commit 32034c84dbaf26465bf2e271b243919f944eaea8
parent 4a1a60738714e5f2b654103739908caed7997b22
Author: Ivan Gankevich <igankevich@ya.ru>
Date: Tue, 8 Nov 2016 18:40:25 +0300
Spell check.
Diffstat:
1 file changed, 12 insertions(+), 12 deletions(-)
diff --git a/phd-diss.org b/phd-diss.org
@@ -15,7 +15,7 @@
* Introduction
**** Topic relevance.
-Softwarea programmes, which simulates vessel behaviour in sea waves, are widely
+Software programmes, which simulates vessel behaviour in sea waves, are widely
used to model ship motion, estimate impact of external forces on floating
platform or other marine object, and estimate capsize probability under given
weather conditions; however, to model ocean waves most of the simulation codes
@@ -26,7 +26,7 @@ wind wave climate. Among them are transition between normal and storm weather,
and sea composed of multiple wave systems --- both wind waves and swell ---
heading from multiple directions. Another shortcoming of linear wave theory is
an assumption, that wave amplitude is small compared to wave length. This makes
-calculations inprecise when modeling ship motion in irregular waves, for which
+calculations imprecise when modelling ship motion in irregular waves, for which
the assumption does not hold. So, studying new and more advanced models and
methods for ocean simulation software may increase number of its application
scenarios and foster a study of ship motion in extreme conditions in particular.
@@ -92,12 +92,12 @@ was still much work to be done to make it useful in practice.
memory (SMP) and distributed memory (MPP) computer systems.
**** Scientific novelty.
-ARMA model, as opposed to other ocean sumulation models, does not use linear
+ARMA model, as opposed to other ocean simulation models, does not use linear
wave theory. This makes it capable of
- generating waves with arbitrary amplitudes by adjusting wave steepness via
ACF;
- generating waves with arbitrary profiles by adjusting asymmetry of wave
- elevation distribution via non-linear inertialess transform (NIT).
+ elevation distribution via non-linear inertia-less transform (NIT).
This makes it possible to use ARMA process to model transition between normal
and storm weather taking into account climate spectra and assimilation data of a
particular ocean region, which is not possible with models based on linear wave
@@ -136,7 +136,7 @@ generated by ARMA model, as well as all input parameters (ACF, distribution of
wave elevation etc.) were inspected via graphical means built into the
programming language allowing visual control of programme correctness.
-**** Theses for the defense.
+**** Theses for the defence.
- Wind wave model which allows generating wavy surface realisations with large
period and consisting of wave of arbitrary amplitudes;
- Pressure field formulae derived for this model without assumptions of linear
@@ -158,7 +158,7 @@ experiments showed higher computational efficiency of ARMA model.
* Problem statement
The aim of the study reported here is to investigate possibilities of applying
-ARMA process mathematical apparatus to ocean wave modeling and to derive formula
+ARMA process mathematical apparatus to ocean wave modelling and to derive formula
for pressure field under generated wavy surface without assumptions of linear
wave theory.
- In case of small-amplitude waves resulting formula must correspond to the
@@ -182,7 +182,7 @@ wavy surface, $p$ --- wave pressure, $\rho$ --- fluid density, $\vec{\upsilon} =
(\phi_x, \phi_y, \phi_z)$ --- velocity vector, $g$ --- acceleration of gravity,
and $D$ --- substantial (Lagrange) derivative. The first equation is called
continuity (Laplace) equation, the second one is the conservation of momentum
-law (the so called called dynamic boundary condition); the third one is
+law (the so called dynamic boundary condition); the third one is
kinematic boundary condition for free wavy surface, which states that rate of
change of wavy surface elevation ($D\zeta$) equals to the change of velocity
potential derivative along the wavy surface normal ($\nabla \phi \cdot
@@ -384,11 +384,11 @@ MA process for propagating waves. With new formulae for 3 dimensions a single
mixed ARMA process might be a better choice, but this is the objective of the
future research.
-** Modeling non-linearity of ocean waves
+** Modelling non-linearity of ocean waves
** Determining wave pressures for discretely given wavy surface
* Numerical methods and experimental results
** The shape of ACF for different types of waves
-*** Two methods to find ocean wave's ACF
+*** Two methods to find ocean waves ACF
**** Analytic method of finding the ACF.
The simplest way to find auto-covariate function for a particular ocean wave
profile is to apply Wiener---Khinchin theorem. According to this theorem the
@@ -678,19 +678,19 @@ stationary and MA model parameters finding algorithm to converge.
**** Fault tolerance.
**** High availability.
* Conclusion
-* Acknowledgments
+* Acknowledgements
#+latex: \clearpage
* List of acronyms and symbols
#+attr_latex: :booktabs t :align lp{0.8\linewidth}
| <<<MPP>>> | Massively Parallel Processing, computers with distributed memory |
| <<<SMP>>> | Symmetric Multi-Processing, computers with shared memory |
-| <<<ACF>>> | auto-covatiate function |
+| <<<ACF>>> | auto-covariate function |
| <<<FFT>>> | fast Fourier transform |
| <<<PRNG>>> | pseudo-random number generator |
| <<<BC>>> | boundary condition |
| <<<PDE>>> | partial differential equation |
-| <<<NIT>>> | non-linear intertialess transform |
+| <<<NIT>>> | non-linear inertia-less transform |
| <<<AR>>> | autoregressive process |
| <<<ARMA>>> | autoregressive moving average process |
| <<<MA>>> | moving average process |
