PhD Seminars X
juin 12, 2019 –
Location: Euler Violet room of Inria Sophia Antipolis - Méditerranée
Anne-Laure Simonelli (EUR DS4H)
Graduate School & Research : Digital Systems 4 Humans
Digital Systems for Humans (DS4H) is the first graduate school of research at Université Côte d'Azur and the only one in France with digital sciences as focus.
It is a multidisciplinary research and educational program centered on how the digital revolution does impact various disciplines such as computer sciences, electronics, economy and law. Within DS4H, Master and PhD students conceive and build tomorrow’s digital systems ; they explore the links between humans and the digital world.
DS4H gathers 12 partner laboratories and benefits from a close connection with the local innovation and business sphere. Its fully modular training program (including minors, in-lab immersion, and interdisciplinary group projects) provides graduates with highly-sought skills both in the industrial and research worlds.
Fluctuation splitting Riemann solver for a non-conservative modeling of shear shallow water flow
In this work, we propose a fluctuation splitting finite volume scheme for a non-conservative modeling of shear shallow water flow (SSWF). This model was originally proposed by Teshukov (2007) and was extended to include modeling of friction by Gavrilyuk et al. (2018). The directional splitting scheme proposed by Gavrilyuk et al. (2018) is tricky to apply on unstructured grids. Our scheme is based on the physical splitting in which we separate the characteristic waves of the model to form two different hyperbolic sub-systems. The fluctuations associated with each sub-systems are computed by developing Riemann solvers for these sub-systems in a local coordinate system. These fluctuations enables us to develop a Godunov-type scheme that can be easily applied on mixed/unstructured grids. While the equation of energy conservation is solved along with the SSWF model in Gavrilyuk et al. (2018), in this work we solve only SSWF model equations.
We develop a cell-centered finite volume code to validate the proposed scheme with the help of some numerical tests. As expected, the scheme shows first order convergence. The numerical simulation of 1D roll waves shows a good agreement with the experimental results. The numerical simulations of 2D roll waves show similar transverse wave structures as observed by Gavrilyuk et al. (2018).