Abstract In this paper we extend the application of unstructured high-order finite-volume central-weighted essentially non-oscillatory (CWENO) schemes to multicomponent flows using interface capturing paradigm. The developed method achieves accurate solution in smooth regions, while providing oscillation free solutions at discontinuous regions. are inherently compact sense that central stencils...

This paper presents a novel semi-implicit hybrid finite volume / element (FV/FE) scheme for the numerical solution of incompressible and weakly compressible Navier-Stokes equations on moving unstructured meshes using direct Arbitrary-Lagrangian-Eulerian (ALE) formulation. The is based suitable splitting governing partial differential into subsystems employs staggered grid arrangement, where pre...

Two-dimensional Euler equations have been solved on an unstructured grid. An upwind finite volume scheme, based on Roe's flux difference splitting method, is used to discretize the equations. Using advancing front method, an initial Delaunay triangulation has been made. The adaptation procedure involves mesh enrichment coarsening in regions of flow with high low gradients of flow properties, ac...

The paper documents the development of a global nonhydrostatic finite-volume module designed to enhance an established spectral-transform based numerical weather prediction (NWP) model. The module adheres to NWP standards, with formulation of the governing equations based on the classical meteorological latitudelongitude spherical framework. In the horizontal, a bespoke unstructured mesh with f...

In some of the engineering problems, it is necessary to analyze the three-dimensional temperature profiles. In order to solve a typical problem numerically, the three-dimensional temperature diffusion equation is chosen as the mathematical model. The finite volume formulation is derived using Galerkin approach for the mesh of tetrahedral elements, which facilitates solving temperature problems ...