%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
%	Math Symbols   Math Symbols   Math Symbols   Math Symbols   
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\font\sans=cmss10 at 10pt
\font\bigb=cmbx10 at 12pt
\font\smcaps=cmcsc10 at 10pt

\def\pmb#1{\setbox0=\hbox{$#1$}%----  poor man's boldface: make a letter plumpy
	\kern-.025em\copy0\kern-\wd0
	\kern.05em\copy0\kern-\wd0
	\kern-.025em\raise.0433em\box0}
\def\pmbf#1{\pmb#1}
\def\bfg#1{\pmb#1}


\def\today{\ifcase\month\or
  January\or February\or March\or April\or May\or June\or
  July\or August\or September\or October\or November\or December\fi
  \space\number\day, \number\year}
\def \new { \vfill \eject }

\def \be{\begin{equation}}
\def \ee{\end{equation}}

\def \half{{1\over 2}}
\def \rt{{Re_\tau}}
\def \rcl{{Re_{CL}}}
\def \ool{{1\over L_x}}
\def \oor{{1\over Re_\tau}}
\def \yp{{y^+}}
\def \lp{\lambda^+}
\def \ut{u_\tau}
\def \ea{{\it et al.}}
\def \vk{von K\'arm\'an}

\def \dt {\Delta t}
\def \dx {\Delta x}
\def \dy {\Delta y}
\def \dz {\Delta z}

\def \ubbi{ {\overline{\overline u}_i} }
\def \ubbj{ {\overline{\overline u}_j} }
\def \ubi { {\overline u_i} }
\def \ubj { {\overline u_j} }
\def \ubk { {\overline u_k} }
\def \ub  { {\overline u} }
\def \uba { {\overline u_\alpha} }
\def \ub  {{\overline u}}
\def \vb  {{\overline v}}
\def \wb  {{\overline w}}
\def \pb  {{\overline p}}

\def \uh  {{\widehat u}}
\def \vh  {{\widehat v}}
\def \wh  {{\widehat w}}
\def \ph  {{\widehat P}}
\def \hh  {{\widehat H}}
\def \qh  {{\widehat Q}}
\def \th  {{\widehat\tau_w}}

\def\tij  {\tau_{ij}}
\def\sb{  \overline{S} }
\def\sij {{\overline S_{ij}}}

\def \cs {{\cal S}}
\def \cd#1#2#3{{\cal D}_{#1#2}^{(#3)} }
\def \cf#1#2#3{{\cal F}_{#1#2}^{(#3)}}
\def \cp#1{{\cal P}^{(#1)}}
\def \ct#1#2{{\cal T}_{#1}^{(#2)}}

\def \tot {{\tau_{12}}}
\def \ttt {{\tau_{32}}}
\def \totp{{\tau''_{12}}}
\def \tttp{{\tau''_{32}}}
\def \twm{<\tau_w>}
%
% REFERENCES
%
\def\jour #1 #2       {\par {\smcaps #1} {#2} }
\def\book #1 #2 #3 #4 {\par {\smcaps #1} {#2} {\it #3} {#4} } 
\def\aiaaj#1{{\it AIAA J.}~{\bf #1}}
\def\aiaap#1{{\it AIAA Paper No.~#1}}
\def\CUP{{Cambridge University Press: Cambridge, England.\ }} 
\def\jcp#1{{\it J.~Comput.~Phys.}~{\bf #1}}
\def\jatmo#1{{\it J.~Atmos.\ Sci.}~{\bf #1}}
\def\jfm#1{{\it J.~Fluid Mech.}~{\bf #1}}
\def\PH{{Prentice-Hall: Englewood Cliffs, New Jersey.\ }} 

%\def\pof#1#2{{\it Phys.~Fluids} {\bf #1}(#2)}
%\def\pofa#1#2{{\it Phys.~Fluids A} {\bf #1}(#2)}
\def\pofa#1{ {\it Phys.~Fluids~A} {\bf#1}}
\def\pof#1{ {\it Phys.~Fluids} {\bf#1}}

