ISSN:
0271-2091
Keywords:
SHARP simulation
;
Third-order upwinding
;
Monotonic differencing
;
High convection
;
Resolution of discontinuities
;
Wiggles eliminated
;
Engineering
;
Engineering General
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
Notes:
For steady multi-dimensional convection, the QUICK scheme has several attractive properties. However, for highly convective simulation of step profiles, QUICK produces unphysical overshoots and a few oscillations, and this may cause serious problems in non-linear flows. Fortunately, it is possible to modify the convective flux by writing the ‘normalized’ convected control-volume face value as a function of the normalized adjacent upstream node value, developing criteria for monotonic resolution without sacrificing formal accuracy. This results in a non-linear functional relationship between the normalized variables, whereas standard methods are all linear in this sense. The resulting Simple High-Accuracy Resolution Program (SHARP) can be applied to steady multi-dimensional flows containing thin shear or mixing layers, shock waves and other frontal phenomena. This represents a significant advance in modelling highly convective flows of engineering and geophysical importance. SHARP is based on an explicit, conservative, control-volume flux formulation, equally applicable to one-, two-, or three-dimensional elliptic, parabolic, hyperbolic or mixed-flow regimes. Results are given for the bench-mark purely convective oblique-step test. The monotonic SHARP solutions are compared with the diffusive first-order results and the non-monotonic predictions of second- and third-order upwinding.
Additional Material:
24 Ill.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1002/fld.1650081013
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