Numerical modelling of rapidly varied river flow
Lee, Sang-Heon (2010) Numerical modelling of rapidly varied river flow. PhD thesis, University of Nottingham.
A new approach to solve shallow water flow problems over highly irregular geometry both correctly' and efficiently is presented in this thesis. Godunov-type schemes which are widely used with the finite volume technique cannot solve the shallow water equations correctly unless the source terms related to the bed slope and channel width variation are discretized properly, because Godunov-type schemes were developed on the basis of homogeneous governing equations which is not compatible with an inhomogeneous system.
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