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This work proposes an extended numerical scheme based on the finite volume method that is intended to solve a new morphodynamic model with porosity. The St-Venant equations and the Exner equation are coupled in this model, accounting for the variation of the porosity function ϕ ( x , y ) . In the morphodynamic system, the Jacobian matrix's sign is taken into account when reconstructing the numerical fluxes using an improved Roe's approach to assure correct numerical computations.

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Pollack Periodica
Farid Boushaba
Salah Daoudi
Ahmed Yachouti
, and
Youssef Regad

of border Γ is governed by Saint-Venant equations, and they are presented in 2D case under de following form: (1

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solutions. The combined 1D/2D model has two parts. The 1D Saint-Venant equations were used for the Tisza River. The detailed examination of the inundation process on storage area was carried out with the 2D solver that gives the Diffusive wave approximation

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