\def\ptrs#1{{\it Phil.~Trans. Roy. Soc. London\/} A{\bf#1}}
\def\PUP{{Princeton University Press: Princeton, New Jersey.\ }}
\def\stan #1 {{\it Department of Mechanical Engineering Report TF--#1},
                  Stanford, California }
\def\icase #1 {{\it ICASE Report #1}, Langley, Virginia }
\def\CTRone{{\it Studying Turbulence Using Numerical Simulation Databases --
              Proceedings of the 1987 Summer Program}, Stanford University,
              Stanford, CA}
\def\CTRtwo{{\it Studying Turbulence Using Numerical Simulation Databases 
              II--Proceedings of the 1988 Summer Program}, Stanford University,
              Stanford, CA}
\def\CTRthree{{\it Studying Turbulence Using Numerical Simulation Databases 
              III--Proceedings of the 1990 Summer Program}, Stanford University,
              Stanford, CA}
\def\arfm#1{{\it Ann.~Rev.~Fluid Mech.}~{\bf #1}}
\def\jgr#1{{\it J.~Geophy.~Res.}~{\bf #1}}
\def\jpo#1{{\it J.~Phys.~Ocean.}~{\bf #1}}

%
% FIGURES
%
\newcount\ndots
\def\drwln#1#2{\raise 2.5pt\vbox{\hrule width #1pt height #2pt}}
\def\spc#1{\hskip #1pt}
\def\solid{\drwln{24}{.5}\nobreak\ }
\def\bdash{\hbox{\drwln{4}{.5}\spc{2}}}
\def\dashed{\hbox {\drwln{4}{.5}\spc{2}
                   \drwln{4}{.5}\spc{2}\drwln{4}{.5}}\nobreak\ }
\def\bdot{\hbox{\drwln{1}{.5}\spc{2}}}
\def\dotted{\hbox{\leaders\bdot\hskip 24pt}\nobreak\ }
\def\chndash{\hbox {\drwln{8.5}{.5}\spc{2}
                    \drwln{3}{.5}\spc{2}\drwln{8.5}{.5}}\nobreak\ }
\def\chndot{\hbox {\drwln{9.5}{.5}\spc{2}
                   \drwln{1}{.5}\spc{2}\drwln{9.5}{.5}}\nobreak\ }
\def\chndotdot{\hbox {\drwln{8}{.5}\spc{2}\drwln{1}{.5}\spc{2}
                      \drwln{1}{.5}\spc{2}\drwln{8}{.5}}\nobreak\ }
\def\chndotdotdot{\hbox {\drwln{8}{.5}\spc{2}\drwln{1}{.5}\spc{2}
\drwln{1}{.5}\spc{2}\drwln{1}{.5}\spc{2}\drwln{8}{.5}}\nobreak\ }

\def\circle   {$\circ$\nobreak\ }
\def\square   {${\vcenter{\hrule height .4pt
                 \hbox{\vrule width .4pt height 3pt \kern 3pt
                 \vrule width .4pt}
                 \hrule height .4pt}}$\nobreak\ }
\def\trian    {$\triangle$\nobreak\ }
\def\plus     {$+$\nobreak\ }
\def\cross    {$\times$\nobreak\ }
\def\diam     {$\diamond$\nobreak\ }
\def\filcir   {$\bullet$\nobreak\ }
\def\filsqr   {${\vcenter{\hrule height 2pt
                          \hbox{\vrule width 2.2pt height 0.2pt \kern 0.1pt
                                \vrule width 2.2pt}
                                \hrule height 2.2pt}}$\nobreak\ }
\def\fig#1#2{\hbox to \hsize{\hfill\hbox {Figure #1.
             \vtop{\hsize=4.8  truein #2 \par\hsize=6truein}}\hfill}\vskip 24pt}
\def\aifig#1#2{\hbox to \hsize{\hfill\hbox {Figure #1.
             \vtop{\hsize=2.62 truein #2 \par\hsize=6truein}}\hfill}\vskip 24pt}

