ABSTRACT Rotationally supported, cold, gaseous discs are ubiquitous in astrophysics and appear a diverse set of systems, such as protoplanetary discs, accretion around black holes, or large spiral galaxies. Capturing the gas dynamics accurately these systems is challenging numerical simulations due to low sound speed compared bulk velocity gas, resolution limitations full disc models, fact that...

We propose to use a moving mesh approach, a popular grid adaption technique in computational mechanics, for fast generating low-stretch mesh parameterizations. Given a triangle mesh approximating a surface, we constrcut an initial parameterization of the mesh and then improve the parameterization gradually. At each improvement step, we optimize the parameterization generated at the previous ste...

A new closed advancing-layer method for generating high-aspectratio elements in the boundary-layer (BL) region is presented. This approach utilizes a recent changing topology moving mesh strategy for deforming the volume mesh as the BL is inflated. It handles very efficiently BL front collision and produces a natural smooth anisotropic blending between colliding layers. Moreover, it provides a ...