Speaker
Description
Flow in karst conduit networks often departs from the laminar regime and exhibits turbulent behavior, leading to non-linear relationships between hydraulic head losses and flow rates. Incorporating such non-linear effects in large-scale network models remains a major challenge.
In this work, we investigate the inclusion of turbulent flow effects in graph-based representations of karst conduit networks. Conduits are modeled as edges with non-linear conductances derived from Darcy–Weisbach formulations, while junctions are represented as nodes. To retain computational efficiency, a quasi-linear iterative strategy is adopted, in which the non-linear conductances are updated based on the current flow state, allowing Laplacian-based solvers to be employed at each iteration.
We analyze how turbulence-induced non-linearity impacts the stability, accuracy, and physical relevance of graph coarsening methods originally developed for linear flow regimes. Numerical experiments on heterogeneous networks highlight the limitations and potential adaptations of spectral and resistance-based coarsening strategies in the presence of turbulent effects. This study provides insights into extending graph-based upscaling approaches toward more realistic karst flow conditions.
| Country | France |
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