On the study of three-dimensional compressible Navier–Stokes equations

This work is devoted to the study of three-dimensional compressible Navier–Stokes equations on unstructured meshes. The approach used is based on separating the convection and diffusion parts. The convective flux is computed using the Godunov method. For the diffusive part, we present a new finite v...

Full description

Saved in:

Bibliographic Details
Published in:	Boundary value problems Vol. 2024; no. 1; pp. 84 - 17
Main Authors:	Abdelwahed, Mohamed, Bade, Rabe, Chaker, Hedia, Hassine, Maatoug
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 05-07-2024 Hindawi Limited SpringerOpen
Subjects:	Analysis Approximations and Expansions Boundary value problems Compressibility Difference and Functional Equations Finite volume method Fluid flow Fractional time step method Godunov method Interfaces Local and NonLocal Boundary value Problems Mathematics Mathematics and Statistics Navier-Stokes equations Nonlocal boundary condition Numerical integration Ordinary Differential Equations Partial Differential Equations Numerical integration 76N06 65N08 Finite volume method Fractional time step method Nonlocal boundary condition 35Q30
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	This work is devoted to the study of three-dimensional compressible Navier–Stokes equations on unstructured meshes. The approach used is based on separating the convection and diffusion parts. The convective flux is computed using the Godunov method. For the diffusive part, we present a new finite volume scheme. Numerical results are provided to demonstrate the efficiency of the developed technique.
ISSN:	1687-2770 1687-2762 1687-2770
DOI:	10.1186/s13661-024-01893-9