TY - JOUR ID - 15977 TI - Random Walk Particle Tracking for Convection-diffusion ‎Dominated Problems in Shallow Water Flows JO - Journal of Applied and Computational Mechanics JA - JACM LA - en SN - AU - Talbi, Hind AU - Chaabelasri, Elmiloud AU - Jeyar, Mohammed AU - Salhi, Najim AD - LME, Department of Physics, Faculty of Science, Mohammed First University, 60000 Oujda, Morocco AD - LPTPME, Department of Physics, Faculty of Science, Mohammed First University, 60000 Oujda, Morocco‎ Y1 - 2021 PY - 2021 VL - 7 IS - 2 SP - 486 EP - 495 KW - Lagrangian random walk tracking KW - shallow water equations KW - convection-diffusion equation KW - strait of Gibraltar DO - 10.22055/jacm.2020.35154.2579 N2 - This paper deals with a Lagrangian stochastic approach to solve the advection-diffusion equation of a scalar tracer inflow based on random walk particle tracking (RWPT) of a fine number of particles that describe the tracer. The water flow is governed by the shallow water equations that are solved using a finite volume upwinding scheme on a non-structured triangular mesh. Results are presented for two problems, pure advection in a square cavity and pollutant advection in the strait of Gibraltar, that demonstrate the performance, accuracy, and the flexibility of the RWPT method to examine the process of pollutant convection by comparing predictions with those from the Eulerian approach. The Lagrangian approach is shown to have advantages in terms of the high level of simplicity and stability relative to the Eulerian approach. UR - https://jacm.scu.ac.ir/article_15977.html L1 - https://jacm.scu.ac.ir/article_15977_8f0cdaa40a5d06159e5fff47d92f77c7.pdf ER -