Development of higher order numerical procedures for the solution of fluid flow and heat transfer equations
The objective was to develop and analyze two higher order numerical schemes for the solution of fluid flow and heat transfer equations. These schemes are derived on the same theme as the well known exponential differencing scheme. The exponential differencing scheme is based on the locally one dimensional profile assumption that the total flux (i.e. conduction and diffusion) is constant between grid points. Therefore, if the problem is one-dimensional and the source term in the convection-diffusion equation is equal to zero, the exponential scheme will produce the exact solution. However, most practical problems are multidimensional and involve significant source terms. For such problems, the exponential scheme is generally not very accurate. Shortcomings of the exponential scheme provided the motivation for this thesis. Two higher-order numerical schemes are presented that indirectly take the source term effect into account when computing the total flux. Although the proposed new schemes are also locally one-dimensional, the improved treatment of the flux calculation is found to result in reduced cross wind diffusion.
- Research Organization:
- Rensselaer Polytechnic Inst., Troy, NY (USA)
- OSTI ID:
- 5815988
- Resource Relation:
- Other Information: Thesis (Ph. D.)
- Country of Publication:
- United States
- Language:
- English
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