TY - JOUR
T1 - A generalized, non-linear, diffusion wave equation
T2 - Theoretical development and application
AU - Sivapalan, Murugesu
AU - Bates, Bryson C.
AU - Larsen, Jens E.
N1 - Funding Information:
This work was supported in part by the CSIRO-UWA Collaborative Research Fund for the project entitled "Hydraulic Approach to Runoff Routing Models for Flood Estimation". During the course of this project the first author was also supported by the Land and Water Resources Research and Development Corporation (LWRRDC) and the Water Authority of Western Australia for a related project entitled "Extreme Flood Estimation in the South-West of Western Australia". This support is gratefully acknowledged. Hydrograph and hydraulic geometry data from the Murrumbidgee River in New South Wales, Australia, was provided by T.H.F. Wong of Monash University, Victoria, Australia.
PY - 1997/5
Y1 - 1997/5
N2 - The derivation of a generalized, non-linear, diffusion wave equation, which explicitly includes inertial effects, is presented. The generalized equation is an approximation to the Saint-Venant equations of order ε where ε is a characteristic ratio of the water surface slope to the bed slope. The derivations are carried out using a general expression for flow resistance, representing both friction and form drag. Some simplified forms of the generalized diffusion wave equation, useful for different practical applications, are given. A numerical finite difference model, solving a particular simplified form of the generalized equation, is used to simulate a number of observed floods in a natural river reach. The model is then used to investigate the effects of non-linearity on the characteristics of flood wave propagation.
AB - The derivation of a generalized, non-linear, diffusion wave equation, which explicitly includes inertial effects, is presented. The generalized equation is an approximation to the Saint-Venant equations of order ε where ε is a characteristic ratio of the water surface slope to the bed slope. The derivations are carried out using a general expression for flow resistance, representing both friction and form drag. Some simplified forms of the generalized diffusion wave equation, useful for different practical applications, are given. A numerical finite difference model, solving a particular simplified form of the generalized equation, is used to simulate a number of observed floods in a natural river reach. The model is then used to investigate the effects of non-linearity on the characteristics of flood wave propagation.
UR - http://www.scopus.com/inward/record.url?scp=0030615815&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0030615815&partnerID=8YFLogxK
U2 - 10.1016/S0022-1694(96)03116-2
DO - 10.1016/S0022-1694(96)03116-2
M3 - Article
AN - SCOPUS:0030615815
SN - 0022-1694
VL - 192
SP - 1
EP - 16
JO - Journal of Hydrology
JF - Journal of Hydrology
IS - 1-4
ER -