Electric-generation expansion-analysis system. Volume 3. Computer program user's manual. Final report

1983 ◽  
Author(s):  
W. Fleck ◽  
L. Charny
Keyword(s):  
Computer Program ◽  
Final Report ◽  
Generation Expansion ◽  
Electric Generation ◽  
Analysis System ◽  
System Volume

scholarly journals Calculation of Multiple Critical Depths in Open Channels Using an Adaptive Cubic Polynomials Algorithm

Water ◽  
2020 ◽  
Vol 12 (3) ◽  
pp. 799 ◽  
Author(s):  
Ioannis Petikas ◽  
Evangelos Keramaris ◽  
Vasilis Kanakoudis
Keyword(s):  
Computer Program ◽  
Specific Energy ◽  
Simple Formula ◽  
The Other ◽  
Critical Depth ◽  
Compound Channel ◽  
Local Minima ◽  
Analysis System ◽  
Cubic Polynomials ◽  
The Given

A method for the calculation of multiple critical depths in compound and natural channels, using an adaptive cubic polynomials algorithm (ACPA), is presented in this paper. The algorithm is based on the approximation of the specific energy with multiple cubic polynomials. The roots of these polynomials’ derivatives are determined to calculate all local minima and maxima. These extremities yield the critical depths. Furthermore, the Froude number can be calculated at any elevation by applying a simple formula after calculating the derivative of the corresponding polynomial, which contains the given elevation. The algorithm developed was tested on various compound and natural channels. Its results were then compared with the results provided by the HEC-RAS (Hydrologic Engineering Center – River Analysis System) computer program, proving that in some cases ACPA results were more accurate than those of HEC-RAS. This has to do with the fact that HEC-RAS algorithm determines a single critical depth and is better fitted to simple prismatic channels. On the other hand, the ACPA algorithm is able to calculate all critical depths of a natural or compound channel, providing thus more accurate results.

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