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W4288334495 abstract "A Godunov-type finite volume scheme on unstructured triangular grids is proposed to numerically solve the Savage-Hutter equations in curvilinear coordinate. We show the direct observation that the model is a not Galilean invariant system. At the cell boundary, the modified Harten-Lax-van Leer (HLL) approximate Riemann solver is adopted to calculate the numerical flux. The modified HLL flux is not troubled by the lack of Galilean invariance of the model and it is helpful to handle discontinuities at free interface. Rigidly the system is not always a hyperbolic system due to the dependence of flux on the velocity gradient. Even though, our numerical results still show quite good agreements to reference solutions. The simulations for granular avalanche flows with shock waves indicate that the scheme is applicable." @default.
W4288334495 created "2022-07-28" @default.
W4288334495 creator A5054195099 @default.
W4288334495 creator A5079969251 @default.
W4288334495 date "2019-06-07" @default.
W4288334495 modified "2023-10-18" @default.
W4288334495 title "A Finite Volume Scheme for Savage-Hutter Equations on Unstructured Grids" @default.
W4288334495 doi "https://doi.org/10.48550/arxiv.1906.02937" @default.
W4288334495 hasPublicationYear "2019" @default.
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