%0 Unpublished work
%T A simple integral approach to compute flows in ducts with variable cross-section
%+ Simulation et Traitement de l'information pour l'Exploitation des systèmes de Production (EDF R&D STEP)
%+ Institut de Mathématiques de Marseille (I2M)
%A Audebert, Bruno
%A Hérard, Jean-Marc
%A Martin, Xavier
%A Touazi, Ouardia
%8 2015-12-07
%D 2015
%K Finite Volumes
%K well-balanced scheme
%K integral formulation
%K variable cross-section
%K Euler equations
%K Riemann problem.
%Z Mathematics [math]
%Z Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph]Preprints, Working Papers, ...
%X We introduce in this paper a new approach based on an integral formulation in order to get a relevant approximation of the mean flow patterns in one-dimensional ducts with variable cross-sections. Numerical results are compared with those obtained by using the standard one-dimensional formulation associated with a well-balanced scheme, and also with numerical results provided by a multi-dimensional code. The comparison includes ducts with smooth or discontinuous cross sections. This new formulation is shown to be robust wrt to sudden and high cross-section variations, even when a total obstruction occurs, and to be accurate when compared with the reference solution.
%G English
%2 https://hal.science/hal-01239393/document
%2 https://hal.science/hal-01239393/file/AHMT.pdf
%L hal-01239393
%U https://hal.science/hal-01239393
%~ CNRS
%~ UNIV-AMU
%~ EC-MARSEILLE
%~ I2M
%~ I2M-2014-
%~ EDF