From fd582e6f00a472f478f84e6aed6341fa60cc12d4 Mon Sep 17 00:00:00 2001 From: Wolfgang Bangerth Date: Mon, 21 Jun 2021 08:40:50 -0600 Subject: [PATCH] More minor edits. --- 9.3/paper.tex | 24 ++++++++++++------------ 1 file changed, 12 insertions(+), 12 deletions(-) diff --git a/9.3/paper.tex b/9.3/paper.tex index ea9a623..4222eca 100644 --- a/9.3/paper.tex +++ b/9.3/paper.tex @@ -911,8 +911,8 @@ other processes and in certain cases node-local communication can be skipped. To prevent race conditions, \texttt{MatrixFree} uses local barriers at the beginning and the end of loops (\texttt{loop()}, \texttt{cell\_loop()}, \texttt{loop\_cell\_centric()}). -The new \texttt{step-76} tutorial program illustrates this latter case -in the context of the solution of the Euler equations. \texttt{step-76} reaches a +The new \texttt{step-76} tutorial program illustrates this case +in the context of the solution of the Euler equations. It reaches a speed-up of 27\% compared to the original version, \texttt{step-67}, by using the new feature. For more details and the usage of the feature in the library \texttt{hyper.deal}, see \citep{munch2020hyperdeal}. @@ -939,12 +939,12 @@ and tensor product mappings (\texttt{MappingQGeneric} and derived classes), the new approach is also very fast, as it can use some of the matrix-free infrastructure and vectorization facilities. -To give an example of the new features, let us consider the evaluation of a +As an example, let us consider the evaluation of a surface tension force in the context of sharp-interface methods, whose contribution is added to a fluid solver by multiplication with test function and addition over quadrature points located at the interface section -$\Gamma_K=\Gamma \cup K$ located on the current cell $K$ and that is, -in general, located differently within $K$ than for any other cell: +$\Gamma_K=\Gamma \cup K$ of the current cell $K$ and that is, +in general, positioned differently within $K$ than for any other cell: \begin{align*} \left(\mathbf{v}, \kappa \, \mathbf{n}\right)_\Gamma \approx @@ -1189,15 +1189,15 @@ research rather than as teaching tools): \begin{itemize} \item ``\texttt{Laplace equation coupled to an external simulation program}'' was contributed by David Schneider and Benjamin Uekermann at Technical University - of Munich. It shows by extending \texttt{step-4}---a time-dependent Poisson - problem~---how to surface-couple a \dealii application with a simple external + of Munich. It extends \texttt{step-4} to a time-dependent Poisson + problem and couples it with a simple external surface-based application, using the \texttt{preCICE} library~\cite{bungartz2016precice, lindner2020exafsa}. \texttt{preCICE}, - however, also allows to couple \dealii to actual external simulation softwares, - such as OpenFOAM, SU2, CalculiX, or FEniCS, using provided adapter classes. - For more details visit their webpage - \url{https://precice.org/} and check out the numerous \dealii tutorials there, - showing, i.a., interesting fluid-structure interaction application cases. + also allows to couple \dealii to external simulation packages, + such as OpenFOAM, SU2, CalculiX, or FEniCS, using adapter classes. + The webpage + \url{https://precice.org/} provides several more \dealii{}-based tutorials, + including interesting fluid-structure interaction applications. \end{itemize} -- 2.39.5