Balance errors in numerical solutions of shallow water equations

• Autorzy: Gąsiorowski D.
• Języki publikacji: EN

Abstrakty

EN

An analysis of the conservative properties of shallow water equations is presented, focused on the consistency of their numerical solution with the conservation laws of mass and momentum. Two different conservative forms are considered, solved by an implicit box scheme. Theoretical analysis supported with numerical experiments is carried out for a rectangular channel and arbitrarily assumed flow conditions. The improper conservative form of the dynamic equation is shown not to guarantee a correct solution with respect to the conservation of momentum. Consequently, momentum balance errors occur in the numerical solution. These errors occur when artificial diffusion is simultaneously generated by a numerical algorithm.

Słowa kluczowe

EN

shallow water equations; nonlinear advection equations; numerical errors; conservation laws; mass and momentum balance

• Wydawca: Politechnika Gdańska
• Czasopismo: TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk
• Rocznik: 2007
• Tom: Vol. 11, No 4
• Strony: 329--340
• Opis fizyczny: Bibliogr. 10 poz., rys.

Twórcy

autor

Gąsiorowski D.

• Institute of Hydro-Engineering, Polish Academy of Sciences, Kościerska 7, 80-328 Gdansk, Poland,

Bibliografia

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