NDLI: Multi-resolution analysis for eno schemes

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Multi-resolution analysis for eno schemes

Content Provider	NASA Technical Reports Server (NTRS)
Author	Harten, Ami
Copyright Year	1991
Description	Given an function, u(x), which is represented by its cell-averages in cells which are formed by some unstructured grid, we show how to decompose the function into various scales of variation. This is done by considering a set of nested grids in which the given grid is the finest, and identifying in each locality the coarsest grid in the set from which u(x) can be recovered to a prescribed accuracy. This multi-resolution analysis was applied to essentially non-oscillatory (ENO) schemes in order to advance the solution by one time-step. This is accomplished by decomposing the numerical solution at the beginning of each time-step into levels of resolution, and performing the computation in each locality at the appropriate coarser grid. An efficient algorithm for implementing this program in the 1-D case is presented; this algorithm can be extended to the multi-dimensional case with Cartesian grids.
File Size	810992
Page Count	24
File Format	PDF
Alternate Webpage(s)	http://archive.org/details/NASA_NTRS_Archive_19920002518
Archival Resource Key	ark:/13960/t4zh1jd23
Language	English
Publisher Date	1991-09-01
Access Restriction	Open
Subject Keyword	Numerical Analysis Conservation Laws Boundary Value Problems Algorithms Essentially Non-oscillatory Schemes Decomposition Computational Grids Functions Mathematics Cartesian Coordinates Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science
Content Type	Text
Resource Type	Article

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