ENO schemes with subcell resolution

In this paper, we introduce the notion of subcell resolution, which is based on the observation that unlike point values, cell-averages of a discontinuous piecewise-smooth function contain information about the exact location of the discontinuity within the cell. Using this observation we design an...

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Bibliographic Details
Published inJournal of computational physics Vol. 83; no. 1; pp. 148 - 184
Main Author Harten, Ami
Format Journal Article
LanguageEnglish
Published Legacy CDMS Elsevier Inc 01.07.1989
Elsevier
Subjects
Computational techniques
Exact sciences and technology
Mathematical methods in physics
Numerical Analysis
Physics
Polynomial
Boundary condition
Partial differential equation
Calculating method
Solution
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Summary:In this paper, we introduce the notion of subcell resolution, which is based on the observation that unlike point values, cell-averages of a discontinuous piecewise-smooth function contain information about the exact location of the discontinuity within the cell. Using this observation we design an essentially non-oscillatory (ENO) reconstruction technique which is exact for cell averages of discontinuous piecewise-polynomial functions of the appropriate degree. Later on we incorporate this new reconstruction technique into Godunov-type schemes in order to produce a modification of the ENO schemes which prevents the smearing of contact discontinuities.
Bibliography:CDMS
Legacy CDMS
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0021-9991
1090-2716
DOI:10.1016/0021-9991(89)90226-X