About the quasihydrodynamic approach for simulation of internal wave attractors

On the example of the problem of modeling wave attractors in a stratified fluid, the advantages of the quasi-hydrodynamic (QHD) algorithm over the classical algorithm for splitting operators PISO are demonstrated. The PISO algorithm for solving the NavierStokes equations by the finite volume method and its specific implementation based on the OpenFOAM open-source software package is considered. It is shown that the use of the PISO algorithm does not reproduce the dynamics of multiple reflection and focusing of internal waves in a stratified fluid during interaction with the boundaries of the computational domain. This algorithm is compared with the QHDFoam algorithm for solving the Navier-Stokes equation based on regularized hydrodynamic equations. The application of the QHDFoam algorithm implemented in the OpenFOAM package gives results close to the data obtained using the high-order spectral-element method, which is considered a reference.