Implicit versus explicit finite volume schemes for extreme, free surface water flow modelling

• Autorzy: Szydłowski M.
• Języki publikacji: EN

Abstrakty

EN

One explicit and three implicit finite volume method schemes of the Roe type are presented in the paper. The properties and applicability of these methods for modelling unsteady, rapidly varied, open channel flow are investigated. The schemes are used for numerical simulation of one-dimensional extreme flow described by de Saint-Venant equations. The computational results are compared with each other and an analytical (exact) solution to an idealized dam-break problem. The classical versions of general scheme implicit in time - fully implicit and trapezoidal scheme - are not restricted by a stability condition, like an explicit one, however they add some numerical diffusion and dispersion errors to the solution. The modification of parameter , originally proposed for a box scheme of finite difference method, has improved computational properties of the general one-step implicit scheme. This version of finite volume scheme of the Roe type implicit in time can be recommended for modelling and simulation of transient flows in storm sewers and open channel networks.

Słowa kluczowe

EN

general scheme implicit in time; finite volume method; extreme flows

• Wydawca: Institute of Hydro-Engineering of Polish Academy of Sciences
• Czasopismo: Archives of Hydro-Engineering and Environmental Mechanics
• Rocznik: 2004
• Tom: Vol. 51, nr 3
• Strony: 287--303
• Opis fizyczny: Bibliogr. 21 poz., il.

Twórcy

autor

Szydłowski M.

• Gdańsk University of Technology, Faculty of Hydro- and Environmental Engineering, ul. Narutowicza 11/12, 80-952 Gdańsk,

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