Abstract Domain decomposition (DD) is a powerful approach to numerically solve partial
differential equations, and it has become popular and indispensable in simulations of fluid …

To tackle the challenging near-wall turbulence modeling while preserving low computational
cost, the near-wall nonoverlapping domain decomposition (NDD) method is proposed …

A study of an alternating Schwarz domain decomposition method for a time evolution
Rayleigh-Bénard problem is presented. The model equations are Navier-Stokes, continuity …

For modeling turbulent flow, the near-wall domain decomposition (NDD) approach initially
proposed by the second author and recently developed in a number of papers proved to be …

Near-wall turbulence modeling represents one of challengers in the computational fluid
dynamics. To tackle this problem, the near-wall non-overlapping domain decomposition …

This work presents the state of the art in the theory of potentials for the solutions of systems
of linear difference equations, which was proposed by the author in 1969. The role played …

A near-wall domain decomposition method for use in turbulence modelling is applied to the
k-ω SST, Spalart–Allmaras and BL-v 2‾/k turbulence models. The near-wall region is …

Near-wall turbulence modeling is a very computationally expensive problem. A new
approach suggested here allows us to avoid calculations of the region with high gradients in …

In this work, an alternate Schwarz domain decomposition method is proposed to solve a
Rayleigh–Bénard problem. The problem is modeled with the incompressible Navier–Stokes …

In near-wall turbulence modeling it is necessary to resolve a thin boundary layer containing
high gradients of the solution. An accurate enough resolution of such a layer can take most …