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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

3TU.AMI

Applied Mathematics Institute

Ship Simulator

Kees Vuik

Delft University of Technology

www.3tu.nl/ami

slide2

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

slide3

Rough seas

Ship Simulator

slide4

Problem: realistic simulator

Required area 5 km x 5 km

New screen every 0.05 seconds

Bound on the CPU time

Ship Simulator

slide5

How not to do it

Navier-Stokes equations

Multi-phase flow

Moving boundary problem

Ship Simulator

slide6

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

slide7

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

slide8

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

slide9

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

slide10

MSc Thesis of Martijn de Jong

RRB numbering

Example: 8 x 8 grid points

Ship Simulator

slide12

Good idea

Ship Simulator

slide13

Results

Ship Simulator

slide15

Future

Ship Simulator