In our talk, we propose an adaptive mesh-refining strategy for the cell-centered FVM based on some a posteriori error control for the quantity ‖∇T (u − Iuh)‖L2 . Here, uh ∈ P (T ) denotes the FVM approximation of u and I is a certain interpolation operator. As model example serves the Laplace equation with mixed boundary conditions, where our contributions extend a result of [NIC05]. Moreover, ...

The limited availability of the recorded rainfall-runoff data for many watersheds restricts development and management different activities water resources. To overcome this limitation, Natural Resources Conservation Service (NRCS) estimating storm excess rainfall momentum optimization methods were combined in a mathematical model to estimate optimal parameters Nash Instantaneous unit hydrograp...

Abstract The traditional instantaneous unit hydrograph (IUH) is very useful for theoretical analysis and practical forecasting of floods owing to its linear assumptions. Although various revised methods overcome the unphysical assumptions have been proposed, it still difficult obtain efficiently a nonlinear IUH diverse rainfall excess intensities in watershed. In this study, we proposed physica...

Elisabeth Remy, Sandra Rebouissou, Claudine Chaouiya, Andrei Zinovyev, François Radvanyi, Laurence Calzone 1. Aix Marseille Université, CNRS, Centrale Marseille, I2M, UMR 7373, 13453 Marseille, France 2. Institut Curie, PSL Research University, 75248 cedex 05 Paris, France 3. CNRS, UMR 144, Oncologie Moléculaire, Equipe Labellisée Ligue Contre le Cancer, Institut Curie, 75248 cedex 05 Paris, F...

This paper reviews the use of an input-dependent kernel in a linear convolution integral as a quasi-nonlinear approach to unify nonlinear overland flow, channel routing and catchment runoff processes. The conceptual model of a variable kernel or instantaneous unit hydrograph (IUH) is characterized by a nonlinear storage-discharge 5 relation, q=cs , where the storage exponent N is an index or de...

The possibility to create a flood wave in river network depends on the geometric properties of basin. Among models that try forecast Instantaneous Unit Hydrograph (IUH) rainfall precipitation, so-called Multifractal (MIUH) by De Bartolo et al. (2003) rather successfully connects multifractal basin observed IUH. Such can be assessed through different types analysis (fixed-size algorithm, correla...