J.G. Zhou: ResProj-Zhou1.doc

MPhil / PhD Project

Supervisor(s) / Dr J.G.Zhou, Eur Ing T.S.Hedges /

Suitable for

(MPhil, MPhil/PhD, PhD) / MPhil
/PhD
Project Title / SGM with Turbulence Modelling for Wave Overtopping

Project Description

1.  Introduction:
Wave overtopping can be well described with shallow water equations, which govern many practical shallow flows in reality, e.g., tidal flows, waves, open channel flows and dam breaks. A numerical solution of the shallow water equations has become a very successful approach to a wide range of flow problems encountered in engineering. It is widely used as a design tool in water-related industries, such as predicting flooding and wave overtopping. Although a Riemann solver based method can provide an accurate solution to shallow water equations without source terms, it no longer produces an accurate solution if a source term is included. Such problem has been resolved with the new developed scheme called surface gradient method (SGM) by Zhou et al. (2001, 2002). It has been verified that the SGM can generate an accurate to the equations with source terms, which immediately provides a powerful design tool for environmental and coastal engineering. However, in the SGM method, neither flow turbulence is yet taken into account nor further investigation for more complex flows like wave overtopping is undertaken. This not only greatly limits its application in engineering but also lacks more validation. Therefore, this project will focus on development of an advanced shallow water model with flow turbulence for wave overtopping. The main objectives are (1) to develop the existing model for turbulent shallow water flows, (2) to verify the model, (3) to compare it with the wave overtopping model of Hedges and Reis (1998, 2004) and (4) to apply it to more practical flow problems.
(Visit http://pcwww.liv.ac.uk/~jzhou/ for more background information).
2.  References:
Hedges T.S. and Reis M.T. (1998) “Random wave overtopping of simple sea walls: a new regression model”, Proceedings of the Institution of Civil Engineers - Water, Maritime and Energy, Vol. 130(1): 1-10
Hedges, T.S. and Reis, M.T. (2004) “Accounting for random wave run-up in overtopping predictions”, Maritime Engineering, Vol. 157(3): 113-122
Zhou, J.G.; Causon, D.M.; Mingham C.G. and Ingram, D.M. (2001) “The surface gradient method for the treatment of source terms in the shallow water equations”, Journal of Computational Physics, Vol. 168(1):1-25
Zhou, J.G.; Causon, D.M.; Ingram, D.M. and Mingham C.G. (2002) “Numerical solutions of the shallow water equations with discontinuous bed topography”, International Journal for Numerical Methods in Fluids. Vol. 38(8): 769-788
Funding

Source

/ Secured? (yes/no)
Funding details
Request for support by Departmental EPSRC funds? (yes/ no) / Yes
Candidate: special qualities/background required (e.g. 1st degree must include fluids)
2.1 with Fluid mechanics/ Hydraulics and reasonable programming skills
Submitted by / Dr J G Zhou / Date / 18/03/2009