?? cfd recipes chapter 11.mht
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Subject: CFD Recipes: Chapter 11
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<HTML><HEAD><TITLE>CFD Recipes: Chapter 11</TITLE>
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<META content=3D"Free CFD Software" name=3DDESCRIPTION>
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<DIV align=3Dcenter><IMG height=3D42 alt=3D"Cambridge University Press"=20
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<TD vAlign=3Dtop align=3Dright><FONT size=3D+0><A=20
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<P><A href=3D"http://capella.colorado.edu/~laney/toc.htm">Table of =
Contents</A>=20
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<P><A =
href=3D"http://capella.colorado.edu/~laney/reviews.htm">Reviews</A>=20
<P><A =
href=3D"http://capella.colorado.edu/~laney/software.htm">Software</A>=20
<P><A =
href=3D"http://capella.colorado.edu/~laney/hwsolns.htm">Solutions to=20
Problems</A>=20
<P><A =
href=3D"http://capella.colorado.edu/~laney/additional.htm">Additional=20
Material</A>=20
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of Interest</A>=20
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<P><A href=3D"http://capella.colorado.edu/~laney/author.htm">About =
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Author</A>=20
<P><A =
href=3D"http://capella.colorado.edu/~laney/purchase.htm">Purchase the=20
Book</A> </FONT></P></TD>
<TD vAlign=3Dtop>
<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 11. Simple Numerical Methods for Scalar Conservation =
Laws</H2>
<HR>
<BR>
<TABLE cellSpacing=3D0 cellPadding=3D5 border=3D0>
<TBODY>
<TR>
<TD><A=20
=
href=3D"http://capella.colorado.edu/~laney/ch11soft/btcs.f">Implicit=20
Euler Method (BTCS)</A></TD></TR>
<TR>
<TD><A=20
=
href=3D"http://capella.colorado.edu/~laney/ch11soft/leapfrog.f">Leapfrog =
Method (CTCS)</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/ch11soft/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,=20
leapfrog.f can also approximate other 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>btcs.out or ctcs.out. Lists delta_t, delta_x, and lambda. =
Also=20
lists the final time requested vs. actual final time (these =
may differ=20
if delta_t is not an even divisor of tfinal). Finally, lists =
the=20
initial vs. final conditions at each point.=20
<LI>btcs.plt or btcs.plt. Approximate vs. real solution at =
each point.=20
</LI></UL>Using the sample input file, these codes will =
generate figures=20
11.9 and 11.11 in the book. You can generate a variety of other =
input=20
files using the initial condition generator. The generator =
expects an=20
ASCII input file called nb.dat with the first line as defined =
above. The=20
file can contain additional lines or not. The generator produces =
an=20
ASCII output file, also called nb.dat, in the form defined =
above. The=20
user selects from a menu to determine the intial conditions =
found in=20
nb.dat after running the generator.
<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/ch17code.htm">Chapter 17</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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