Isogeometric analysis for turbulent flow

TL;DR

This paper applies isogeometric analysis to simulate turbulent incompressible flow using RANS equations with k-omega models, emphasizing geometric exactness and mesh generation efficiency, validated against benchmark turbulent flow data.

Contribution

It introduces the use of isogeometric analysis for turbulent flow simulation, combining geometric accuracy with stabilization techniques for high Reynolds numbers.

Findings

Successful simulation of turbulent flow over a backward facing step

Demonstrated advantages of isogeometric analysis in turbulence modeling

Validated results against standard benchmark data

Abstract

The article is devoted to the simulation of viscous incompressible turbulent fluid flow based on solving the Reynolds averaged Navier-Stokes (RANS) equations with different k-omega models. The isogeometrical approach is used for the discretization based on the Galerkin method. Primary goal of using isogeometric analysis is to be always geometrically exact, independent of the discretization, and to avoid a time-consuming generation of meshes of computational domains. For higher Reynolds numbers, we use stabilization SUPG technique in equations for k and omega. The solutions are compared with the standard benchmark example of turbulent flow over a backward facing step.