Several competing artificial compressibility methods for the incompressible flow equations are examined using high-order flux reconstruction method. The established method (ACM) of \citet{Chorin1967} is compared to alternative entropically damped (EDAC) \citet{Clausen2013}, as well an ACM formulation with hyperbolised diffusion. While former requires solution be converged a divergence free stat...

We discuss the thermodynamic signatures for the topological phase transitions into Majorana and Weyl superfluid phases in ultracold Fermi gases in two and three dimensions (2D and 3D) in the presence of Rashba spin-orbit coupling and a Zeeman field. We analyze the thermodynamic properties exhibiting the distinct nature of the topological phase transitions linked with the Majorana fermions (2D F...

We report an artificial acoustic compressibility-near-zero medium made of a phononic crystal composed epoxy blocks arranged in square lattice. Its anisotropic effective density leads to linear cross its isofrequency contour the vicinity Brillouin zone center, as compressibility approaches zero. When Gaussian beam is normally incident on crystal, splitting effect achieved at frequency crossing p...

A method suitable for computing fluid flow in the presence of moving boundaries is presented. In particular, the interaction of fluid with elastic walls is considered. The flow solver was developed based on artificial compressibility concept. The discrretization is done on unstructured tetrahedral meshes. A model of fluid interaction with elastic boundaries including boundary and mesh deformati...

Variable density incompressible flows are governed by parabolic equations. The artificial compressibility method makes these equations hyperbolic-type, which means that they can be solved using techniques developed for compressible flows, such as Godunov-type schemes. While the is well-established, its application to variable has been largely neglected in literature. This paper harnesses recent...

Wave breaking is widely recognized as a very challenging phenomenon to emulate using numerical/computational methods. On that condition, the transition from modelling regular irregular waves not trivial. Even though some issues are surpassed in CFD simulations, there still two substantial problems account for. The first one entails proper generation of numerical wave tank, while second introduc...