theoretical analysis shows that there exists a unique solution to the numerical procedure and the discrete solution permits convergence rate. Numerical experiments are conducted to verify our theoretical findings. This may provide a theoretical principle for better understanding of the mechanism and morphological characters of sedimentation at estuaries.

Suggested Citation

  • JinFeng Jian & HuanZhen Chen & BaoHai Shi, 2017. "Numerical Simulation for 2D Sedimentation Model by an Upwind Discontinuous Galerkin Procedure," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-17, February.
    • Handle: RePEc:hin:jnlmpe:2487136
    DOI: 10.1155/2017/2487136
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