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The discretization of the friction source terms relies on the use of a modified Riemann solver for the flux computation.
A Godunov-type finite volume method is implemented to numerically solve these new governing equations, together with a novel scheme proposed to discretise the friction source terms.
An implicit treatment of both topography and friction source terms is also exhibited to improve the scheme while dealing with vanishing water heights.
To address such issues, a particular attention is paid to the study of the steady states related to the friction source term.
A LTS algorithm – recently designed for homogenous hyperbolic PDE(s) – is herein reconsidered and improved in combination with the RKDG2 shallow-flow solver (LTS-RKDG2) including topography and friction source terms as well as wetting and drying.
Jin, Z. Xin, The relaxation schemes for systems of conservation laws in arbitrary space dimensions, Communications on Pure and Applied Mathematics 48 (1995) 235 277] and the full compressible Euler equations with stiff friction source terms.
Similar(52)
The combined effects of lattice friction, source-truncation hardening and forest hardening are found to be insufficient to fully account for the large flow strengths in smaller microcrystals.
In addition, we extend the model to include a recently implemented bottom-friction source term for tropical reefs.
The friction-source term has also been included by using an upwind approach.
But it became a source of friction.
"That was a source of friction.
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