📄 cfd recipes chapter 17.mht
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Subject: CFD Recipes: Chapter 17
Date: Fri, 18 Jul 2003 17:28:37 +0800
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<HTML><HEAD><TITLE>CFD Recipes: Chapter 17</TITLE>
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<BLOCKQUOTE>
<H1>Software for <I>Computational Gasdynamics</I></H1><BR><IMG=20
=
src=3D"http://capella.colorado.edu/~laney/graphics/cfdrecipes.jpg"=20
border=3D0> <BR><BR>
<HR>
<H2>Chapter 17. Basic Numerical Methods for Scalar Conservation=20
Laws</H2>
<HR>
<BR>
<TABLE cellSpacing=3D0 cellPadding=3D5 border=3D0>
<TBODY>
<TR>
<TD><A=20
=
href=3D"http://capella.colorado.edu/~laney/ch17soft/lf.f">Lax-Friedrichs =
Method</A></TD></TR>
<TR>
<TD><A=20
=
href=3D"http://capella.colorado.edu/~laney/ch17soft/lw.f">Lax-Wendroff=20
Method</A></TD></TR>
<TR>
<TD><A=20
=
href=3D"http://capella.colorado.edu/~laney/ch17soft/roe.f">Roe's=20
First-Order Upwind Method</A></TD></TR>
<TR>
<TD><A=20
=
href=3D"http://capella.colorado.edu/~laney/ch17soft/bwsplit.f">Beam-Warmi=
ng=20
Second-Order Upwind Method with Flux =
Splitting</A></TD></TR>
<TR>
<TD><A=20
=
href=3D"http://capella.colorado.edu/~laney/ch11soft/testf.f">Generator=20
for Initial Conditions</A></TD></TR>
<TR>
<TD><A=20
=
href=3D"http://capella.colorado.edu/~laney/ch17soft/nb.dat">Sample=20
Input File</A></TD></TR></TBODY></TABLE>
<P>These codes approximate the solution to the linear advection =
equation=20
on a periodic domain. By changing the statement functions f and =
df, and=20
uncommenting sections of the source, these can also approximate =
other=20
scalar conservation laws.=20
<P>These codes require an ASCII input file nb.dat of the =
following form:=20
<BLOCKQUOTE><I>N: Number of Points, lambda: delta_t/delta_x, =
tfinal:=20
final time </I>
<P><I>Initial Conditions at 1st point (x1,y1)</I>
<P><I>Initial Conditions at 2nd point (x2,y2)</I>
<P>...
<P><I>Initial Conditions at Nth point (xN,yN)</I>
<P><I>Initial Conditions at N+1th point (xN+1,yN+1)<BR>(should =
repeat=20
the 1st Point)</I>
<P></P></BLOCKQUOTE>These codes will produce two ASCII output =
files:=20
<UL>
<LI>lf.out, lw.out, roe.out, or bwsplit.out. Lists delta_t, =
delta_x,=20
and lambda. Also lists the final time requested vs. actual =
final time=20
(these may differ if delta_t is not an even divisor of =
tfinal).=20
Finally, lists the initial vs. final conditions at each point. =
<LI>lf.plt, lw.plt, roe.plt, or bwsplit.plt. Approximate vs. =
real=20
solution at each point. </LI></UL>Using the sample input file, =
these=20
codes will generate figures 17.3, 17.8, 17.14, and 17.24 in the =
book.=20
You can generate a variety of other input files using the =
initial=20
condition generator. The generator expects an ASCII input file =
called=20
nb.dat with the first line as defined above. The file can =
contain=20
additional lines or not. The generator produces an ASCII output =
file,=20
also called nb.dat, in the form defined above. The user selects =
from a=20
menu to determine the intial conditions found in nb.dat after =
running=20
the generator. With the initial condition generator and the =
other=20
routines found here, you can generate most of the figures in =
Chapter 17=20
of the book.
<P></P></BLOCKQUOTE></TD></TR></TBODY></TABLE><BR>
<DIV align=3Dcenter>[ <A=20
href=3D"http://capella.colorado.edu/~laney/booksoft.htm">Book Software =
Home</A> |=20
<A href=3D"http://capella.colorado.edu/~laney/ch4code.htm">Chapter 4</A> =
| <A=20
href=3D"http://capella.colorado.edu/~laney/ch5code.htm">Chapter 5</A> | =
<BR><A=20
href=3D"http://capella.colorado.edu/~laney/ch8code.htm">Chapter 8</A> | =
<A=20
href=3D"http://capella.colorado.edu/~laney/ch9code.htm">Chapter 9</A> | =
<A=20
href=3D"http://capella.colorado.edu/~laney/ch11code.htm">Chapter 11</A> =
| <A=20
href=3D"http://capella.colorado.edu/~laney/ch18code.htm">Chapter 18</A> =
| <BR><A=20
href=3D"http://capella.colorado.edu/~laney/ch20code.htm">Chapter 20</A> =
| <A=20
href=3D"http://capella.colorado.edu/~laney/ch21code.htm">Chapter 21</A> =
| <A=20
href=3D"http://capella.colorado.edu/~laney/ch22code.htm">Chapter 22</A> =
| <A=20
href=3D"http://capella.colorado.edu/~laney/ch23code.htm">Chapter 23</A> =
]=20
</DIV><BR><BR>
<HR>
<FONT size=3D-1><I>© 2000, Culbert B. Laney </I> =
<A=20
href=3D"mailto:laney@colorado.edu">mailto:laney@colorado.edu</A></FONT></=
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