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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. - PowerPoint PPT Presentation
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Applied Mathematics Institutewww.3tu.nl/ami 3TU.AMI
Ship SimulatorKees VuikDelft University of Technology
1Ship Simulator
2Contents
ProblemSolutionResult
TU Delft: Elwin van t Wout, Martijn de Jong, Martin van GijzenMarin: Auke Ditzel, Anneke Sicherer, Auke van der PloegRough seasShip Simulator
3
Problem: realistic simulator
Required area 5 km x 5 kmNew screen every 0.05 secondsBound on the CPU timeShip Simulator
4How not to do it
Navier-Stokes equationsMulti-phase flowMoving boundary problemShip Simulator
5Boussinesq 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 velocityMuch cheaper in CPU time
Ship Simulator
6Pressure system
Ax = bLarge linear system of equations(ten million unknowns)Schilders/Koren, TUeVuik/Oosterlee, TUDVeldman/Van der Ploeg, UG
Ship Simulator
7How not to do it
Compute the inverse of AWork increases quadratically
Ship Simulator
8
Tianhe-2 Supercomputer
3 million parallel processors20 MW energy consumption40 petaflops (40 x 1015)390 million USDHow to do it
Iterative solver (multigrid)Linearly increasingShip Simulator
9
NVIDIA GeForce GTX 680 (Kepler) 1000 parallel processors100 W energy consumption1 teraflop (1012)200 USDShip Simulator
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MSc Thesis of Martijn de Jong
RRB numberingExample: 8 x 8 grid pointsProblem with memory accessShip Simulator
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Good ideaShip Simulator
12
ResultsShip Simulator
13
Ship Simulator
14FutureShip Simulator
15
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