Storage Routing links model the storage and movement of water through a length of a river (drainage link) using a hydrologic routing method. They can represent the travel time of water through a reach, the attenuation of flow rates due to channel shape, and roughness and reach processes.
...
The criterion expressed in Equation 18 is enforced is enforced as follows:
- For the power function with m=1, the function K(
) is in fact a fixed value of K and the original version of the Muskingum method is being used. A check is made to enforce the requirement that K ≤ dt/x; or - For the power function with m≠1 (and x>0), the value of K() can range between zero and infinity, presenting a potential stability problem. The flow/storage relationship must be modified to avoid this problem and the point at which this should be done is at the largest allowed slope dt/x. This gives:
...
Reiterating the section on "Form of the Routing Equation", by choosing the appropriate functional form and appropriate values of m and x, the following hydrologic routing methods can be replicated:
...
Clark, M.P. and Kavetski, D. (2010) Ancient numerical daemons of conceptual hydrological modeling: 1. Fidelity and efficiency of time stepping schemes, Water Resources Research, 46, W10510, doi:10.1029/2009WR0088942009WR008896.
Koussis, A.D. (1978) Theoretical estimation of flood routing parameters. J. Hydraul. Div. Am. Soc. Civ. Eng., 104(HY1): 109-115.
...
Laurenson, E.M. (1959) Storage analysis and flood routing in long rivers. Journal of Geophysical Research, 64(12): 2423-2431, doi:10.1029/JZ064i012p02423.
Linsley, R.K., Kohler, M.A. and Paulhus, J.L.H. (1949) Applied Hydrology. McGraw Hill, New York.
...
Perumal, M. (2010) Discussion of "Assessment and review of the hydraulics of storage flood routing 70 years after the presentation of the Muskingum method". Hydrological Sciences Journal, 55(8): 1427-1430, doi:10.1080/02626667.2010.491260.
Bibliography
Gill, M.A. (1978) Flood routing by the Muskingum method. Journal of Hydrology, 36: 353-363.
...