Assessment of high-order finite volume methods on unstructured meshes for RANS solutions of aeronautical configurations

Antonis F. Antoniadis, Panagiotis Tsoutsanis, Dimitris Drikakis

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

This paper is concerned with the application of k-exact finite volume methods for compressible Reynolds-Averaged Navier-Stokes computations of flows around aeronautical configurations including the NACA0012, RAE2822, MDA30P30N, ONERA-M6, CRM and DLR-F11. High-order spatial discretisation is obtained with the Weighted Essentially Non-Oscillatory and the Monotone-Upstream Central Scheme for Conservation Laws methods on hybrid unstructured grids in two- and three- dimensions. Schemes of fifth, third and second order comprise the foundation of the analysis, with main findings suggesting that enhanced accuracy can be obtained with at least a third-order scheme. Steady state solutions are achieved with the implicit approximately factored Lower-Upper Symmetric Gauss-Seidel time advancing technique, convergence properties of each scheme are discussed. The Spalart-Allmaras turbulence model is employed where its discretisation with respect to the high-order framework is assessed. A low-Mach number treatment technique is studied, where recovery of accuracy in low speed regions is exemplified. Results are compared with referenced data and discussed in terms of accuracy, grid dependence and computational budget.

LanguageEnglish
Pages86-104
Number of pages19
JournalComputers and Fluids
Volume146
Early online date3 Jan 2017
DOIs
Publication statusPublished - 26 Mar 2017

Fingerprint

Finite volume method
Turbulence models
Mach number
Conservation
Recovery

Keywords

  • aeronautical configurations
  • high-order
  • hybrid unstructured grids
  • k-exact
  • RANS
  • WENO
  • finite volume method
  • reynolds averaged navier-stokes

Cite this

Antoniadis, Antonis F. ; Tsoutsanis, Panagiotis ; Drikakis, Dimitris. / Assessment of high-order finite volume methods on unstructured meshes for RANS solutions of aeronautical configurations. In: Computers and Fluids. 2017 ; Vol. 146. pp. 86-104.
@article{6fa08f2abbed4a01a9d2e633b42f82c2,
title = "Assessment of high-order finite volume methods on unstructured meshes for RANS solutions of aeronautical configurations",
abstract = "This paper is concerned with the application of k-exact finite volume methods for compressible Reynolds-Averaged Navier-Stokes computations of flows around aeronautical configurations including the NACA0012, RAE2822, MDA30P30N, ONERA-M6, CRM and DLR-F11. High-order spatial discretisation is obtained with the Weighted Essentially Non-Oscillatory and the Monotone-Upstream Central Scheme for Conservation Laws methods on hybrid unstructured grids in two- and three- dimensions. Schemes of fifth, third and second order comprise the foundation of the analysis, with main findings suggesting that enhanced accuracy can be obtained with at least a third-order scheme. Steady state solutions are achieved with the implicit approximately factored Lower-Upper Symmetric Gauss-Seidel time advancing technique, convergence properties of each scheme are discussed. The Spalart-Allmaras turbulence model is employed where its discretisation with respect to the high-order framework is assessed. A low-Mach number treatment technique is studied, where recovery of accuracy in low speed regions is exemplified. Results are compared with referenced data and discussed in terms of accuracy, grid dependence and computational budget.",
keywords = "aeronautical configurations, high-order, hybrid unstructured grids, k-exact, RANS, WENO, finite volume method, reynolds averaged navier-stokes",
author = "Antoniadis, {Antonis F.} and Panagiotis Tsoutsanis and Dimitris Drikakis",
year = "2017",
month = "3",
day = "26",
doi = "10.1016/j.compfluid.2017.01.002",
language = "English",
volume = "146",
pages = "86--104",
journal = "Computers and Fluids",
issn = "0045-7930",

}

Assessment of high-order finite volume methods on unstructured meshes for RANS solutions of aeronautical configurations. / Antoniadis, Antonis F.; Tsoutsanis, Panagiotis; Drikakis, Dimitris.

In: Computers and Fluids, Vol. 146, 26.03.2017, p. 86-104.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Assessment of high-order finite volume methods on unstructured meshes for RANS solutions of aeronautical configurations

AU - Antoniadis, Antonis F.

AU - Tsoutsanis, Panagiotis

AU - Drikakis, Dimitris

PY - 2017/3/26

Y1 - 2017/3/26

N2 - This paper is concerned with the application of k-exact finite volume methods for compressible Reynolds-Averaged Navier-Stokes computations of flows around aeronautical configurations including the NACA0012, RAE2822, MDA30P30N, ONERA-M6, CRM and DLR-F11. High-order spatial discretisation is obtained with the Weighted Essentially Non-Oscillatory and the Monotone-Upstream Central Scheme for Conservation Laws methods on hybrid unstructured grids in two- and three- dimensions. Schemes of fifth, third and second order comprise the foundation of the analysis, with main findings suggesting that enhanced accuracy can be obtained with at least a third-order scheme. Steady state solutions are achieved with the implicit approximately factored Lower-Upper Symmetric Gauss-Seidel time advancing technique, convergence properties of each scheme are discussed. The Spalart-Allmaras turbulence model is employed where its discretisation with respect to the high-order framework is assessed. A low-Mach number treatment technique is studied, where recovery of accuracy in low speed regions is exemplified. Results are compared with referenced data and discussed in terms of accuracy, grid dependence and computational budget.

AB - This paper is concerned with the application of k-exact finite volume methods for compressible Reynolds-Averaged Navier-Stokes computations of flows around aeronautical configurations including the NACA0012, RAE2822, MDA30P30N, ONERA-M6, CRM and DLR-F11. High-order spatial discretisation is obtained with the Weighted Essentially Non-Oscillatory and the Monotone-Upstream Central Scheme for Conservation Laws methods on hybrid unstructured grids in two- and three- dimensions. Schemes of fifth, third and second order comprise the foundation of the analysis, with main findings suggesting that enhanced accuracy can be obtained with at least a third-order scheme. Steady state solutions are achieved with the implicit approximately factored Lower-Upper Symmetric Gauss-Seidel time advancing technique, convergence properties of each scheme are discussed. The Spalart-Allmaras turbulence model is employed where its discretisation with respect to the high-order framework is assessed. A low-Mach number treatment technique is studied, where recovery of accuracy in low speed regions is exemplified. Results are compared with referenced data and discussed in terms of accuracy, grid dependence and computational budget.

KW - aeronautical configurations

KW - high-order

KW - hybrid unstructured grids

KW - k-exact

KW - RANS

KW - WENO

KW - finite volume method

KW - reynolds averaged navier-stokes

UR - http://www.scopus.com/inward/record.url?scp=85009471307&partnerID=8YFLogxK

U2 - 10.1016/j.compfluid.2017.01.002

DO - 10.1016/j.compfluid.2017.01.002

M3 - Article

VL - 146

SP - 86

EP - 104

JO - Computers and Fluids

T2 - Computers and Fluids

JF - Computers and Fluids

SN - 0045-7930

ER -