commit 129d8388be272ff8bc6b5afa8dc8afdd2173270f
parent 4bbe273fe6d4a9e477a3391d74f7f7d7860a27f3
Author: Ivan Gankevich <i.gankevich@spbu.ru>
Date: Sat, 27 Jun 2020 00:35:07 +0300
Slides.
Diffstat:
8 files changed, 1060 insertions(+), 13 deletions(-)
diff --git a/.gitignore b/.gitignore
@@ -1,4 +1,5 @@
/build
+CoA_Medium.eps
# Created by https://www.gitignore.io/api/vim,linux,latex
# Edit at https://www.gitignore.io/?templates=vim,linux,latex
diff --git a/Makefile b/Makefile
@@ -9,10 +9,11 @@ FLAGS = \
-shell-escape
NAME = iccsa-20-waves
-SLIDES = iccsa-20-waves-slides
+SLIDES = slides
all: build/$(NAME).pdf
all: build/$(SLIDES).pdf
+all: build/287-Gankevich-Ocean-wave-reflection.pdf
build/$(NAME).pdf: build/gnuplot/openmp.svg
build/$(NAME).pdf: build/gnuplot/surface.eps
@@ -25,10 +26,24 @@ build/$(NAME).pdf:
@echo " LATEX $<"
@-$(LATEXMK) $(FLAGS) -f main.tex
+build/$(SLIDES).pdf: build/gnuplot/openmp.svg
+build/$(SLIDES).pdf: build/gnuplot/aurora.eps
+build/$(SLIDES).pdf: build/gnuplot/aurora-non-bare.eps
+build/$(SLIDES).pdf: build/gnuplot/diogen.eps
+build/$(SLIDES).pdf: build/gnuplot/micw.eps
+build/$(SLIDES).pdf: build/gnuplot/surface-with-ship.eps
+build/$(SLIDES).pdf: build/gnuplot/surface-with-ship-3d.eps
+build/$(SLIDES).pdf: build/ships/aurora.eps
+build/$(SLIDES).pdf: build/ships/diogen.eps
+build/$(SLIDES).pdf: build/ships/micw.eps
+build/$(SLIDES).pdf: build/inkscape/diffraction.eps
build/$(SLIDES).pdf: slides.tex
@echo " LATEX $<"
@-$(LATEXMK) $(FLAGS) -xelatex -f $<
+build/287-Gankevich-Ocean-wave-reflection.pdf: build/slides.pdf
+ cp $< $@
+
build/%.eps: build/%.svg
inkscape -z --export-eps=$@ $<
@@ -36,6 +51,14 @@ build/gnuplot/%.svg: gnuplot/%.gnuplot
@mkdir -p build/gnuplot
gnuplot -d $<
+build/inkscape/%.eps: inkscape/%.svg
+ @mkdir -p build/inkscape
+ inkscape -z --export-eps=$@ $<
+
+build/gnuplot/diogen.svg build/gnuplot/aurora.svg build/gnuplot/micw.svg: ships/diogen.gnuplot gnuplot/ships.gnuplot
+ @mkdir -p build/gnuplot
+ gnuplot -d -c gnuplot/ships.gnuplot $<
+
build/ships/diogen.svg: ships/diogen.gnuplot gnuplot/vessel.gnuplot
@mkdir -p build/ships
gnuplot -d -c gnuplot/vessel.gnuplot $< $@ Diogen
@@ -48,11 +71,16 @@ build/ships/micw.svg: ships/micw.gnuplot gnuplot/vessel.gnuplot
@mkdir -p build/ships
gnuplot -d -c gnuplot/vessel.gnuplot $< $@ MICW
+build/main.zip: build/gnuplot/*.eps build/ships/*eps main.tex
+ @mkdir -p build
+ zip --filesync build/main.zip $^
+
+zip: build/main.zip
+
build:
@mkdir -p build
clean:
@rm -rf build
-.PHONY: build clean
-
+.PHONY: build clean zip
diff --git a/gnuplot/aurora-non-bare.gnuplot b/gnuplot/aurora-non-bare.gnuplot
@@ -0,0 +1,29 @@
+set terminal svg size 1920/4,1080/4 dynamic
+set hidden3d back offset 0 trianglepattern 3 undefined 1 altdiagonal bentover
+set view equal xyz
+set view ,,4
