# School of Mathematics

## Prof Onno Bokhove

Professor of Geophysical Fluid Dynamics

Applied Mathematics

### Contact details

Room: 8.04

Tel: +44 (0)113 3439751

Email: O.Bokhove @ leeds.ac.uk

### Keywords

Geophysical Fluid Dynamics

Computational Fluid Dynamics

Laboratory Experiments

## Research interests

My particular interest is in the applied mathematics of Geophysical Fluid Dynamics: design and testing of laboratory configurations for validation of mathematical models, computational techniques for PDEs (discontinuous Galerkin FEM), Hamiltonian fluid dynamics, idealised models for weather prediction, and hydraulic solutions of hyperbolic systems.

### Useful links

Personal Home Page

Publications

## Current postgraduate students

Will Booker (2015)

Floriane Gidel (2014)

Thomas Kent (2013)

Erily Moulopoulou (2014)

Tomasz Salwa (2014)

## Publications

**van Oers AM, Maas LRM, Bokhove O** Hamiltonian discontinuous Galerkin FEM for linear, stratified (in)compressible Euler equations: internal gravity waves *Journal of Computational Physics*, **330**, 770-793, 2017

DOI:10.1016/j.jcp.2016.10.032

View abstract

**Gidel F, Bokhove O, Kalogirou A** Variational modelling of extreme waves through oblique interaction of solitary waves: Application to Mach reflection *Nonlinear Processes in Geophysics*, **24**, 43-60, 2017

DOI:10.5194/npg-24-43-2017

View abstract

**Kalogirou A, Moulopoulou EE, Bokhove O** Variational finite element methods for waves in a Hele-Shaw tank *Applied Mathematical Modelling*, **40**, 7493-7503, 2016

DOI:10.1016/j.apm.2016.02.036

View abstract

**Salwa TJ; Bokhove O; Kelmanson MA ** *Variational Coupling of Wave Slamming against Elastic Masts*Proceedings 31st International Workshop on Water Waves and Floating Bodies, 149-152 2016

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**Gagarina E, Ambati VR, Nurijanyan S, van der Vegt JJW, Bokhove O** On variational and symplectic time integrators for Hamiltonian systems *JOURNAL OF COMPUTATIONAL PHYSICS*, **306**, 370-389, 2016

DOI:10.1016/j.jcp.2015.11.049

**Salwa T; Bokhove O; Kelmanson MA ** *Variational modelling of wave-structure interactions for offshore wind turbines*Proceedings of the International Conference on Offshore Mechanics and Arctic Engineering - OMAE 2016

DOI:10.1115/OMAE2016-54897

View abstract

**Kalogirou A; Bokhove O ** *Mathematical and numerical modelling of wave impact on wave-energy buoys*Proceedings of the International Conference on Offshore Mechanics and Arctic Engineering - OMAE 2016

DOI:10.1115/OMAE2016-54937

View abstract

**Bokhove O, Kalogirou A** Variational Water Wave Modelling: from Continuum to Experiment. In *Lectures on the Theory of Water Waves*, **426**, 226-245, 2016

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**Gagarina E, Ambati VR, van der Vegt JJW, Bokhove O** Variational space-time (dis)continuous Galerkin method for nonlinear free surface water waves *Journal of Computational Physics*, **275**, 459-483, 2014

DOI:10.1016/j.jcp.2014.06.035

View abstract

**Thornton AR, van der Horn AJ, Gagarina E, Zweers W, van der Meer D, Bokhove O** Hele-Shaw beach creation by breaking waves: a mathematics-inspired experiment *Environmental Fluid Mechanics*, **14**, 1123-1145, 2014

DOI:10.1007/s10652-014-9350-7

View abstract

**Kristina W, Bokhove O, van Groesen E** Effective coastal boundary conditions for tsunami wave run-up over sloping bathymetry *Nonlinear Processes in Geophysics*, **21**, 987-1005, 2014

DOI:10.5194/npg-21-987-2014

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**Bokhove O; Van Der Horn AJ; Van Der Meer D; Thornton AR; Zweers W ** *On wave-driven "Shingle" beach dynamics in a table-top hele-shaw cell*Proceedings of the Coastal Engineering Conference 2014

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**Tunuguntla DR, Bokhove O, Thornton AR** A mixture theory for size and density segregation in shallow granular free-surface flows *Journal of Fluid Mechanics*, **749**, 99-112, 2014

