Simulation of flow around two-dimensional blunt body based on the viscous vortex domain method

The mesh generation is indispensable for traditional CFD methods, but it usually takes a long time, especially for complex geometries. By comparison, the mesh-free viscous vortex domain (VVD) method is getting increasingly more attention for flow field simulation and has undergone significant development recently. This paper first verifies the accuracy of VVD by simulating the flow field around a bluff body section and comparing the results with those of other CFD methods. Then, the governing equations for the three steps of VVD, vorticity generation, vorticity evolution, and aerodynamic calculation, are derived, based on which a flow field calculation program is developed using Lua language. Finally, use Gnuplot to visualize the flow field. VVD is used to simulate flow fields around a circular cylinder at different Reynolds numbers, the aerodynamic histories of a vibrating circular cylinder at different dimensionless frequencies and amplitudes, and the flow fields around a rectangular cylinder at different wind angles. Results show that when the Reynolds number is between 2 × 10² and 1 × 10⁵, the flow fields around a circular cylinder obtained on the VVD method are consistent with those of other methods. Moreover, the aerodynamics of a rectangular cylinder with different wind angles based on this method have the same trend as those reported in previous studies.