Solute Transport Control at Channel Junctions Using Adjoint Sensitivity

Water quality control and the of contaminant spill in water particular are becoming a primary need today. Gradient descent sensitivity methods based on adjoint formulation have proved to be encouraging techniques this context for river channel flows. Taking into account that most channels rivers include junctions with other branches, objective study is explore technique network reconstruct upstream boundary condition convection-reaction equation. For purpose, one-dimensional shallow equations transport equation reactive solute considered. The formulated through gradient-descent supplied first-order iterative process. Both physical suitable internal conditions at junction numerically solved using finite volume upwind scheme. results reveal capable reconstructing inlet concentration an acceptable number iterations both steady state transient configurations downstream measurement location. It was also observed reconstruction tends less effective further away station from target.