From b727d52a61669250d83ae83e6e8de8e80303f027 Mon Sep 17 00:00:00 2001 From: Cristobal Bertoglio Date: Fri, 8 Apr 2022 16:48:10 +0200 Subject: [PATCH] small --- cbme2022/CMBE21_ale.tex | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/cbme2022/CMBE21_ale.tex b/cbme2022/CMBE21_ale.tex index dce26a1..7782bd8 100644 --- a/cbme2022/CMBE21_ale.tex +++ b/cbme2022/CMBE21_ale.tex @@ -26,7 +26,7 @@ % TITLE: replace text with your abstract title WITHOUT full stop -\title{On monolithic and Chorin-Temam schemes for incompressible flows in moving domains.} +\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 @@ -88,7 +88,7 @@ % 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.} +\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 in cardiac geometries 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}