Applying Upwind Difference and Central Difference to Discrete N-S Equation Described by Stream Function

Fei Han Wang; Guo Xin Yan; Shi Jiang Zhu

doi:10.4028/www.scientific.net/AMR.950.205

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HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 950Applying Upwind Difference and Central Difference...

Applying Upwind Difference and Central Difference to Discrete N-S Equation Described by Stream Function

Abstract:

To study sudden expansion flow, it took N-S equation described by stream function as governing equation and got discrete equations with upwind difference and central difference. The discrete equations are applied to calculate sudden expansion flow. The results showed that when the Reynolds number is lower, stream function distribution calculated with central difference is similar to with upwind difference and that when the Reynolds number is higher, the calculation with central difference becomes unstable, even not converged. It showed that for sudden expansion flow, the upwind difference can simulate well and the results are satisfied

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Periodical:

Advanced Materials Research (Volume 950)

Pages:

205-208

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.950.205

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Online since:

June 2014

Authors:

Fei Han Wang*, Guo Xin Yan, Shi Jiang Zhu

Keywords:

Central Difference, Finite Difference Method, Sudden Expansion Flow, Upwind Difference

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* - Corresponding Author

References

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