Quasi-ENO schemes for unstructured meshes based on umlimited data-dependent least-squares reconstruction
type: Item
instance of: scholarly article
title: Quasi-ENO schemes for unstructured meshes based on umlimited data-dependent least-squares reconstruction
zbMATH Open document ID: 0899.76282
author: Carl Ollivier-Gooch
published in: Journal of Computational Physics
publication date: 1998-11-09T00:00:00Z
review text: The paper concerns with high-order reconstruction of functions from cell-averaged values as a part of ENO-type methods. The least-square approach is used for fixed stencils with data-dependent weights. As a result, the author obtains a set of derivatives in the Taylor expansion series needed for the reconstruction. One of the main feature of the technique is its direct applicability to multidimensional unstructured meshes. Numerical examples for third- and fourth-order methods applied to smooth function reconstruction and the Euler equations are presented. In the latter case, unstructured meshes were used to calculate transonic airfoil flow.
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76N10
zbMATH DE Number: 1036487
zbMATH Keywords: cell-averaged values
zbMATH Keywords: Taylor expansion series
zbMATH Keywords: Euler equations
zbMATH Keywords: smooth function reconstruction
zbMATH Keywords: transonic airfoil flow
reviewed by: A. I. Tolstykh
describes a project that uses: ANSLib
MaRDI profile type: Publication
full work available at URL: jcph.1996.5584
OpenAlex ID: W2091525236
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cites work: Q5185900
cites work: Multigrid acceleration of an upwind Euler solver on unstructured meshes
DOI: 10.1006/JCPH.1996.5584
description: scientific article; zbMATH DE number 1036487