Automatic 2D high-order viscous mesh generation by spring-field and vector-adding

This paper describes an automatic, complex geometries applicable, unstructured curvilinear 2D mesh generation method; It provides virtual boundary layer-like near-body grids coupled with smooth progression of off-body grids for viscous flow simulations. This method allows for the generation of near-body and off-body grids in one piece at the same phase to avoid mesh quality problems in transition areas. Different from most curvilinear viscous mesh generation approaches, this method is direct by using a simple vector-adding approach, which obviates a linear or nonlinear elasticity analogy but still guarantees positive Jacobians if preconditions are satisfied. In addition, transformation from linear to curvilinear meshes can be achieved by only deforming the necessary edges of the elements near domain boundaries while retaining the remaining non-curved edges to benefit the numerical simulation solvers.