Data-driven polynomial chaos expansions for characterization of complex fluid rheology: Case study of phosphate slurry

A fast and accurate method for transport and dispersion of phosphogypsum in coastal zones: Application to Jorf Lasfar

“…The mathematical model (1) is therefore considered to predict the transport and dispersion of Phosphogypsum in the Jorf Lasfar, where $$$ C $$$ represents the concentration of Phosphogypsum in the ocean. Note that the use of a Fickian dispersion tensor used in the current work is motivated based on the complex rheological behavior of the phosphate slurry, see for instance 37 . Furthermore, the physical domain is defined through a high‐resolution (of 10 m) remote sensing product (Sentinel‐2), as depicted by Figure 12.…”

“…Note that the use of a Fickian dispersion tensor used in the current work is motivated based on the complex rheological behavior of the phosphate slurry, see for instance. 37 Furthermore, the physical domain is defined through a high-resolution (of 10 m) remote sensing product (Sentinel-2), as depicted by Figure 12. Notice that the dispersion of Phosphogypsum in the ocean is clearly visible in Figure 12, compare the region bounded by the red contourline on Our main objective in these numerical simulations is twofold, on one hand to demonstrate the performance of the proposed multilevel adaptive enriched semi-Lagrangian finite element method to accurately resolve complex geometries and on the other hand to develop a class of robust computational techniques to efficiently simulate the transport and dispersion of phosphogypsum in the Jorf Lasfar coastal zone.…”

The method of moments for electromagnetic scattering analysis accelerated by the polynomial chaos expansion in infinite domains

“…The polynomial chaos expansion method has the advantages of constructing surrogate models with high accuracy, computing system responses efficiently, and handling systems with cross-terms effectively. It has been widely used in different engineering fields, such as heat conduction [32], structural mechanics [33,34], fluid mechanics [35], environmental and acoustic fields [36,37], electrical properties of nanomaterials [38], flexoelectric materials [39], and stochastic difference equations [40].…”