% nomenclature.tex

% ROMAN SYMBOLS [A]
\nomenclature[A, 01]{\(x\)}{{Cartesian coordinate}\nomunit{[$\mathrm{m}$]}}
\nomenclature[A, 02]{\(y\)}{{Cartesian coordinate}\nomunit{[$\mathrm{m}$]}}
\nomenclature[A, 03]{\(z\)}{{Vertical Cartesian coordinate}\nomunit{[$\mathrm{m}$]}}
\nomenclature[A, 04]{\(u\)}{{Horizontal velocity along x}\nomunit{[$\mathrm{m}$ $\mathrm{s^{-1}}$]}}
\nomenclature[A, 05]{\(v\)}{{Horizontal velocity along y}\nomunit{[$\mathrm{m}$ $\mathrm{s^{-1}}$]}}
\nomenclature[A, 06]{\(w\)}{{Vertical velocity along z}\nomunit{[$\mathrm{m}$ $\mathrm{s^{-1}}$]}}
\nomenclature[A, 07]{\(R\)}{{Radius}\nomunit{[$\mathrm{m}$]}}
\nomenclature[A, 08]{\(D\)}{{Diameter}\nomunit{[$\mathrm{m}$]}}
\nomenclature[A, 09]{\(h\)}{{Liquid level}\nomunit{[$\mathrm{m}$]}}
\nomenclature[A, 10]{\(t\)}{{Time}\nomunit{[$\mathrm{s}$]}}
\nomenclature[A, 11]{\(f\)}{{Frequency}\nomunit{[$\mathrm{s^{-1}}$]}}
\nomenclature[A, 12]{\(f_n\)}{{Natural Frequency}\nomunit{[$\mathrm{s^{-1}}$]}}
\nomenclature[A, 13]{\(a\)}{{External Forcing Amplitude}\nomunit{[$\mathrm{m}$]}}
\nomenclature[A, 14]{\(g\)}{{Gravity}\nomunit{[$\mathrm{m}$ $\mathrm{s^{-2}}$]}}
\nomenclature[A, 15]{\(m\)}{{Mass}\nomunit{[$\mathrm{kg}$]}}
\nomenclature[A, 16]{\(q\)}{{Fluid velocity vector (u,v,w)}\nomunit{[$\mathrm{m}$ $\mathrm{s^{-1}}$]}}
\nomenclature[A, 17]{\(V\)}{{Potential energy}\nomunit{[$\mathrm{J}$]}}
\nomenclature[A, 18]{\(T\)}{{Kinetical energy}\nomunit{[$\mathrm{J}$]}}
\nomenclature[A, 19]{\(L\)}{{Lagrangian function}\nomunit{[$\mathrm{J}$]}}

% GREEK SYMBOLS [B]
\nomenclature[B, 01]{\(\Phi\)}{{Potential function of velocity}\nomunit{[$\mathrm{m^2}$ $\mathrm{s^{-1}}$]}}
\nomenclature[B, 02]{\(\eta\)}{{Free surface vertical coordinate}\nomunit{[$\mathrm{m}$]}}
\nomenclature[B, 03]{\(\omega\)}{{Angular frequency}\nomunit{[$\mathrm{rad}$ $\mathrm{s^{-1}}$]}}
\nomenclature[B, 04]{\(\omega_n\)}{{Natural Angular frequency}\nomunit{[$\mathrm{rad}$ $\mathrm{s^{-1}}$]}}
\nomenclature[B, 05]{\(\lambda\)}{{Wavelength}\nomunit{[$\mathrm{m}$]}}
\nomenclature[B, 06]{\(\theta\)}{{Azimuthal coordinate}\nomunit{[$\mathrm{m}$]}}
\nomenclature[B, 07]{\(\xi\)}{{Root of J'($\xi$)=0}\nomunit{[-]}}
\nomenclature[B, 08]{\(\rho\)}{{Density of the fluid}\nomunit{[$\mathrm{kg}$ $\mathrm{m^{-3}}$]}}
\nomenclature[B, 09]{\(\nu\)}{{Kinematic viscosity}\nomunit{[$\mathrm{m^2}$ $\mathrm{s^{-1}}$]}}
\nomenclature[B, 10]{\(\mu\)}{{Dynamic viscosity}\nomunit{[$\mathrm{Pa}$ $\mathrm{s^{-1}}$]}}
\nomenclature[B, 11]{\(\zeta\)}{{Wave amplitude}\nomunit{[-]}}
\nomenclature[B, 12]{\(\kappa\)}{{Dimensionless external forcing acceleration}\nomunit{[-]}}
\nomenclature[B, 13]{\(\tau\)}{{Time}\nomunit{[$\mathrm{s}$]}}

% SUBSCRIPT [C]
\nomenclature[C, 01]{m}{number of diametral nodes}
\nomenclature[C, 02]{n}{number of diametral nodes - 1}
\nomenclature[C, 03]{n}{natural as subscript of $\omega$}
\nomenclature[C, 04]{x}{in x direction}
\nomenclature[C, 05]{y}{in y direction}
\nomenclature[C, 06]{z}{in z direction}

% DIMENSIONLESS NUMBERS [D]
\nomenclature[D, 01]{\(Re\)}{{Reynolds}\nomunit{$\mathrm{\frac{\rho VD}{\mu}}$}}
\nomenclature[D, 02]{\(Fr\)}{{Froude}\nomunit{$\mathrm{\frac{U^2}{gD}}$}}

% ACRONYMS [E]
\nomenclature[E, 01]{VKI}{von Karman Institure for Fluid Dynamics}
\nomenclature[E, 02]{PASCAL}{Proof of Augmented Safety Conditions in Advanced Liquid-Metal-Cooled Systems}
\nomenclature[E, 03]{ALFRED}{Advanced Lead Fast Reactor European Demonstrator}
\nomenclature[E, 04]{MYRRHA}{Multi-purpose hYbrid research Reactor for High-tech Applications}
\nomenclature[E, 05]{ASME}{American Society of Mechanical Engineers}
\nomenclature[E, 06]{SHAKESPEARE}{SHaking Apparatus for Kinetic experiments of Sloshing Projects with EArthquake REproduction}
\nomenclature[E, 07]{SG}{Steam Generator}
\nomenclature[E, 08]{DHR}{Decay Heat Removal}
\nomenclature[E, 09]{MCM}{Monte Carlo method}
\nomenclature[E, 10]{DoF}{Degree of Freedom}
