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A few more remarks
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RemDelaporteMathurin committed Jul 15, 2022
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2 changes: 1 addition & 1 deletion chapters/chapter3/monoblocks.tex
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Expand Up @@ -249,7 +249,7 @@ \subsection{Influence of cycling}\labsec{influence of cycling}
Simulating these transient cycles would require stepsizes of $\approx \SI{10}{s}$ in order to capture the ramp-up and ramp-down phases.
Simulating one cycle would therefore require more than 60 steps (excluding the resting phase).

On the other hand, FESTIM has an adaptive stepsize feature allowing the stepsize to increase (resp. decrease) when steps are solved in less (resp. more) than 5 Newton iterations.
On the other hand, FESTIM has an adaptive stepsize feature allowing the stepsize to increase (resp. decrease) when steps are solved in less (resp. more) than five Newton iterations.
Therefore, if a continuous plasma exposure was simulated, the adaptive stepsize would allow the stepsize to increase up to thousands of seconds, reducing a lot the simulation time.

To verify the validity of the continuous exposure approximation, 1D simulations were run with plasma cycles or continuous exposure.
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2 changes: 1 addition & 1 deletion chapters/chapter4/divertor.tex
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Expand Up @@ -155,7 +155,7 @@ \section{ITER results}
\begin{figure*}[h!]
\captionsetup[subfigure]{format=plain,singlelinecheck=true} % needed to center the subcaptions
\centering
\begin{subfigure}{0.42\linewidth}
\begin{subfigure}{0.40\linewidth}
\includegraphics[width=\linewidth]{Figures/Chapter4/ITER/inventory_along_inner_divertor.pdf}
\caption{Inner Vertical Target.}
\end{subfigure}%
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2 changes: 1 addition & 1 deletion chapters/chapter5/He_transport_in_PFCs/model.tex
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Expand Up @@ -177,7 +177,7 @@ \subsection{Grouped approach}
\langle r_b \rangle = r_{\mathrm{He}_0 \mathrm{V}_1} + \left(\frac{3}{4 \pi} \frac{a_0^3}{2} \right)^{1/3} \frac{1}{c_b}\sum\limits_{i=N+1}^\infty c_i(\frac{i}{4})^{1/3} - \left(\frac{3}{4 \pi} \frac{a_0^3}{2} \right)^{1/3}
\end{equation}

Assuming $c_i$ follows a narrow gaussian distribution, $\frac{1}{c_b}\sum\limits_{i=N+1}^\infty c_i(\frac{i}{4})^{1/3} \approx \left( \frac{1}{c_b}\sum\limits_{i=N+1}^\infty c_i\frac{i}{4} \right)^{1/3} $ (see \reffig{sum of powers approximation}).
Assuming $c_i$ follows a narrow gaussian distribution \cite{faney_spatially_2015}, $\frac{1}{c_b}\sum\limits_{i=N+1}^\infty c_i(\frac{i}{4})^{1/3} \approx \left( \frac{1}{c_b}\sum\limits_{i=N+1}^\infty c_i\frac{i}{4} \right)^{1/3} $ (see \reffig{sum of powers approximation}).
% is assumed to be only dependent on $\langle i_b \rangle$.

\begin{figure}
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