waves-16-arma

git clone https://git.igankevich.com/waves-16-arma.git
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commit 14b36ed5e179578e46258c6523102cf039384eee
parent d3b282710a950671cef757caebd3ae1849538967
Author: Ivan Gankevich <igankevich@ya.ru>
Date:   Wed, 17 May 2017 13:47:54 +0300

Add outline.

Diffstat:
arma.org | 48+++++++++++++++++++++++++++++++++++-------------
1 file changed, 35 insertions(+), 13 deletions(-)

diff --git a/arma.org b/arma.org @@ -1,4 +1,4 @@ -#+TITLE: Simulation of standing and propagating ocean waves with three-dimensional ARMA model +#+TITLE: Simulation of standing and propagating sea waves with three-dimensional ARMA model #+AUTHOR: Ivan Gankevich, Alexander Degtyarev #+LANGUAGE: en #+LATEX_CLASS: scrartcl @@ -6,17 +6,39 @@ #+OPTIONS: H:2 num:0 todo:nil toc:nil #+begin_abstract -Simulation of ocean waves is a problem appearing in the framework of developing +Simulation of sea waves is a problem appearing in the framework of developing software-based ship motion modelling applications. These applications generally use linear wave theory to generate small-amplitude waves programmatically and -determine impact of external excitations on the ship. Using linear wave theory -is feasible for ocean waves, but is not accurate for shallow-water and storm -waves. In this paper we introduce new autoregressive moving-average (ARMA) model -to cope these shortcomings. The new model allows generating waves of arbitrary -amplitudes, is accurate for both shallow and deep water, and its software -implementation shows superior performance by relying on fast Fourier transform -family of algorithms. Integral characteristics of wavy surface produced by ARMA -model are verified against the ones of real ocean surface. Despite all its -advatages, ARMA model requires a new method to determine wave pressures, a -two-dimensional version of which is included in the paper. -#+end_abstract +determine impact of external excitations on a ship hull. Using linear wave +theory is feasible for ocean waves, but is not accurate for shallow-water and +storm waves. In this paper we introduce new autoregressive moving-average (ARMA) +model to cope with these shortcomings. The new model allows to generate waves of +arbitrary amplitudes, is accurate for both shallow and deep water, and its +software implementation shows superior performance by relying on fast Fourier +transform family of algorithms. Integral characteristics of wavy surface +produced by ARMA model are verified against the ones of real sea surface. +Despite all its advantages, ARMA model requires a new method to determine wave +pressures, an instance of which is included in the paper. +#+end_abstract + +* Introduction +* Related work +* Three-dimensional ARMA process as a sea wave simulation model +** Autoregressive (AR) process +** Moving average (MA) process +** Mixed autoregressive moving average (ARMA) process +** The shape of ACF for different types of waves +** Evaluation +** Discussion +* Determining wave pressures for discretely given wavy surface +** Two-dimensional case +** Three-dimensional case +** Evaluation +** Discussion +* High-performance software implementation for heterogeneous platforms +** White noise generation +** Wavy surface generation +** Velocity potential field computation +** Evaluation +** Discussion +* Conclusion