%
% NOMENCLATURE
%

\def\nomenheader{\leftskip 0pt\rightskip 0pt
                 \centerline{\bf NOMENCLATURE }  }
\def\symboltitle#1{\par\vskip 0.35truein
                   \line{{\bf #1}\hfil}
                   \vskip 6pt
                   \nobreak   }
\def\nomlist#1#2{{\hangindent=1.2truein\hangafter=1 \ \unskip
                  \hbox to 1.2truein{\hfil $#1$ \hfil}#2\par}}
\def\symlist#1#2{{\hangindent=1.2truein\hangafter=1 \ \unskip
                  \hbox to 1.2truein{\hfil #1 \hfil}#2\par}}

%
% HEADINGS 
%

\def \chaphead#1#2{{\centerline{\bf{#1}}}\bigskip
                   {\centerline{\bf{#2}}}\bigskip}
\def \secthead#1{\bigskip\noindent{\bf{#1}}\nobreak\par}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Figures %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%      
%         #1 : ps file name
%         #2 : horiz. size of box in which the figure is contained (in inches)
%         #3 : vert. size of box in which the figure is contained (in inches)
%         #4 : horizontal offset (in 1/72 inches)
%         #5 : vertical offset (in 1/72 inches)
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%\def\latexpic #1 #2 #3 #4 #5 {\ \vfill
%\hfill\hbox to 0.05in{\vbox to #3truein{
%         \special{pscmds gsave #2 72 2.0 div neg mul #3 72 mul
%                  rmoveto currentpoint translate }
%         \special{psfile="#1",rotate=0,hscale=1,
%                  hoffset=#4,voffset=#5,vscale=1.00}
%         \special{pscmds grestore} }\hfill}
%\hfill\vspace{-0.1in}        }

\def\texfig #1 #2 #3 #4 #5 {
\hfill\hbox to 0.05in{\vbox to #3truein{\ \vfill
         \special{psfile="#1" angle=270  hscale=100
                  hoffset=#4  voffset=#5 vscale=100} }\hfill}
\hfill\vskip -0.1in        }

\def\texpic #1 #2 #3 #4 #5 {
\hfill\hbox to 0.05in{\vbox to #3truein{\ \vfill
         \special{psfile="#1" angle=0    hscale=100
                  hoffset=#4  voffset=#5 vscale=100} }\hfill}
\hfill\vskip -0.1in        }

\def\latexfig #1 #2 #3 #4 #5 {\ \vfill
\hfill\hbox to 0.05in{\vbox to #3truein{
         \special{psfile="#1" angle=270  hscale=100
                  hoffset=#4  voffset=#5 vscale=100} }\hfill}
\hfill\vspace{-0.1in}        }

\def\latexpic #1 #2 #3 #4 #5 {\ \vfill
\hfill\hbox to 0.05in{\vbox to #3truein{
         \special{psfile="#1" angle=0    hscale=100
                  hoffset=#4  voffset=#5 vscale=100} }\hfill}
\hfill\vspace{-0.1in}        }
      
\def\latexred #1 #2 #3 #4 #5 {\ \vfill
\hfill\hbox to 0.05in{\vbox to #3truein{
         \special{psfile="#1" angle=0    hscale=#2
                  hoffset=#4  voffset=#5 vscale=#2} }\hfill}
\hfill\vspace{-0.1in}        }

\def\picnew #1 #2 #3 #4 #5 #6 #7 {\ \vfill
\hfill\hbox to 0.05in{\vbox to #3truein{
         \special{psfile="#1" angle=#7    hscale=#6
                  hoffset=#4  voffset=#5 vscale=#2} }\hfill}
\hfill\vspace{-0.1in}            }

\def\mltfgps #1 #2 #3 #4 #5 #6 #7 {\
\hfill\hbox to 0.05in{\vbox to #3truein{
        \special{psfile="#1" angle=#7    hscale=#6
                 hoffset=#4  voffset=#5 vscale=#2} }\hskip 0.1in}
\hfill\vspace{-0.1in}            }


      
\def\insertcap #1 {\noindent{\smcaps Figure} #1\ }

%%%%%%%%%%%%%%%%%%%% LaTeX stuff %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