+#set object 1 rectangle from screen -0.1,-0.1 to screen 1.1,1.1 fillcolor rgb "#f0f0f0" behind
+unset key
+set title 'Aurora' offset 0,-2
+#unset border
+#unset xtics
+#unset ytics
+#unset ztics
+#load 'gnuplot/rdbu.pal'
+set ytics -20,20,20
+set ztics 0,10,40
+set palette gray
+set pm3d
+set style data pm3d
+unset colorbox
+set xrange [0:130]
+set yrange [-20:20]
+set zrange [*:20]
+set xzeroaxis
+set yzeroaxis
+set zzeroaxis
+set xlabel 'x, m'
+set ylabel 'y, m'
+set zlabel 'z, m'
+set output 'build/gnuplot/aurora-non-bare.svg'
+splot 'ships/aurora.gnuplot'
diff --git a/gnuplot/ships.gnuplot b/gnuplot/ships.gnuplot
@@ -0,0 +1,48 @@
+set terminal svg size 1920/3,1080/3 dynamic font 'Liberation Sans, 14'
+set hidden3d back offset 0 trianglepattern 3 undefined 1 altdiagonal bentover
+set view equal xyz
+set view ,,4
+#set object 1 rectangle from screen -0.1,-0.1 to screen 1.1,1.1 fillcolor rgb "#f0f0f0" behind
+unset key
+#unset border
+#unset xtics
+#unset ytics
+#unset ztics
+#load 'gnuplot/rdbu.pal'
+#set ytics -20,20,20
+set ztics 0,10,40
+set palette gray
+set pm3d
+set style data pm3d
+unset colorbox
+set xrange [-50:250]
+set yrange [-20:200]
+set zrange [*:40]
+#set xzeroaxis
+#set yzeroaxis
+#set zzeroaxis
+set xlabel 'x, m'
+set ylabel 'y, m'
+set zlabel 'z, m'
+set output 'build/gnuplot/diogen.svg'
+set title 'Diogen' offset -15,-11
+set grid
+splot 'ships/diogen.gnuplot' using ($1+50):2:3
+unset border
+unset xtics
+unset ytics
+unset ztics
+unset grid
+unset xzeroaxis
+unset yzeroaxis
+unset zzeroaxis
+unset xlabel
+unset ylabel
+unset zlabel
+set yrange [-20:20]
+set output 'build/gnuplot/aurora.svg'
+set title 'Aurora' offset 0,-9
+splot 'ships/aurora.gnuplot'
+set output 'build/gnuplot/micw.svg'
+set title 'MICW' offset 19,-11.5
+splot 'ships/micw.gnuplot'
diff --git a/gnuplot/surface-with-ship-3d.gnuplot b/gnuplot/surface-with-ship-3d.gnuplot
@@ -0,0 +1,44 @@
+set terminal svg size 1920/3,1080/3 dynamic font 'Liberation Sans, 10'
+#set hidden3d back offset 0 trianglepattern 3 undefined 1 altdiagonal bentover
+set view equal xyz
+set view ,,4
+#set view map
+set xrange [-100:100]
+set yrange [-100:100]
+set cbrange [-2:2]
+set cbtics -2,0.5,2
+set palette defined (0 '#404040', 1 '#fffff0', 2 '#0040f0')
+unset key
+set xtics nomirror out offset 0,0.5
+set ytics nomirror out offset 0.5,0
+unset x2tics
+unset y2tics
+unset ztics
+set border
+set xlabel 'x, m' offset 0,1
+set ylabel 'y, m' offset 1,0
+set pm3d
+set style data pm3d
+set dgrid3d 200,200 exp
+set output 'build/gnuplot/surface-with-ship-3d.svg'
+#set multiplot
+#set colorbox user origin 1,0
+#set cbtics
+#set cblabel 'Wave amplitude, m' offset -1,0
+unset colorbox
+unset border
+unset xtics
+unset ytics
+unset ztics
+unset grid
+unset xzeroaxis
+unset yzeroaxis
+unset zzeroaxis
+unset xlabel
+unset ylabel
