Author(s): M. Louaked; L. Hanich

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Abstract: A high-resolution algorithm is proposed for the solution of the two-dimensional shallow-water equations by adopting the numerical flux for the generalized formulation of the TVD Lax-Wendroff scheme developed by Sweby and Davis. To obtain high resolution near the discontinuities, we apply the ACM (artificial compression method) technique to the proposed scheme. Comparison of corresponding results is exposed. A variety of hydraulic test cases show that the coupled method (TVD-ACM) is quite robust and accurate.

DOI: https://doi.org/10.1080/00221689809498624

Year: 1998