added conference abstract

This commit is contained in:
reidmen 2022-04-08 14:01:42 +02:00
parent 653985b980
commit 08a542b328
5 changed files with 31305 additions and 25 deletions

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@ -32,7 +32,10 @@ MANIFEST
*.sh *.sh
# TeX exceptions # TeX exceptions
!/tex/*.png !/tex/**/*.png
# published article exception
!article_published.pdf
# Generated results from FEniCS/Python plots, etc... # Generated results from FEniCS/Python plots, etc...
*.xdmf *.xdmf
@ -40,7 +43,7 @@ MANIFEST
*.pyc *.pyc
# Jupyter checkpoints # Jupyter checkpoints
#*.ipynb *.ipynb
.ipynb_checkpoints/ .ipynb_checkpoints/
# Numerical results # Numerical results
@ -48,3 +51,15 @@ tests/
# Paraview state files # Paraview state files
*.pvsm *.pvsm
*.aux
*.log
*.pdf
*.synctex.gz
*.sh
# Submission 1
**/*.synctex.gz
**/*.log
**/*.aux
**/*.pdf

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%% CMBE TEMPLATE FOR ABSTRACT SUBMISSION
%% USE CLASS cmbe17.cls ** DO NOT MODIFY CLASS FILE **
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% The extended abstract should consist of a short abstract (SUMMARY)
% and 2-4 keywords, followed by a short article. The length of the
% extended abstract must not be longer than four pages incl. references.
%
% Guidelines to complete each section are provided below.
% References are managed using thebibliography with cite_key and
% the \bibitem{cite_key} command. Make sure they are arranged by
% order of appearance in the text. ** No page numbering.
%
%
% Consult the conference website for submission information.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\documentclass{cmbe21}
% additional packages
\usepackage{amsmath,amsfonts,amssymb}
\usepackage{graphicx,wrapfig}
% comment if not needed
\usepackage[hyphens]{url}
\usepackage{hyperref}
% TITLE: replace text with your abstract title WITHOUT full stop
\title{On monolithic and Chorin-Temam schemes for incompressible flows in moving domains.}
% AUTHOR/AFFILIATION: handled by authblk.
% Use only one of the two following methods for author listing. Delete or comment out the other.
% Add/remove authors/affiliations as necessary, complete following the template without adding additional superscript/footnotes
% 1- Authors have the same affiliation:
% ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
%\author{First A. Author}
%\author{Second B. Author}
%\author{Third C. Author}
%\affil{Affiliation, Postal Address, \texttt{\{First,Second,Third\}@affil}}
% 2- Multiple authors with multiple affiliations. Complete as follows: author[i] <-> affiliation[i]
% ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
%\author[1]{Jerem\'ias Garay}
%\author[2]{Second B. Author}
%\author[3]{Third C. Author}
%\author[2]{Fourth D. Author}
% \author[1]{Jerem\'ias Garay}
\author[1]{Reidmen Ar\'ostica}
% \author[1]{David Nolte}
\author[1]{Crist\'obal Bertoglio}
\affil[1]{{Bernoulli Institute}, {University of Groningen},
{Groningen}, The Netherlands}
%\affil[cmm]{{Center for Mathematical Modeling}, {Universidad de Chile}, {Santiago}, Chile}
%\affil[tub]{{Department of Fluid Dynamics}, {Technische Universit\"at Berlin}, {Berlin}, Germany}
%\affil[2]{{Bernoulli Institute}, {University of Groningen},
%{Groningen}, The Netherlands}
%\affil[2]{{Biomedical Imaging Center}, {Pontificia Universidad Cat\'olica de Chile},
%{Santiago}, Chile}
%\affil[3]{{School of Biomedical Engineering}, {Universidad de Valparaiso},
%{Valparaiso}, Chile}
%
%\affil[4]{{Department of Mathematical Engineering}, {Universidad de Concepci\'on},
%{Concepci\'on}, Chile}
%
%
%\affil[5]{{Department of Mechanical Engineering}, {Universidad T\'ecnica Federico Santa Mar\'ia},
%{Santiago}, Chile}
%
%\affil[6]{{Joint last authors}, {in alphabetical order}}
%\affil[1]{Affiliation 1, Postal Address, \texttt{First@affil1}}
%\affil[2]{Affiliation 2, Postal Address, \texttt{\{Second,Fourth\}@affil2}}
%\affil[3]{Affiliation 3, Postal Address, \texttt{Third@affil3}}
% SUMMARY: replace text with a short summary
\summary{Several time discretized domain for the incompressible Navier-Stokes equations (iNSE) in moving domains have been proposed in literature. Here, we introduce a unified formulation that combines different approaches found in literature, allowing a common well posedness and time stability analysis. It can be therefore shown that only a particular choice of numerical schemes ensure such properties under some restrictions. The analysis will be shown for Chorin-Temam schemes using the insight found in the monolithic case. Results are supported from numerical simulations and its usage in fluid-solid interaction problems will be presented.}
% KEYWORDS: replace text with 2-4 keywords, not capitalised, separated by comma, and without a full stop at the end.
\keywords{numerical schemes, stability analysis, incompressible flows, fluid-structure interaction}
\begin{document}
Estimating parameters from heart contraction data, using e.g. magnetic resonance imaging \cite{imperiale2021tagged, markl20124d, marchesseau2013fast, marchesseau2013regionalvols}, requires several techniques such as the estimation algorithms, e.g. \cite{pfaller2020pod}, fluid-solid coupling schemes modeling the physics itself e.g. \cite{astorino-chouly-fernandez-09, bertoglio2013sisc} and in particular, the discretization of fluid problem arising from the blood movement e.g. \cite{bevan2016comparative}.
In such a context, several works have been reported dealing with numerical solutions of the iNSE in moving domains within the Arbitrary Lagrangian Eulerian formulation (ALE). Different choices of time discretization have been reported , e.g. \cite{Basting2017}, \cite{Hessenthaler2017}. To the best of the authors knowledge, only a few monolithic schemes have been throughly analyzed, e.g. \cite{Lozovskiy2018, smaldone2014, le-tallec-mouro-01, Burtschell2017} while no analysis has been reported for Chorin-Temam (CT) methods, being an alternative option when requirements such a low time computations are needed, specially for future industrial applications.
The goal of this talk is to present the finding of well-posedness and unconditional energy balance of the iNSE-ALE for several reported CT discretization schemes within a single formulation, published in \cite{arostica2021monolithic}. It will be supplemented with an usage case for fluid-solid interaction problems.
\bibliography{biblio_merged.bib}
\bibliographystyle{unsrt}
\end{document}