+unset zlabel
+set palette gray
+splot 'data/surface-diffraction-aurora.dat' with pm3d
+#unset dgrid3d
+#set palette gray
+#splot 'ships/aurora.gnuplot' using ($1-123.8/2):2:3
diff --git a/gnuplot/surface-with-ship.gnuplot b/gnuplot/surface-with-ship.gnuplot
@@ -0,0 +1,42 @@
+set terminal svg size 1920/3,1080/3 dynamic font 'Liberation Sans, 10'
+#set hidden3d back offset 0 trianglepattern 3 undefined 1 altdiagonal bentover
+set view equal xyz
+#set view ,,4
+set view map
+set xrange [-100:100]
+set yrange [-100:100]
+set cbrange [-2:2]
+set cbtics -2,0.5,2
+set palette defined (0 '#404040', 1 '#fffff0', 2 '#0040f0')
+unset key
+set xtics nomirror out offset 0,0.5
+set ytics nomirror out offset 0.5,0
+unset x2tics
+unset y2tics
+unset ztics
+set border
+set xlabel 'x, m' offset 0,1
+set ylabel 'y, m' offset 1,0
+set cblabel 'Wave amplitude, m' offset -1,0
+set pm3d
+set style data pm3d
+set dgrid3d 200,200 exp
+set output 'build/gnuplot/surface-with-ship.svg'
+set multiplot
+splot 'data/surface-diffraction-aurora.dat' with pm3d
+unset dgrid3d
+set palette defined (0 '#404040', 1 '#404040')
+unset colorbox
+unset border
+unset xtics
+unset ytics
+unset ztics
+unset grid
+unset xzeroaxis
+unset yzeroaxis
+unset zzeroaxis
+unset xlabel
+unset ylabel
+unset zlabel
+splot 'ships/aurora.gnuplot' using ($1-123.8/2):2:3
+
diff --git a/inkscape/diffraction.svg b/inkscape/diffraction.svg
@@ -0,0 +1,611 @@
+<?xml version="1.0" encoding="UTF-8" standalone="no"?>
+<!-- Created with Inkscape (http://www.inkscape.org/) -->
+
+<svg
+ xmlns:dc="http://purl.org/dc/elements/1.1/"
+ xmlns:cc="http://creativecommons.org/ns#"
+ xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
+ xmlns:svg="http://www.w3.org/2000/svg"
+ xmlns="http://www.w3.org/2000/svg"
+ xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
+ xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
+ width="210mm"
+ height="210mm"
+ viewBox="0 0 210 210"
+ version="1.1"
+ id="svg8"
+ inkscape:version="0.92.4 (5da689c313, 2019-01-14)"
+ sodipodi:docname="diffraction.svg">
+ <defs
+ id="defs2">
+ <marker
+ inkscape:stockid="Arrow1Mend"
+ orient="auto"
+ refY="0.0"
+ refX="0.0"
+ id="Arrow1Mend"
+ style="overflow:visible;"
+ inkscape:isstock="true">
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+ id="path991"
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+ <marker
+ inkscape:stockid="Arrow1Lend"
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diff --git a/slides.tex b/slides.tex
@@ -5,32 +5,276 @@
\usepackage{textcomp}
\usepackage{booktabs}
+\usepackage{spbu-slides}
-\title{TODO}
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+ draw=spbuDarkGray
+}}%
+
+\tikzset{Dots/.style={
+ draw=spbuDarkGray,
+ line cap=round, dash pattern=on 0pt off 4\pgflinewidth
+}}%
+\setbeamertemplate{itemize items}[circle]
