Conservative smoothing on an adaptive quadrilateral grid
type: Item
instance of: scholarly article
title: Conservative smoothing on an adaptive quadrilateral grid
zbMATH Open document ID: 0929.65059
author: K. Appert
published in: Journal of Computational Physics
publication date: 2000-01-11T00:00:00Z
review text: The Lax-Wendroff scheme can be freed of spurious oscillations by introducing conservative smoothing. In this paper the approach is first tested in 1-D modeling equations and then extended to multidimensional flows by the finite volume method. The scheme is discretized by a space-splitting method on an adaptive quadrilateral grid. The artificial viscosity coefficients in the conservative smoothing step are specially designed to capture slipstreams and vortices. Algorithms are programmed using a vectorizable data structure, under which not only the flow solver but also the adaptation procedure is well vectorized. The good resolution and high efficiency of the approach are demonstrated in calculating both unsteady and steady compressible flows with either weak or strong shock waves.
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M50
Mathematics Subject Classification ID: 76N15
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 1278953
zbMATH Keywords: central scheme
zbMATH Keywords: Euler equation
zbMATH Keywords: conservative smoothing
zbMATH Keywords: adaptive
zbMATH Keywords: vectorization
zbMATH Keywords: quadrilateral grid
zbMATH Keywords: Lax-Wendroff scheme
zbMATH Keywords: finite volume method
zbMATH Keywords: algorithms
zbMATH Keywords: shock waves
reviewed by: Song Jiang
MaRDI profile type: Publication
full work available at URL: jcph.1998.6167
OpenAlex ID: W2095392334
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DOI: 10.1006/JCPH.1998.6167
description: scientific article; zbMATH DE number 1278953