The resolution of vortex structures is one of the most important problems in numerical fluid mechanics. The global goal of the present project is the development of numerical technologies with which a larger area of the vertebral scales is covered. Two strategies are pursued in the project. One is based on the further development of the vorticity confinement method in combination with the computational vortex method (CVM), while the other is based on a completely new concept of combining the grid-based finite volume method (FVM) and the grid-free vortex method (CVM) supports both methods to minimize numerical diffusion. As part of the vorticity confinement method, an additional term is introduced into the momentum equation, which works against numerical vortex diffusion. The additional term is determined on the basis of the CVM method. As part of the hybrid method, the vertebrae are divided into large-scale and small-scale structures, the former being modeled with FVM and the latter with CVM. The methods are validated on the basis of the high-resolution simulations with local adaptive network adaptation and with existing measurements in the wind tunnel. Both developments are strongly linked by a common goal, a jointly developed algorithm of vertebral structure identification, the implementation of both methods in FVM OpenFoam and the validation using the same test cases. The methods can be used for a wide range of fundamental and applied problems in fluid mechanics.