+
+% metadata
+\usepackage{textcomp}
+\usepackage{hyperxmp}
+\hypersetup{
+ pdfcontactemail={i.gankevich@spbu.ru},
+ pdfcontacturl={http://www.apmath.spbu.ru/en/staff/gankevich/index.html},
+ pdfcontactaddress={Unversitetskii prospekt 35},
+ pdfcontactcity={Petergof},
+ pdfcontactregion={Saint Petersburg},
+ pdfcontactpostcode={198504},
+ pdfcontactcountry={Russia},
+ pdflang={en},
+ pdfmetalang={en},
+ pdflicenseurl={http://creativecommons.org/licenses/by-sa/4.0/},
+ pdfcopyright={Copyright \textcopyright{} 2020 Ivan Petriakov\xmpcomma{} Alexander Degtyarev\xmpcomma{} Denis Egorov\xmpcomma{} Ivan Gankevich\xmpcomma{} Anton Gavrikov\xmpcomma{} Artemii Grigorev\xmpcomma{} Vasily Khramushin},
+ pdfsubject={Virtual testbed: Simulation of ocean wave reflection from the ship hull},
+}
+
+\newcommand{\Jacobian}{\mathbb{J}}
+\newcommand{\Real}[1]{\operatorname{Re}#1}
+\newcommand{\Imag}[1]{\operatorname{Im}#1}
+\newcommand{\VectorL}[1]{\left[\begin{array}{l}#1\end{array}\right]}
+\newcommand{\VectorR}[1]{\left[\begin{array}{r}#1\end{array}\right]}
+\newcommand{\VectorH}[1]{\left(#1\right)}
+\newcommand{\DerivativeT}[1]{\frac{\partial{#1}}{\partial{}t}}
+
+\title{Virtual testbed: Simulation of ocean wave reflection from the ship hull}
\author{%
I.\:Petriakov \and
A.\:Degtyarev \and
D.\:Egorov \and
- I.\:Gankevich \and
+ I.\:Gankevich\textsuperscript{*} \and
A.\:Gavrikov \and
A.\:Grigorev \and
V.\:Khramushin%
}
+\institute{Saint Petersburg State University}
\date{July 2020}
\begin{document}
\frame{\maketitle}
+\begin{frame}{Motivation}
+ Ship motion simulators
+ \begin{itemize}
+ \item model ocean waves without diffraction and radiation,
+ \item model ship resistance to flow using empirical methods (by increasing its mass).
+ \end{itemize}
+ \vfill
+ We want
+ \begin{itemize}
+ \item diffraction and radiation,
+ \item no empirical methods
+ \end{itemize}
+ to better understand and more accurately simulate ship motions.
+\end{frame}
+
+\begin{frame}{The law of reflection for ocean waves}
+ \begin{columns}[T]
+ \begin{column}{0.40\textwidth}
+ \includegraphics[width=\textwidth]{build/inkscape/diffraction.eps}
+ \tiny{}Near the obstacle the wave direction is tangent to the boundary.
+ \end{column}
+ \begin{column}{0.60\textwidth}
+ \footnotesize
+ Lagrangian description:
+ \vskip\baselineskip
+ \begin{tikzpicture}[x=1mm,y=1mm]
+ \draw plot [smooth] coordinates
+ {(9.673,28.585) (17.173,35.433) (21.194,36.020) (27.064,35.433) (32.172,24.129)};
+ \node at (20,30) {\tiny{}ship hull};
+ \path[Arrow] (16.194,41.020) -- (21.194,36.020) {};
+ \draw[Dots] (11.194,46.020) -- (21.194,36.020) {};
+ \node[left,text width=2cm,align=center] at (11.194,46.020) {\scriptsize{}incident wave direction};
+ \node[left,yshift=-3mm] at (16.194,41.020)
+ {\(\vec{d}_i=\VectorH{u,v,0}\)\strut};
