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Water Resources Management

, Volume 9, Issue 3, pp 175–202 | Cite as

Errors of kinematic-wave and diffusion-wave approximations for time-independent flows

  • V. P. Singh
  • V. Aravamuthan
Article

Abstract

Time-independent (or steady-state) cases of planar (overland) flow were treated. Errors of the kinematic-wave and diffusion-wave approximations were derived for three types of boundary conditions: zero flow at the upstream end, and critical flow depth and zero depth-gradient at the downstream end. The diffusion wave approximation was found to be in excellent agreement with the dynamic wave approximation, with error in the range of 1–2% for values ofKF 0 2 (≥7.5). Even for small values ofKF 2 0 (e.g.,KF 2 0 =0.75), the errors were typically in the range of 11–15%. The accuracy of the diffusion wave approximation was greatly influenced by the downstream boundary condition. The error of the kinematic wave approximation was found to vary from 7 to 13% in the regions 0.05≤x≤0.95 forKF 0 2 =0.75 and was greater than 30% forKF 0 2 =0.75.

Key words

Time-Independent flows planar (overland) flow diffusion wave approximation dynamic wave approximation 

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References

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Copyright information

© Kluwer Academic Publishers 1995

Authors and Affiliations

  • V. P. Singh
    • 1
  • V. Aravamuthan
    • 1
  1. 1.Department of Civil and Environmental EngineeringLouisiana State UniversityBaton RougeUSA

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