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• W2983084792 abstract "We present a central differencing scheme for the solution of the shallow water equations with non-flat bottom topography and moving wet-dry fronts. The problem is numerically challenging due to two reasons. First, the non-flat bottom topography requires accurate balancing of the source term of the momentum conservation equation accounting for the gravitational force and the flux gradient term accounting for the force due to pressure imbalance. Second, the modelling of moving wet-dry fronts involves handling of diminishing water height, which is numerically challenging to handle. The Riemann-solver free scheme is fast, simple and robust. It successfully avoids negative water depths at moving wet-dry boundaries and it exhibits good balancing between flux gradients and source terms. The performance of the scheme is verified with a number of test cases and the results compare favorably with published analytical solutions." @default.
• W2983084792 created "2019-11-22" @default.
• W2983084792 creator A5049407165 @default.
• W2983084792 creator A5078764519 @default.
• W2983084792 date "2019-11-08" @default.
• W2983084792 modified "2023-09-27" @default.
• W2983084792 title "Well-balanced, anti-diffusive non-oscillatory central difference (adNOC) scheme for the shallow water equations with wet-dry fronts" @default.
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• W2983084792 hasPublicationYear "2019" @default.
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