Some Contributions About an Implicit Discretization of a 1D Inviscid Model for River Flows

A. Bermúdez de Castro (), R. Muñoz-Sola (), C. Rodríguez () and M. Ángel Vilar ()
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A. Bermúdez de Castro: Universidade de Santiago de Compostela, Departamento de Matemática Aplicada
R. Muñoz-Sola: Universidade de Santiago de Compostela, Departamento de Matemática Aplicada
C. Rodríguez: Universidade de Santiago de Compostela, Departamento de Matemática Aplicada
M. Ángel Vilar: Universidade de Santiago de Compostela, Departamento de Matemática Aplicada

A chapter in Hyperbolic Problems: Theory, Numerics, Applications, 2008, pp 765-773 from Springer

Abstract: We consider a 1D inviscid model to simulate river or channel flows with variable cross section. Let Ω(x, t) be the wet section of the river at point x and time t. We denote by h(x, t) the height of water from the lowest point of this section and by b(x) the height of this point with respect to a fixed reference. We put η(x, t) = h(x, t) + b(x) (see Fig.1).

Date: 2008
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DOI: 10.1007/978-3-540-75712-2_78

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