Potential Flow Interactions among Multiple Immersed Bodies Using Body-Conforming Grid Generation and a Multi-Point Constraint Framework for Stream Function Determination

An efficient and robust methodology for the rapid generation of high-quality, body-conforming grids in two-dimensional domains containing multiple immersed solid bodies is employed to generate the mesh and to investigate potential flow interactions in a \(\:{90}^{\circ\:}\) flow turning configuration. The proposed approach significantly reduces the setup time for CFD analysis while maintaining grid quality in the vicinity of complex geometries. A systematic parametric study is carried out by varying the number of bodies, their sizes, and their locations upstream of the exit section in order to assess the resulting uniformity of the exit flow. In addition, the constant stream function values associated with the immersed bodies are computed using a multi-point constraint formulation implemented within a conjugate gradient method for symmetric systems, thereby clarifying the influence of potential interaction effects on the inter-body flow distribution.