When establishing the spatial resolution character of a composite compact finite differencing template for high-order field solutions, the stencils selected at nonperiodic 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 that lead to improved predictions of the salient problem physics. Compact boundary stencils with free parameters to minimize the field dispersion (or phase error) and dissipation are included in the procedure. Application of the coupled templates for resolving the viscous Burgers wave and two-dimensional acoustic scattering reveal significant differences in the predictive error.
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July 2008
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Understanding the Boundary Stencil Effects on the Adjacent Field Resolution in Compact Finite Differences
Stephen A. Jordan
Stephen A. Jordan
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Stephen A. Jordan
J. Fluids Eng. Jul 2008, 130(7): 074502 (7 pages)
Published Online: June 25, 2008
Article history
Received:
May 31, 2007
Revised:
April 5, 2008
Published:
June 25, 2008
Citation
Jordan, S. A. (June 25, 2008). "Understanding the Boundary Stencil Effects on the Adjacent Field Resolution in Compact Finite Differences." ASME. J. Fluids Eng. July 2008; 130(7): 074502. https://doi.org/10.1115/1.2948366
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