Wind tunnel testing is the standard procedure for assessment of the aerodynamic behaviour of bridge decks today. Numerical methods, however, can provide a suitable supplement and further insight into flow properties. The two-dimensional Discrete Vortex Method is discussed as a means to solve the underlying Navier-Stokes Equations numerically. This well-known technique, which has been extensively used for the study of aeroelastic phenomena due to its flexibility and speed, has been extended by a novel hybrid Particle-Mesh algorithm. This approach allows a highly efficient particle velocity computation. Thus, a large number of computational elements can be used such that high-resolution simulations can be performed at modest computational cost. Applications of the computer code to problems in the field of wind engineering of structures are presented. A high level of spatial and temporal resolution is used. It is concluded that such computations can provide important design guidance through fast-track aerodynamic testing.