WENO schemes on arbitrary unstructured meshes for laminar, transitional and turbulent flows

Panagiotis Tsoutsanis, Antonios Foivos Antoniadis, Dimitris Drikakis

Research output: Contribution to journalArticle

31 Citations (Scopus)

Abstract

This paper presents the development and implementation of weighted-essentially-non-oscillatory (WENO) schemes for viscous flows on arbitrary unstructured grids. WENO schemes up to fifth-order accurate have been implemented in conjunction with hybrid and non-hybrid unstructured grids. The schemes are investigated with reference to numerical and experimental results for the Taylor–Green vortex, as well as for laminar and turbulent flows around a sphere, and the turbulent shock-wave boundary layer interaction flow problem. The results show that the accuracy of the schemes depends on the arbitrariness of shape and orientation of the unstructured mesh elements, as well as the compactness of directional stencils. The WENO schemes provide a more accurate numerical framework compared to second-order and third-order total variation diminishing (TVD) methods, however, the fifth-order version of the schemes is computationally too expensive to make the schemes practically usable. On the other hand, the third-order variant offers an excellent numerical framework in terms of accuracy and computational cost compared to the fifth-order WENO and second-order TVD schemes. Parallelisation of the CFD code (henceforth labelled as UCNS3D), where the schemes have been implemented, shows that the present methods offer very good scalable performance.
LanguageEnglish
Pages254-276
Number of pages23
JournalJournal of Computational Physics
Volume256
Early online date11 Sep 2013
DOIs
Publication statusPublished - 1 Jan 2014

Fingerprint

essentially non-oscillatory schemes
Flow interactions
Viscous flow
laminar flow
Laminar flow
Shock waves
turbulent flow
Turbulent flow
mesh
Computational fluid dynamics
Boundary layers
Vortex flow
TVD schemes
Costs
void ratio
viscous flow
charge flow devices
shock waves
boundary layers
vortices

Keywords

  • WENO
  • hybrid mesh
  • turbulance
  • hypersonic

Cite this

Tsoutsanis, Panagiotis ; Antoniadis, Antonios Foivos ; Drikakis, Dimitris. / WENO schemes on arbitrary unstructured meshes for laminar, transitional and turbulent flows. In: Journal of Computational Physics. 2014 ; Vol. 256. pp. 254-276.
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WENO schemes on arbitrary unstructured meshes for laminar, transitional and turbulent flows. / Tsoutsanis, Panagiotis; Antoniadis, Antonios Foivos; Drikakis, Dimitris.

In: Journal of Computational Physics, Vol. 256, 01.01.2014, p. 254-276.

Research output: Contribution to journalArticle

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