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Subject: CFD Recipes: Chapter 23
Date: Fri, 18 Jul 2003 17:29:47 +0800
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<HTML><HEAD><TITLE>CFD Recipes: Chapter 23</TITLE>
<META http-equiv=3DContent-Type content=3D"text/html; charset=3Dgb2312">
<META content=3D"Free CFD Software" name=3DDESCRIPTION>
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<DIV align=3Dcenter><IMG height=3D42 alt=3D"Cambridge University Press"=20
src=3D"http://capella.colorado.edu/~laney/graphics/cup.gif" width=3D189> =
<BR><IMG=20
height=3D79 alt=3D"Computational Gasdynamics"=20
src=3D"http://capella.colorado.edu/~laney/graphics/title.gif" =
width=3D537>=20
<BR></DIV>
<TABLE cellSpacing=3D0 cellPadding=3D10 width=3D"100%" border=3D0>
  <TBODY>
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    <TD vAlign=3Dtop align=3Dright><FONT size=3D+0><A=20
      href=3D"http://capella.colorado.edu/~laney/home.htm">Home</A>=20
      <P><A=20
      =
href=3D"http://capella.colorado.edu/~laney/description.htm">Description</=
A>=20
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      <P><A href=3D"http://capella.colorado.edu/~laney/toc.htm">Table of =

      Contents</A>=20
      <P><A =
href=3D"http://capella.colorado.edu/~laney/index.htm">Index</A>=20
      <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
      <P><A =
href=3D"http://capella.colorado.edu/~laney/errata.htm">Errata </A>
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      <P><A =
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      of Interest</A>=20
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      Interest</A>=20
      <P><A href=3D"http://capella.colorado.edu/~laney/author.htm">About =
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      Author</A>=20
      <P><A =
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      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 23. Solution Averaged Methods: =
Reconstruction-Evolution=20
        Methods</H2>
        <HR>
        <BR>
        <TABLE cellSpacing=3D0 cellPadding=3D5 border=3D0>
          <TBODY>
          <TR>
            <TD><A=20
              =
href=3D"http://capella.colorado.edu/~laney/ch23soft/vl4.f">Original=20
              MUSCL (A Slope-Limited Version of Fromm's =
Method)</A></TD></TR>
          <TR>
            <TD><A=20
              =
href=3D"http://capella.colorado.edu/~laney/ch23soft/uno.f">UNO</A></TD></=
TR>
          <TR>
            <TD><A=20
              =
href=3D"http://capella.colorado.edu/~laney/ch23soft/eno2.f">Second-Order =

              ENO</A></TD></TR>
          <TR>
            <TD><A=20
              =
href=3D"http://capella.colorado.edu/~laney/ch23soft/eno2sr.f">Second-Orde=
r=20
              ENO with Subcell Resolution</A></TD></TR>
          <TR>
            <TD><A=20
              =
href=3D"http://capella.colorado.edu/~laney/ch23soft/eno3.f">Third-Order=20
              ENO</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,=20
        these codes can also approximate other scalar conservation laws, =
except=20
        for third-order ENO, which is strictly limited to the linear =
advection=20
        equation.
        <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>vl4.out, uno.out, eno2.out, eno2sr.out, or eno3.out. Lists =

          delta_t, delta_x, and lambda. Also lists the final time =
requested vs.=20
          actual final time (these may differ if delta_t is not an even =
divisor=20
          of tfinal). Finally, lists the intial vs. final conditions at =
each=20
          point.=20
          <LI>vl4.plt, uno.plt, eno2.plt, eno2sr.plt, or eno3.plt. =
Approximate=20
          vs. real solution at each point. </LI></UL>Using the sample =
input file,=20
        these codes will generate figure 23.3 the book. You can generate =
a=20
        variety of other input files using the initial condition =
generator. The=20
        generator expects an ASCII input file called nb.dat with the =
first line=20
        as defined above. The file can contain additional lines or not. =
The=20
        generator produces an ASCII output file, also called nb.dat, in =
the form=20
        defined above. The user selects from a menu to determine the =
intial=20
        conditions found in nb.dat after running the generator. With the =
initial=20
        condition generator and the other routines found here, you can =
generate=20
        most of the figures in Chapter 23 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/ch17code.htm">Chapter 17</A> =
| <BR><A=20
href=3D"http://capella.colorado.edu/~laney/ch18code.htm">Chapter 18</A> =
| <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> =
]=20
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