ISSN:
0029-5981
Keywords:
Engineering
;
Engineering General
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Mathematics
,
Technology
Notes:
Although it is now well known that first-order convection schemes suffer from serious inaccuracies attributable to artificial viscosity or numerical diffusion under high-convection conditions, these methods continue to enjoy widespread popularity for numerical heat-transfer calculations, apparently owing to a perceived lack of viable high-accuracy alternatives. But alternatives are available. For example, non-oscillatory methods used in gasdynamics, including currently popular ‘TVD’ schemes, can be easily adapted to multidimensional incompressible flow and convective transport. This, in itself, would be a major advance for numerical convective heat transfer, for example. But, as this paper shows, second-order TVD schemes form only a small, overly restrictive, subclass of a much more universal, and extremely simple, non-oscillatory flux-limiting strategy which can be applied to convection schemes of arbitrarily high-order accuracy, while requiring only a simple tridiagonal ADI line-solver, as used in the majority of general-purpose iterative codes for incompressible flow and numerical heat transfer. The new universal limiter and associated solution procedures form the so-called ULTRA-SHARP alternative for high-resolution non-oscillatory multidimensional steady-state high-speed convective modelling.
Additional Material:
38 Ill.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1002/nme.1620300412
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