Název:	Mesh convergence error estimations for compressible inviscid fluid flow over airfoil cascades using multiblock structured mesh
Autoři:	Tater, Adam Holman, Jiří
Citace zdrojového dokumentu:	Applied and Computational Mechanics. 2023, vol. 17, no. 1, p. 71-84.
Datum vydání:	2023
Nakladatel:	University of West Bohemia
Typ dokumentu:	article
URI:	http://hdl.handle.net/11025/54295
ISSN:	1802-680X (Print) 2336-1182 (Online)
Klíčová slova:	křídlová kaskáda;index konvergence mřížky;2D tok nevazké tekutiny;NACA 65 series;strukturovaná síťovina
Klíčová slova v dalším jazyce:	airfoil cascade;grid convergence index;2D inviscid fluid flow;NACA 65 series;structured mesh
Abstrakt v dalším jazyce:	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.
Práva:	© University of West Bohemia
Vyskytuje se v kolekcích:	Volume 17, number 1 (2023) Volume 17, number 1 (2023)

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