A coupled BEM and arbitrary Lagrangian-Eulerian FEM model for the solution of two-dimensional laminar flows in external flow fields

This paper describes a new computational model developed to solve two-dimensional incompressible viscous 1ow problems in external 1ow 3elds. The model based on the Navier–Stokes equations in primitivevariable s is ableto solvethein3niteboundary valueproble ms by extracting theboundary e:ects on a speci3ed 3nite computational domain, using the pressure projection method. The external 1ow 3eld is simulated using the boundary element method by solving a pressure Poisson equation that assumes thepre ssureas zero at thein3niteboundary. Themome ntum equation of the1ow motion is solved using the three-step 3nite element method. The arbitrary Lagrangian–Eulerian method is incorporated into the model, to solve the moving boundary problems. The present model is applied to simulate various external 1ow problems like 1ow across circular cylinder, acceleration and deceleration of the circular cylinder moving in a still 1uid and vibration of the circular cylinder induced by the vortex shedding. The simulation results are found to be very reasonable and satisfactory