ISSN:
0748-8025
Keywords:
Engineering
;
Engineering General
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Mathematics
,
Technology
Notes:
Order-of-magnitude deletion of the stream-wise diffusion terms leads to a reduced form of the Navier-Stokes equations. Solving the reduced equations for internal flows with single-sweep marching algorithms requires a severe minimum stream-wise step-size to avoid unstable solutions. This behaviour is shown to be predominantly due to a single term in the cross-stream momentum equation, uvx, which introduces a strong elliptic character into the equations. An order-of-magnitude deletion of this term reduces the minimum stream-wise step-size sufficiently for accurate solutions to be obtained. Further reduction of the transverse momentum equation on an order-of-magnitude basis removes all cross-stream velocity derivatives and completely eliminates the minimum stream-wise step-size condition for both swirling and non-swirling flows.
Additional Material:
1 Tab.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1002/cnm.1630020408
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