When establishing the spatial resolution character of a composite compact finite differencing template for high-order field solutions, the stencils selected at non-periodic boundaries are commonly treated independent of the interior scheme. This position quantifies a false influence of the boundary scheme on the resultant interior dispersive and dissipative consequences of the compound template. Of the three ingredients inherent in the composite template, only its numerical accuracy and global stability have been properly treated in a coupled fashion. Herein, we present a companion means for quantifying the resultant spatial resolution properties. Compact boundary stencils with free parameters to minimize the field dispersion (or phase error) and dissipation are included in the proposed procedure. Application of the couples templates to Burgers equation at the non-periodic boundary showed significant differences in the predictive error.
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ASME 2006 2nd Joint U.S.-European Fluids Engineering Summer Meeting Collocated With the 14th International Conference on Nuclear Engineering
July 17–20, 2006
Miami, Florida, USA
Conference Sponsors:
- Fluids Engineering Division
ISBN:
0-7918-4750-0
PROCEEDINGS PAPER
The Effects of the Boundary Stencils on the Field Spatial Resolution When Using Compact Finite Differences Available to Purchase
Stephen A. Jordan
Stephen A. Jordan
Naval Undersea Warfare Center, Newport, RI
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Stephen A. Jordan
Naval Undersea Warfare Center, Newport, RI
Paper No:
FEDSM2006-98049, pp. 1303-1313; 11 pages
Published Online:
September 5, 2008
Citation
Jordan, SA. "The Effects of the Boundary Stencils on the Field Spatial Resolution When Using Compact Finite Differences." Proceedings of the ASME 2006 2nd Joint U.S.-European Fluids Engineering Summer Meeting Collocated With the 14th International Conference on Nuclear Engineering. Volume 1: Symposia, Parts A and B. Miami, Florida, USA. July 17–20, 2006. pp. 1303-1313. ASME. https://doi.org/10.1115/FEDSM2006-98049
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