Benedict D. Rogers | Researchain

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In: Godunov Methods: Theory and Applications. Kluwer Academic Publishers; 2001.. | 2001

Godunov Solution of Shallow Water Equations on Curvilinear and Quadtree Grids

Agl Borthwick; Masayuki Fujihara; Benedict D. Rogers

This paper describes a second-order accurate Godunov-type scheme for solving the 2D shallow water equations on non-orthogonal curvilinear boundary-fitted and Cartesian quadtree grids. The shallow water equations are written in a new matrix-hyperbolic form suitable for spatially non-uniform bed profiles. The equations are discretised spatially using finite volumes and temporally using the fourth-order Runge-Kutta method. Convection terms are modelled using Roe’s flux function with a nonlinear minmod limiter. Validation tests include wind-induced circulation in a dish-shaped basin, an inviscid dam break simulation, and jet-forced flow in a flat-bottomed circular reservoir.

Journal of Computational Physics | 2003

Mathematical balancing of flux gradient and source terms prior to using Roe's approximate Riemann solver

Benedict D. Rogers; Alistair G.L. Borthwick; Paul Taylor

In: Proc. of Flood Risk Assessment Conference, Oxford: Proc. of Flood Risk Assessment Conference, Oxford; 2008. | 2008

Modelling tsunami overtopping of a sea defence by shallow-water Boussinesq, VOF and SPH methods

Peter Stansby; R Xu; Benedict D. Rogers; Alison Hunt-Raby; Agl Borthwick; Paul Taylor

International Journal for Numerical Methods in Fluids | 2004

Godunov-type adaptive grid model of wave-current interaction at cuspate beaches

Benedict D. Rogers; Alistair G.L. Borthwick; Paul Taylor

8th International SPHERIC Workshop | 2013

Modelling Sediment Re-suspension in Industrial Tanks using SPH on GPUs

Georgios Fourtakas; Benedict D. Rogers; Peter Stansby

Archive | 2010

Simulation of caisson breakwater movement using 2-D SPH Simulation du mouvement d'un caisson de brise-lames avec SPH 2D

Benedict D. Rogers; Robert A. Dalrymple; Peter Stansby

In: 33rd IAHR Congress, Vancouver: 33rd IAHR Congress, Vancouver; 2009. p. 7447-7454. | 2009

2009 Investigation of surface waves generated by a heaving cylinder using Smoothed Particle Hydrodynamics (SPH)

P Omidvar; Peter Stansby; Benedict D. Rogers

In: Proc. of 28th International Conference on Coastal Engineering 2002: Proc. of 28th International Conference on Coastal Engineering 2002; 2003. | 2003

Godunov-type model of wave-induced nearshore currents at a multi-cusped beach in the UKCRF

Benedict D. Rogers; Alistair G.L. Borthwick; Paul Taylor

In: Proc. 8th International Symposium on River Erosion and Sedimentation: Proc. 8th International Symposium on River Erosion and Sedimentation; 2001. p. 1-10. | 2001

Dam-break simulations on uniform and Q-tree grids

Agl Borthwick; Q Liang; Benedict D. Rogers; J Ni

In: Proc. 29th Internation Conference on Coastal Engineering (ICCE), 2000 Sydney: Proc. 29th Internation Conference on Coastal Engineering (ICCE), 2000 Sydney; 2001. p. 3419-3430. | 2001