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Ling Qian Clive Mingham Derek Causon David Ingram

Acknowledgements. EPSRC (UK) for funding the projectTrevor Whittaker and Matt Folley Queen's University, Belfast, U. K.. . Outline. Background- the wave energy device- modelling issuesNumerics Solver GriddingResultsConclusions. Wave Energy Device. - is based on the pendular principle..

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Ling Qian Clive Mingham Derek Causon David Ingram

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    1. Ling Qian Clive Mingham Derek Causon David Ingram

    2. Acknowledgements

    3. Outline Background - the wave energy device - modelling issues Numerics Solver Gridding Results Conclusions

    4. Wave Energy Device - is based on the pendular principle.

    5. Modelling Issues Device simulation has to model: Complex flow including: wave breaking vortex formation air entrainment Complicated geometry Moving solid bodies

    6. Numerics: AMAZON-SC Written in-house Two fluid, time accurate, conservation law based, flow code utilising the surface capturing approach Cartesian cut cell techniques are used to represent solid static or moving boundaries

    7. Governing Equations - 2D incompressible, Euler equations with variable density.

    8. Spatial discretisation - finite volume formulation. where, Qi is the average value of Q in cell i Vi is the area of cell i, Dlj is the length of side j, Fij is the numerical flux across the interface between cells i and j.

    9. Spatial discretisation Convective fluxes (Fij) are evaluated using Roe’s approximate Riemann solver To ensure second order accuracy, MUSCL reconstruction is used

    10. Time discretisation implicit backward Euler scheme with an artificial time variable t and a linearised RHS.

    11. Computer Implementation A Jameson-type dual time iteration is used to eliminate t at each real (outer) iteration and recover a divergence free velocity field.

    12. Boundary Conditions Seaward boundary – a solid moving paddle is used to generate waves Atmospheric boundary – a constant atmospheric pressure gradient is applied. Spray and water passing out of this boundary are lost from the computation. Landward boundary – a solid wall boundary condition is used. Bed and wave energy device – modelled using Cartesian cut cell techniques.

    13. Cartesian Cut Cell Mesh Step 1) Input vertices of solid boundary (and domain)

    14. Cartesian Cut Cell Mesh Step 2) Overlay Cartesian mesh

    15. Cartesian Cut Cell Mesh Step 3) Identify Cut Cells and compute intersection points.

    16. Cartesian Cut Cell Mesh Advantages: Automatic mesh generation Body fitted Moving body capability (remesh at each time step)

    17. Results: Wave Paddle Test Waves generated by a moving paddle using AMAZON-SC

    18. Results: Device Simulation

    19. Conclusions 1 Initial results have been presented for non-linear simulation of a rotating vane wave energy device using a surface capturing method in a Cartesian cut cell framework The method can model both water and air and their interface static and moving boundaries

    20. Conclusions 2 Detailed comparisons with small scale experimental tests are in progress The numerical model is generic and can be used to model a wide range of wave energy and other devices Project details can be found at: http://www.owsc.ac.uk/

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