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%% CMBE class 2-4 pages abstract (CMBE17 Pittsburgh)
%% 01/11/2014 Etienne Boileau
%% ** DO NOT MODIFY **
%
\NeedsTeXFormat{LaTeX2e}
\DeclareOption{10pt}{\OptionNotUsed}
\DeclareOption{12pt}{\OptionNotUsed}
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%
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%
\RequirePackage[blocks]{authblk}
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%
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%
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%
\renewcommand{\maketitle}{%
\newpage
\thispagestyle{empty}
\begin{minipage}[t][28.4pt][t]{454.4pt}
\begin{flushright}
% HEADER %
{%
\footnotesize%
7\textsuperscript{th} International Conference on Computational and Mathematical Biomedical Engineering - CMBE2021\\[2.84pt]%
27--29 June 2022, Italy\\%
P.~Nithiarasu and C.~Vergara (Eds.)%
}%
\end{flushright}
\end{minipage}
%
\begin{center}
\vspace{2ex}
{%
\fontsize{14}{18}\selectfont
\bfseries
\MakeUppercase{\@title}
\par
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{%
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{%
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\noindent\textbf{Key words:\space}{\it \@keywords}
\par
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%
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%
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%
\renewenvironment{thebibliography}[1]
{%
\begin{center}%
\section*{\MakeUppercase\refname\@mkboth{\MakeUppercase\refname}{\MakeUppercase\refname}}%
\end{center}%
\list{\@biblabel{\@arabic\c@enumiv}}%
{\settowidth\labelwidth{\@biblabel{#1}}%
\leftmargin\labelwidth
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\@openbib@code
\usecounter{enumiv}%
\let\p@enumiv\@empty
\renewcommand\theenumiv{\@arabic\c@enumiv}}%
\sloppy
\clubpenalty4000
\@clubpenalty \clubpenalty
\widowpenalty4000%
\sfcode`\.\@m}%
{\def\@noitemerr
{\@latex@warning{Empty `thebibliography' environment}}%
\endlist}
%
\setlength{\parindent}{0em}
\setlength{\parskip}{5pt plus 2pt minus 1 pt}
%
\AtBeginDocument{%
\pagestyle{empty}
\maketitle
\let\maketitle\relax
}
%
\endinput
%

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*.aux
*.log
*.pdf
*.synctex.gz
*.sh
# Submission 1
1_submission/*.synctex.gz
1_submission/*.log
1_submission/*.aux
1_submission/*.pdf
# Submission 2
2_submission/*.synctex.gz
2_submission/*.log
2_submission/*.aux
2_submission/*.pdf
# HAL Submission
hal_submission/*.synctex.gz
hal_submission/*.log
hal_submission/*.aux
hal_submission/*.pdf