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One-Dimensional Calculation of Unsteady Open Channel Flow Using Adaptive Mesh Refinement

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Godunov Methods

Abstract

In the present study a one-dimensional numerical model for the simulation of unsteady flow in compound open channels is combined with an adaptive mesh refinement. To solve the applied Saint-Venant Equations the Godunov first-order upwind scheme with the source terms discretised according to Garcia-Navarro and Vázquez-Cendón (Garcia-Navarro and Vázquez-Cendón, 1998) was used. To minimize the errors due to an inflexible grid, an effective adaptive mesh refinement algorithm with refinement both in time and space has been implemented into the model.

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© 2001 Springer Science+Business Media New York

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Schramm, J., Enk, S., Köngeter, J. (2001). One-Dimensional Calculation of Unsteady Open Channel Flow Using Adaptive Mesh Refinement. In: Toro, E.F. (eds) Godunov Methods. Springer, New York, NY. https://doi.org/10.1007/978-1-4615-0663-8_78

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  • DOI: https://doi.org/10.1007/978-1-4615-0663-8_78

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-5183-2

  • Online ISBN: 978-1-4615-0663-8

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