+ \path[Arrow] (21.194,36.020) -- (26.194,41.020) {};
+ \draw[Dots] (21.194,36.020) -- (31.194,46.020) {};
+ \node[right,text width=2cm,align=center] at (31.194,46.020) {\scriptsize{}reflected wave direction};
+ \node[right,yshift=-3mm] at (26.194,41.020) {\(\vec{d}_r =
+ \vec{d}_i-\vec{d}_s =
+ \vec{d}_i-2\vec{n}\left(\vec{d}_i\cdot\vec{n}\right)\)\strut};
+ \path[Arrow] (21.194,36.020) -- (21.194,41.020) {};
+ \node[above] at (21.194,41.020) {\(\vec{n}\)};
+ \end{tikzpicture}
+ \vskip\baselineskip
+ \begin{tabular}{ll}
+ \(w_i = \exp\left( \left(i\vec{d}_i+\vec{d}_{k}\right)\cdot\vec\zeta - i\omega t\right)\) & incident wave potential \\
+ \(w_r = \exp\left( \left(i\vec{d}_r+\vec{d}_{k}\right)\cdot\vec\zeta - i\omega t\right)\) & reflected wave potential \\
+ \(w = C_1 w_i + C_2 w_r\) & total potential \\
+ \end{tabular}
+ \vskip\baselineskip
+ {\tiny{}
+ \begin{tabular}{ll}
+ \(\vec{d}_k = \VectorH{0,0,k}\) & damping coefficient \\
+ \(u,v\) & wave numbers \\
+ \(k=\sqrt{u^2+v^2}\) & wave vector length \\
+ \(\vec\zeta=\VectorH{\alpha,\beta,\delta}\)
+ & initial particle coordinates \\
+ \(x,y,z\) & instantaneous particle coordinates \\
+ \(\omega=\sqrt{gk}\) & angular frequency \\
+ \end{tabular}
+ }
+ \end{column}
+ \end{columns}
+\end{frame}
+
+\begin{frame}{Governing system of equations}
+ Continuity and motion equation for ideal fluid (Lagrangian description)
+ \begin{equation*}
+ \begin{aligned}
+ & \vec\nabla\left( w_{tt} + g w_\delta + p_1/\rho \right) = 0 \\
+ & \Delta w = 0
+ \end{aligned}
+ \end{equation*}
+ Boundary condition on the ship hull panel (\(\vec\zeta_0\) is the point on the boundary):
+ \begin{equation*}
+ \frac{d}{d t} \vec\nabla w \cdot \vec{n} = 0;
+ \qquad
+ \vec{n} \cdot \left(\vec\zeta - \vec\zeta_0\right) = 0
+ \end{equation*}
+ The solution for single panel
+ \begin{equation*}
+ w = C_1 w_i + C_2 w_r
+ \qquad
+ C_1 = 1
+ \qquad
+ C_2 = \exp\left(i\vec{d}_s\cdot\zeta_0\right)
+ \end{equation*}
+ The solution for the whole ship
+ \begin{equation*}
+ w = \sum\limits_{j} K_j w_j;
+ \qquad
+ K_j = \frac{1}{1 + \left|\zeta-\zeta_0\right|^2}
+ \end{equation*}
+\end{frame}
+
+\begin{frame}{Wave diffraction around Aurora's hull}
+ \begin{columns}[T]
+ \begin{column}{0.65\textwidth}
+ \centering
+ \includegraphics{build/gnuplot/surface-with-ship.eps}
+ \end{column}
+ \begin{column}{0.35\textwidth}
+ \centering
+ \includegraphics[scale=0.4]{build/gnuplot/aurora-non-bare.eps}
+ \end{column}
+ \end{columns}
+\end{frame}
+
+\begin{frame}{Wave diffraction around Aurora's hull (not shown)}
+ \centering
+ \includegraphics[width=\textwidth]{build/gnuplot/surface-with-ship-3d.eps}
+\end{frame}
+
+
+\begin{frame}{Performance benchmarks in Virtual Testbed}
+ \small
+ Average time in milliseconds that is needed to generate waves with reflection.
