We design an unfitted hybrid high-order (HHO) method for the wave equation. The propagates in a domain where curved interface separates subdomains with different material properties. key feature of discretization is that can cut more or less arbitrarily through mesh cells. address both second-order formulation time equation and its reformulation as first-order system. prove H1-error estimates s...

This work focuses on high-order numerical schemes for conservation laws with emphasis on problems that admit discontinuous solutions. We will investigate several enabling techniques with the aim to construct robust methods for unstructured meshes capable of reliably producing globally high-order accurate results even in the presence of discontinuities. We use spectral and pseudo-spectral scheme...

Restrictions on computing power make direct numerical simulation too expensive for complex flows; thus, the development of accurate large eddy simulation (LES) methods, which are industrially applicable and efficient, is required. This paper reviews recent findings about the leading order dissipation rate associated with high-resolution methods and improvements to the standard schemes for use i...