Spurious scattering from discontinuously stretching grids in computational fluid dynamics

Spurious scattering from discontinuously stretching grids in computational fluid dynamics

We show that spurious wave scattering occurs on a nonuniform grid where hyperbolic equations are approximated with finite differences when the function that describes grid size versus position has a discontinuous first derivative. The expression of the corresponding reflection ratio is derived, and...

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Veröffentlicht in:Applied numerical mathematics 1991, Vol.8 (3), p.289-299
Hauptverfasser: Vichnevetsky, R., Turner, L.H.
Format: Artikel
Sprache:eng
Schlagworte:
Exact sciences and technology
Mathematical methods in physics
numerical analysis
Physics
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Beschreibung
Zusammenfassung:We show that spurious wave scattering occurs on a nonuniform grid where hyperbolic equations are approximated with finite differences when the function that describes grid size versus position has a discontinuous first derivative. The expression of the corresponding reflection ratio is derived, and is verified with experimental data.
ISSN:0168-9274
1873-5460
DOI:10.1016/0168-9274(91)90058-8