ISOD – an anisotropic isovalue-oriented diffusion artificial viscosity for the Euler and Navier–Stokes equations

This paper introduces a generic artificial viscosity method based on diffusing along iso-values (curves in 2D and surfaces in 3D). The construction and a study of properties of the method are presented. Application to FEM for the Euler and Navier–Stokes equations is established. The performance of the proposed method is demonstrated through numerical tests and comparison to other classical methods.