Numerical simulation of air flow around multiple objects using the discrete vortex method

Abstract

Abstract The discrete vortex method, a Lagrangian grid-free numerical technique, is employed to solve the two-dimensional Navier-Stokes equations for flow around multiple objects. The method, unlike the Eulerian approaches of finite differences and finite elements, avoids the introduction of numerical viscosity at high Reynolds numbers. A boundary integral equation method for the potential flow component is included here to make vortex simulations in and around complex geometries more feasible. A fast adaptive multipole expansion algorithm is incorporated into the code to reduce the time needed to calculate the vortex interactions. Test problems examined include flow around one circular cylinder, and two cylinders in tandem at various gaps. Numerical results are in excellent agreement with published experimental results and other computational studies. Applicability of the method to indoor and outdoor air pollution problems is discussed, specifically with regard to contaminant transport in recirculating regions.