Imperial College London
Alternate

ProfessorMatthewPiggott

Faculty of Engineering, Department of Earth Science & Engineering

Professor of Computational Geoscience and Engineering
 
 
 
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Contact

 

m.d.piggott Website

 
 
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Location

 

4.82Royal School of MinesSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Pan:2019:10.1016/j.ocemod.2019.01.003,
author = {Pan, W and Kramer, S and Piggott, M},
doi = {10.1016/j.ocemod.2019.01.003},
journal = {Ocean Modelling},
pages = {68--83},
title = {Multi-layer non-hydrostatic free surface modelling using the discontinuous Galerkin method},
url = {http://dx.doi.org/10.1016/j.ocemod.2019.01.003},
volume = {134},
year = {2019}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - A multi-layer non-hydrostatic version of the unstructured mesh, discontinuous Galerkinfinite element based coastal ocean model, Thetis, is developed. This is accomplishedusing the PDE solver framework, Firedrake, which is used to automatically produce thecode for the discretised model equations in a rapid and efficient manner. The motivationfor this work is a need to accurately simulate dispersive nearshore free surface processes.In order to resolve both frequency dispersion and non-linear effects accurately, additional non-hydrostatic terms are included in the layer-integrated hydrostatic equations,producing a form similar to the layered non-linear shallow water equations, but withextra vertical velocities at the layer interfaces. An implementation process is adoptedto easily handle the inter-layer connection, i.e. the governing equations are transformedinto a depth-integrated system through the introduction of depth-averaged variables.The model is verified and validated through comparisons against several idealisedand experimentally-based test cases. All the comparisons demonstrate good agreement,showing that the developed non-hydrostatic model has excellent capabilities in representing coastal wave phenomena including shoaling, refraction and diffraction of dispersive short waves, as well as propagation, run-up and inundation of non-linear tsunamiwaves.
AU  - Pan,W
AU  - Kramer,S
AU  - Piggott,M
DO  - 10.1016/j.ocemod.2019.01.003
EP  - 83
PY  - 2019///
SN  - 1463-5003
SP  - 68
TI  - Multi-layer non-hydrostatic free surface modelling using the discontinuous Galerkin method
T2  - Ocean Modelling
UR  - http://dx.doi.org/10.1016/j.ocemod.2019.01.003
UR  - http://hdl.handle.net/10044/1/65463
VL  - 134
ER  -
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