Research reports
Years: 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995 1994 1993 1992 1991
Second Order Accurate Boundary Treatment for Cartesian Grid Methods
by H. Forrer
(Report number 1996-13)
Abstract
The Euler equations describe the flow phenomena of compressible inviscid gas dynamics. We simulate such flows using a higher order Cartesian grid method together with a special treatment for the cells cut by the boundary of a body. We describe a new method for the treatment of the boundary where these cut boundary cells are maintained as whole cells rather than as cut cells, thus avoiding stability problems. The method is second order accurate but not strictly conservative, but we can show that this error in the conservation does not lead to spurious phenomena on some representative test calculations. The advantages of the new boundary treatment are that it is second order accurate, that it is independent of the applied method, and that it can easily be extended to three-dimensional calculations.
Keywords: Cartesian grid methods, gas dynamics, boundarytreatment, CLAWPACK package
BibTeX@Techreport{F96_196, author = {H. Forrer}, title = {Second Order Accurate Boundary Treatment for Cartesian Grid Methods}, institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich}, number = {1996-13}, address = {Switzerland}, url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports1996/1996-13.pdf }, year = {1996} }
Disclaimer
© Copyright for documents on this server remains with the authors.
Copies of these documents made by electronic or mechanical means including
information storage and retrieval systems, may only be employed for
personal use. The administrators respectfully request that authors
inform them when any paper is published to avoid copyright infringement.
Note that unauthorised copying of copyright material is illegal and may
lead to prosecution. Neither the administrators nor the Seminar for
Applied Mathematics (SAM) accept any liability in this respect.
The most recent version of a SAM report may differ in formatting and style
from published journal version. Do reference the published version if
possible (see SAM
Publications).