Mesh convergence error estimations for compressible inviscid fluid flow over airfoil cascades using multiblock structured mesh

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21220%2F23%3A00366808" target="_blank" >RIV/68407700:21220/23:00366808 - isvavai.cz</a>

Result on the web

<a href="https://doi.org/10.24132/acm.2023.827" target="_blank" >https://doi.org/10.24132/acm.2023.827</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.24132/acm.2023.827" target="_blank" >10.24132/acm.2023.827</a>

Result language

angličtina

Original language name

Mesh convergence error estimations for compressible inviscid fluid flow over airfoil cascades using multiblock structured mesh

Original language description

This work deals with estimations of errors, which are a consequence of a finite spatial discretisation that appears while solving differential equation numerically. More precisely, it deals with the estimation of errors that occur while computing compressible inviscid fluid flow over 2D airfoil cascades. This flow is described by the 2D Euler equations that are solved by the finite volume method in their conservative form. Numerical computations are performed on structured meshes consisting of four blocks, so the number of cells in the mesh can be easily adjusted. In this work, two estimation methods are used. Firstly, the grid convergence index is used to estimate the amount of cells needed to obtain certain accuracy of the solution. Secondly, the Richardson extrapolation is used to approximate the exact solution from a series of solutions obtained with meshes of different sizes. This analysis is performed on a well-known compressor cascade, which is composed of NACA 65 series airfoils. The obtained results should lead to a reasonable choice of the number of elements in a computational mesh based on the required accuracy of the solution and therefore also to computational time reduction while performing airfoil cascade computations. The results indicate that even for very precision demanding applications, 100 000 is a sufficient number of cells in a mesh.

Czech name

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Czech description

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Type

J_SC - Article in a specialist periodical, which is included in the SCOPUS database

CEP classification

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OECD FORD branch

10102 - Applied mathematics

Project

<a href="/en/project/EF16_019%2F0000826" target="_blank" >EF16_019/0000826: Center of Advanced Aerospace Technology</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Publication year

2023

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Applied and Computational Mechanics

ISSN

1802-680X

e-ISSN

—

Volume of the periodical

17

Issue of the periodical within the volume

1

Country of publishing house

CZ - CZECH REPUBLIC

Number of pages

14

Pages from-to

71-84

UT code for WoS article

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EID of the result in the Scopus database

2-s2.0-85169845501