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3TU .AMI. Applied Mathematics Institute. Ship Simulator. Kees Vuik Delft University of Technology. www.3tu.nl/ami. Contents Problem Solution Result TU Delft: Elwin van ‘t Wout, Martijn de Jong, Martin van Gijzen Marin: Auke Ditzel, Anneke Sicherer, Auke van der Ploeg.

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Ship Simulator


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    1. 3TU.AMI Applied Mathematics Institute Ship Simulator Kees Vuik Delft University of Technology www.3tu.nl/ami

    2. Contents Problem Solution Result TU Delft: Elwin van ‘t Wout, Martijn de Jong, Martin van Gijzen Marin: Auke Ditzel, Anneke Sicherer, Auke van der Ploeg Ship Simulator

    3. Rough seas Ship Simulator

    4. Problem: realistic simulator Required area 5 km x 5 km New screen every 0.05 seconds Bound on the CPU time Ship Simulator

    5. How not to do it Navier-Stokes equations Multi-phase flow Moving boundary problem Ship Simulator

    6. Boussinesq approach for water waves (Gert Klopman, UT) Approximation valid for weakly non-linear and fairly long waves Takes into account the vertical structure of the horizontal and vertical flow velocity Much cheaper in CPU time Ship Simulator

    7. Pressure system Ax = b Large linear system of equations (ten million unknowns) Schilders/Koren, TUe Vuik/Oosterlee, TUD Veldman/Van der Ploeg, UG Ship Simulator

    8. Tianhe-2 Supercomputer 3 million parallel processors 20 MW energy consumption 40 petaflops (40 x 1015) 390 million USD How not to do it Compute the inverse of A Work increases quadratically Ship Simulator

    9. NVIDIA GeForce GTX 680 (Kepler) 1000 parallel processors 100 W energy consumption 1 teraflop (1012) 200 USD How to do it Iterative solver(multigrid) Linearly increasing Ship Simulator

    10. MSc Thesis of Martijn de Jong RRB numbering Example: 8 x 8 grid points Ship Simulator

    11. Problem with memory access Ship Simulator

    12. Good idea Ship Simulator

    13. Results Ship Simulator

    14. Ship Simulator

    15. Future Ship Simulator