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Accurate Monotonicity - Preserving Schemes With Runge-Kutta Time SteppingA new class of high-order monotonicity-preserving schemes for the numerical solution of conservation laws is presented. The interface value in these schemes is obtained by limiting a higher-order polynominal reconstruction. The limiting is designed to preserve accuracy near extrema and to work well with Runge-Kutta time stepping. Computational efficiency is enhanced by a simple test that determines whether the limiting procedure is needed. For linear advection in one dimension, these schemes are shown as well as the Euler equations also confirm their high accuracy, good shock resolution, and computational efficiency.
Document ID
19970010128
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Suresh, A. (NYMA, Inc. Brook Park, OH United States)
Huynh, H. T. (NASA Lewis Research Center Cleveland, OH United States)
Date Acquired
September 6, 2013
Publication Date
January 1, 1997
Subject Category
Fluid Mechanics And Heat Transfer
Report/Patent Number
NASA-TM-107367
AIAA-97-2037
E-10532
NAS 1.15:107367
Report Number: NASA-TM-107367
Report Number: AIAA-97-2037
Report Number: E-10532
Report Number: NAS 1.15:107367
Meeting Information
Meeting: CFD Conference
Location: Snowmass,CO
Country: United States
Start Date: June 29, 1997
End Date: July 2, 1997
Sponsors: American Inst. of Aeronautics and Astronautics
Accession Number
97N15360
Funding Number(s)
CONTRACT_GRANT: NAS3-27186
PROJECT: RTOP 505-62-52
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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