Computation of flow-induced stresses in a structure using a hybrid momentum equation approach

In this paper, we present a method to formulate momentum equations for computing flow-induced stresses in a structure. The momentum equations for fluids and solids are cast into a common form, which when integrated over a computational cell generates a hybrid momentum equation customised to fluid-solid interface configurations. The resulting equation can be solved by a proper numerical method for computational fluid dynamics, such as the SIMPLE algorithm. This approach has been applied to Poiseuille flow between two parallel plates and lid-driven cavity flow in a solid container. Simulation results show a good agreement with the ABAQUS™ results.