commit 1373a9ed07a127e4a3f9bbe312bcf600ee8b8f9e
parent 7895d9831db370b26f5a5c2a93cc241cdfbe2d32
Author: Ivan Gankevich <igankevich@ya.ru>
Date: Mon, 29 May 2017 19:03:00 +0300
Edit conclusion.
Diffstat:
| arma.org | | | 35 | +++++++++++++++++++++-------------- |
1 file changed, 21 insertions(+), 14 deletions(-)
diff --git a/arma.org b/arma.org
@@ -1417,20 +1417,27 @@ and GPU consumes \(\approx{}20\%\) of velocity potential solver execution time.
[[file:figures/breakdown-cpu-gpu.pdf]]
* Conclusion
-Research results allow to conclude that a problem of determining pressures under
-sea surface can be solved analytically without assumptions of linear and
-small-amplitude wave theories. This solution coupled with ARMA ocean wave
-simulation model, capable of generating waves of arbitrary amplitudes, can be
-used to determine the impact of wave oscillations on the dynamic marine object
-in a sea way, and give more precise results than analogous solution for
-small-amplitude waves.
-
-Results of the numerical experiments allow to conclude that wavy surface
-generation as well as pressure computation can be efficiently implemented via
-fast Fourier transforms, and long simulation session can be conducted.
-
-The developed mathematical apparatus and its numerical implementation can become
-a base of virtual testbed for marine objects dynamics studies.
+Three-dimensional ARMA ocean simulation model coupled with analytic formula for
+determining pressures under wavy sea surface is computationally efficient of
+performing long-term ship behaviour simulations on the computer. Possible
+applications of the approach include studying ship behaviour in storm and
+shallow water waves. Its validity was visually and statistically verified in a
+number of experiments: distribution of characteristics of waves, produced by
+ARMA model, match the ones of real ocean waves, and velocity potential field,
+produced by the analytic formula correspond to the one produced by the formula
+for small-amplitude waves, and the formula itself reduces to the known one from
+linear wave theory.
+
+Numerical experiments showed that wavy surface generation is efficient on CPU as
+it involves no transcendental mathematical functions, and velocity potential
+field computation is efficient on GPU due to heavy use of Fourier transforms.
+The use of dynamically generated Mersenne Twister PRNGs allows to produce
+uncorrelated sequences of pseudo-random numbers with no practical limitation on
+the realisation period, which in turn allows to perform long simulation sessions
+on parallel machines.
+
+The future work is to make ARMA mathematical apparatus and its numerical
+implementation a base of virtual testbed for marine objects dynamics studies.
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