DOI:10.1017/jfm.2014.223

View abstract

**Nurijanyan S, Bokhove O, Maas LRM** A new semi-analytical solution for inertial waves in a rectangular parallelepiped *Physics of Fluids*, **25**, 2013

DOI:10.1063/1.4837576

View abstract

**Nurijanyan S, van der Vegt JJW, Bokhove O** Hamiltonian discontinuous Galerkin FEM for linear, rotating incompressible Euler equations: Inertial waves *Journal of Computational Physics*, **241**, 502-525, 2013

DOI:10.1016/j.jcp.2013.01.017

View abstract

**Peeters B, Oliver M, Bokhove O, Molchanov V** On the rate of convergence of the Hamiltonian particle-mesh method *Lecture Notes in Computational Science and Engineering*, **89 LNCSE**, 25-43, 2013

DOI:10.1007/978-3-642-32979-1_2

View abstract

**Bokhove O, Gagarina E, Van der Vegt JJW** Horizontal circulation and jumps in Hamiltonian wave models *Nonlonear Processes in Geophysics*, **20**, 483-500, 2013

DOI:10.5194/npg-20-483-2013

View abstract

**Bokhove O; Zweers W; Zwart V ** *Making Waves: Visualizing Fluid Flows*Proceedings of Bridges 2013: Mathematics, Music, Art, Architecture, Culture, 515-519 2013

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**Thornton AR, Weinhart T, Luding S, Bokhove O** Frictional dependence of shallow-granular flows from discrete particle simulations. *Eur Phys J E Soft Matter*, **35**, 9804, 2012

DOI:10.1140/epje/i2012-12127-5

View abstract

**Thornton A, Weinhart T, Luding S, Bokhove O** Modeling of particle size segregation: Calibration using the discrete particle method *International Journal of Modern Physics C*, **23**, 2012

DOI:10.1142/S0129183112400141

View abstract

**Weinhart T, Thornton AR, Luding S, Bokhove O** Closure relations for shallow granular flows from particle simulations *Granular Matter*, **14**, 531-552, 2012

DOI:10.1007/s10035-012-0355-y

View abstract

**Weinhart T, Thornton AR, Luding S, Bokhove O** From discrete particles to continuum fields near a boundary *Granular Matter*, **14**, 289-294, 2012

DOI:10.1007/s10035-012-0317-4

View abstract

**Bokhove O, Thornton A** Shallow granular flows In *Handbook of Environmental Fluid Dynamics*, 2012

**Sollie WEH, Vegt, van der JJW, Bokhove O** Space-time discontinuous Galerkin finite element method for two-fluid flows *Journal of Computational Physics*, **230**, 789-817, 2011

DOI:10.1016/j.jcp.2010.10.019

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**Bokhove O, Cotter C** Variational water-wave model with accurate dispersion and vertical vorticity *Journal of Engineering Mathematics*, **67**, 33-54, 2010

DOI:10.1007/s10665-009-9346-3

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**Bokhove O, Ambati VR** Hybrid Rossby-shelf modes in a laboratory ocean *Journal of Physical Oceanography*, **39**, 2523-2542, 2009

DOI:10.1175/2009JPO4101.1

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**Bokhove O, Akers B** Hydraulic flow through a channel contraction: multiple steady states *Physics of Fluids*, **20**, 2008

DOI:10.1063/1.2909659

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**Bokhove O, Tassi PA, Rhebergen S, Vionnet C** A discontinuous Galerkin finite element model for bed evolution under shallow flows *Computational methods in applied mechanics and engineering*, **198**, 2930-2947, 2008

DOI:10.1016/j.cma.2008.01.023

View abstract

**Bokhove O, Rhebergen IS, van der Vegt JJW** Discontinuous Galerkin finite element methods for hyperbolic nonconservative partial differential equations *Journal of Computational Physics*, **227**, 1887-1922, 2008

DOI:10.1016/j.jcp.2007.10.007

**Bokhove O** Balanced models in geophysical fluid dynamics: Hamiltonian formulation, constraints and formal stability In *Large-Scale Atmosphere-Ocean Dynamics*, 1-1, 2002

**Compagner A, Bokhove O, Bruin C** Molecular dynamics of unstable systems *International Journal of Modern Physics C: Computational Physics and Physical Computation*, 300-304, 1991

View abstract

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