Commit 4dbbb822 authored by Bastien Jordi's avatar Bastien Jordi

\hyperref added for Channel Flow tutorials in Inc NS solver

parent 86ae97c0
\section{Incompressible Navier-Stokes Solver}
\subsection{Incompressible Navier-Stokes solver}
\label{IncNSsolver}
3.4/UserGuide/Tutorial/IncNavierStokesSolver
\subsubsection{Velocity Correction Scheme}
\label{VCSscheme}
here...
\newpage
3.4/UserGuide/Tutorial/IncNavierStokesSolver/Stability
3.4/UserGuide/Examples/IncNavierStokesSolver/Adjoint
3.4/UserGuide/Examples/IncNavierStokesSolver/Aorta
3.4/UserGuide/Examples/IncNavierStokesSolver/Biglobal
3.4/UserGuide/Examples/IncNavierStokesSolver/Direct
3.4/UserGuide/Examples/IncNavierStokesSolver/KovasznayFlow2D
\subsection{Laminar Channel Flow 2D}
\label{LaminarChannelFlow2D}
3.4/UserGuide/Examples/IncNavierStokesSolver/LaminarChannelFlow2D
3.4/UserGuide/Examples/IncNavierStokesSolver/LaminarChannelFlow2DLinNS
\newpage
3.4/UserGuide/Examples/IncNavierStokesSolver/LaminarChannelFlow3D
\subsection{Laminar Channel Flow 3D}
The following example demonstrates the application of the \textbf{IncNavierStokesSolver (REF?)} using the \textbf{Velocity Correction Scheme (REF?)} algorithm for modelling 3D laminar channel flow.
The following example demonstrates the application of the \hyperref[IncNSsolver]{incompressible Navier-Stokes solver} using the \hyperref[VCSscheme]{Velocity Correction Scheme} algorithm for modelling 3D laminar channel flow.
\subsubsection{Background}
The governing equation is the unsteady incompressible Navier-Stokes equation:
......@@ -143,13 +152,8 @@ The session file can be found in the tests folder under the IncNavierStokesSolve
\newpage
3.4/UserGuide/Examples/IncNavierStokesSolver/LaminarChannelFlow3DH1D
\subsection{Laminar Channel Flow Quasi-3D}
In this example we reuse the 2D mesh used before for the \textbf{2D Laminar Channel Flow (REF?)} example, and we add mathematically the third dimension assuming an expansion along z with a Fourier series. The example is an application of the \textbf{IncNavierStokesSolver (REF?)} using the \textbf{Velocity Correction Scheme (REF?)} algorithm.
In this example we reuse the 2D mesh used before for the \hyperref[LaminarChannelFlow2D]{2D Laminar Channel Flow} example, and we add mathematically the third dimension assuming an expansion along z with a Fourier series. The example is an application of the \hyperref[IncNSsolver]{incompressible Navier-Stokes solver} using the \hyperref[VCSscheme]{Velocity Correction Scheme} algorithm.
\subsubsection{Background}
The governing equation is the unsteady incompressible Navier-Stokes equation:
......@@ -163,7 +167,7 @@ The governing equation is the unsteady incompressible Navier-Stokes equation:
The Reynolds number under consideration is 1.
\subsubsection{Geometry}
The geometry under consideration is a 2D square channel with unit length and height (\textit{i.e.} $D=1$). The channel is modelled using 4 quadrilateral elements. The geometry as well as the mesh is identical to that used in the \textbf{2D Laminar Channel Flow (REF?)} example.
The geometry under consideration is a 2D square channel with unit length and height (\textit{i.e.} $D=1$). The channel is modelled using 4 quadrilateral elements. The geometry as well as the mesh is identical to that used in the \hyperref[LaminarChannelFlow2D]{2D Laminar Channel Flow} example.
\subsubsection{Input parameters}
\paragraph{Expansion:~} In this example we will use a quadratic polynomial expansion (\textit{i.e.} $P=3$).
......@@ -263,20 +267,12 @@ In this case Nektar++ uses the FFTW library to move the degrees of freedom from
\newpage
3.4/UserGuide/Examples/IncNavierStokesSolver/SteadyOseenFlow2D
3.4/UserGuide/Examples/IncNavierStokesSolver/Transient
\newpage
3.4/UserGuide/Examples/IncNavierStokesSolver/TurbulentChannelFlow
\subsection{Turbulent Channel Flow Quasi-3D}
In this example we use a 2D mesh for channel flow, and we add mathematically the third dimension assuming an expansion along z with a Fourier series. The example is an application of the \textbf{IncNavierStokesSolver (REF?)} using the \textbf{Velocity Correction Scheme (REF?)} algorithm in order to solve for turbulent channel flow.
In this example we use a 2D mesh for channel flow, and we add mathematically the third dimension assuming an expansion along z with a Fourier series. The example is an application of the \hyperref[IncNSsolver]{incompressible Navier-Stokes solver} using the \hyperref[VCSscheme]{Velocity Correction Scheme} algorithm in order to solve for turbulent channel flow.
\subsubsection{Background}
The governing equation is the unsteady incompressible Navier-Stokes equation:
......@@ -300,7 +296,7 @@ The geometry under consideration is a 2D square channel with height of 2 units (
\end{figure}
\subsubsection{Input parameters}
For this tutorial, the input file (in the \textbf{Nektar++ input format (REF?)}) used can be found in Nektar++/solvers/IncNavierStokesSolver/Examples/TurbChFl\_3DH1D.xml.
For this tutorial, the input file (in the \hyperref[XMLformat]{\nekpp input format}) used can be found in Nektar++/solvers/IncNavierStokesSolver/Examples/TurbChFl\_3DH1D.xml.
\paragraph{Expansion:~} In this example we will use a quadratic polynomial expansion (\textit{i.e.} $P=3$).
\begin{lstlisting}[style=XMLStyle]
......
\chapter{XML Input File Reference}
\label{XMLformat}
The Nektar++ native file format is compliant with XML version 1.0. The root element is NEKTAR and has the overall structure as follows
\begin{lstlisting}[style=XMLStyle]
......
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