+ \begin{tabular}{l@{\hskip 3mm}r@{\hskip 2mm}r@{\hskip 3mm}r@{\hskip 2mm}r@{\hskip 3mm}r@{\hskip 2mm}rl}
+ \toprule
+ & \multicolumn{2}{l}{Diogen}
+ & \multicolumn{2}{l}{Aurora}
+ & \multicolumn{2}{l}{MICW} \\
+ \cmidrule(r){2-3}
+ \cmidrule(r){4-5}
+ \cmidrule(r){6-7}
+ Node & OpenMP & OpenCL
+ & OpenMP & OpenCL
+ & OpenMP & OpenCL \\
+ \midrule
+ Duck
+ & 5462 & 48
+ & 7716 & 41
+ & 7725 & 11
+ & laptop
+ \\
+ GPUlab
+ & 5529 & 11
+ & 8222 & 10
+ & 6481 & \markRectangle{speedup}{3}{lightyellow}
+ & desktop
+ \\
+ Capybara & 2908 & 16
+ & 2091 & 8
+ & 2786 & 4
+ & server
+ \\
+ \bottomrule
+ \end{tabular}
+ \begin{tikzpicture}[remember picture,overlay]%
+ \node[below of=speedup,yshift=-0.25cm,xshift=-2cm] (labelSpeedup) {2k speedup\strut{}};
+ \path[draw=spbuDarkGray,thick] (labelSpeedup) -- (speedup);
+ \end{tikzpicture}
+ \vfill
+ \begin{columns}
+ \begin{column}{0.55\textwidth}
+ \begin{tikzpicture}[x=1cm,y=1cm]
+ \node at (1,-0.25) {\includegraphics[scale=0.50]{build/gnuplot/diogen.eps}};
+ \node at (0,0) {\includegraphics[scale=0.50]{build/gnuplot/aurora.eps}};
+ \node at (1.5,0.5) {\includegraphics[scale=0.50]{build/gnuplot/micw.eps}};
+ \end{tikzpicture}
+ \end{column}
+ \begin{column}{0.35\textwidth}
+ \footnotesize
+ \begin{itemize}
+ \item Make storage order linear.
+ \item Use built-in vector operations.
+ \item Use local memory of the multiprocessor to optimise global memory
+ load and stores.
+ \end{itemize}
+ \end{column}
+ \end{columns}
+ \begin{tikzpicture}[remember picture,overlay]%
+ \node[anchor=south east] at (current page.south east)
+ {\tiny{}More information on Virtual Testbed:
+ \href{https://vtestbed.cmmshq.ru/}{https://vtestbed.cmmshq.ru/}};
+ \end{tikzpicture}
+\end{frame}
+
+\begin{frame}{Conclusion and future work}
+ \begin{itemize}
+ \item Diffraction alone cannot be used to take into account ship's resistance
+ to flow (cannot replace the method of added masses).
+ \item High computational performance, hundreds of times faster on a
+ graphical accelerator than on a central processor.
+ \item Future work is to incorporate radiation into the model and compare
+ damping to the method of added masses.
+ \end{itemize}
+\end{frame}
+
+\begin{frame}
+ \centering
+ \begin{tabular}{lllrr}
+ \toprule
+ & & & \multicolumn{2}{c}{GPU GFLOPS} \\
+ \cmidrule(r){4-5}
+ Node & CPU & GPU & Single & Double \\
+ \midrule
+ Duck & Intel i7-3630QM & NVIDIA GT740M & 622 & \\
+ GPUlab & AMD FX-8370 & NVIDIA GTX1060 & 4375 & 137 \\
+ Capybara & Intel E5-2630 v4 & NVIDIA P5000 & 8873 & 277 \\
+ \bottomrule
+ \end{tabular}
+\end{frame}
+
\begin{frame}
- \tiny\vfill
- Copyright \textcopyright{} 2020 Ivan Petriakov
- \texttt{\href{mailto:st049350@student.spbu.ru}{st049350@student.spbu.ru}}. \\
- \vskip\baselineskip
- \vskip\baselineskip
- This work is licensed under a \alert{Creative Commons Attribution-ShareAlike 4.0
- International License}. The copy of the license is available at
- \url{https://creativecommons.org/licenses/by-sa/4.0/}.
+ \tiny\vfill
+ Copyright \textcopyright{} 2020 Ivan Petriakov, Alexander Degtyarev, Denis Egorov, Ivan Gankevich, Anton Gavrikov, Artemii Grigorev, Vasily Khramushin
+ \texttt{\href{mailto:i.gankevich@spbu.ru}{i.gankevich@spbu.ru}}. \\
+ \vskip\baselineskip
+ \vskip\baselineskip
+ This work is licensed under a \textit{Creative Commons Attribution-ShareAlike 4.0
+ International License}. The copy of the license is available at
+ \url{https://creativecommons.org/licenses/by-sa/4.0/}.
\end{frame}
\end{document}
