<html><head><meta name="color-scheme" content="light dark"></head><body><pre style="word-wrap: break-word; white-space: pre-wrap;">%
%  'smptalk.tex' sample slide presentation - courtesy of karen bibb
%
%  typical (unix) processing sequence for postscript printer:
%
%    latex smptalk                         - create dvi file
%    xdvi -paper usr smptalk               - preview dvi file
%    dvips -t landscape smptalk            - transform dvi file to postscript
%    ghostview -landscape -swap smptalk.ps - check postscript output
%    lpr smptalk.ps                        - print postscript file

\documentclass[landscape]{slides}

% load custom command definitions and other default settings:
\usepackage{smptalk}

% un-comment for ``page'' numbers:
%\pagestyle{plain}

% un-comment for processing only a select few slides or notes:
%\onlyslides{1-2,5,10-999}
%\onlynotes{1-2,12}
% or, for interactive prompting, un-comment the following:
%\typein[\slides]{Which slides to do?}
%\onlyslides{\slides}
%\onlynotes{\slides}

\begin{document}

\begin{slide}\typeout{Title:}
  \begin{center}
    {\Large\bf Hypersonic Flow Computations On Unstructured Meshes}

    {\large\bf AIAA 97--0625}

    \begin{tabular}{cc}
      K. L. Bibb                &amp; J. Peraire               \\[.1in]
      \it NASA Langley Research &amp; \it Massachusetts Institute  \\
      \it Center                &amp; \it of Technology           \\
      \it Hampton, Virginia     &amp; \it Cambridge, Massachusetts
    \end{tabular}

    C. J. Riley \\[.1in]
    \it NASA Langley Research Center \\
        Hampton, Virginia
  \end{center}
\end{slide}

\begin{note}
  \begin{describe}[1.5in]
    \item [Session] Applied Computational Aero
    \item [Time] wed afternoon
    \item [Mention] colleagues
          \begin{items} 
             \item Ram Prabhu for running codes
             \item Bill Scallion \&amp; Matt Rhode for UPWT data
          \end{items}
  \end{describe}
\end{note}

\begin{slide}\typeout{Background:}
  \title{Background}
  \begin{items}
    \item Rapid, accurate aerodynamic screening capability is
          needed:
          \begin{items}
            \item aerodynamic performance coefficients
            \item pressure loads for preliminary structural analysis
            \item general flow features, for example, shock location
          \end{items}
    \item Unstructured grids offer flexible and rapid grid generation
    \item Historically, unstructured Euler schemes
          are not robust hypersonically
  \end{items}
\end{slide}

\begin{slide}\typeout{Outline:}
  \title{Outline}
  \leftmargin 3in
  \begin{items}
    \item Computational algorithm
    \item Comparisons to other codes\\
          and experiment
    \item Use as a screening tool
    \item Concluding remarks
  \end{items}
\end{slide}

\begin{note}
  \begin{items}
     \item details are in the paper for the algorithm
     \item screening tools are talked about throughout
  \end{items}
\end{note}

\begin{slide}\typeout{Flow solver (overview):}
  \title{FELISA System}
  \begin{items} 
    \item Unstructured mesh generation
    \item `Standard' Euler flow solver, 
          for subsonic $\Rightarrow$ low supersonic
    \item Hypersonic Euler flow solver, FELISA\_HYP
          \begin{items}
            \item perfect gas
            \item equilibrium air
            \item CF$_4$
          \end{items}
    \item Parallel versions of flow solvers
  \end{items}
\end{slide}

\begin{note}
  \begin{items}
    \item for parallel:  work on IBM sP2, J90, workstation clusters.
    \item not used for the calculations in the paper
  \end{items}
\end{note}

\begin{slide}\typeout{Flow solver (FELISA):}

  \title{Unstructured Inviscid\\ Hypersonic Flow Solver\\ (FELISA\_HYP)}
  \leftmargin 3in
  \begin{items}
    \item Euler equations
    \item Finite volume formulation
    \item Edge data structure
    \item H\"{a}nel flux vector splitting
    \item MUSCL reconstruction
    \item Explicit time stepping
  \end{items}
\end{slide}

\begin{note}
  \title{Time Stepping}
  \leftmargin 2.5in
  \begin{items}
    \item check to ensure monotonicity
    \item eliminate limit cycle behavior
  \end{items}
\end{note}

\begin{slide}\typeout{Edge Data Structure:}
  \title{Edge Data Structure}
  \begin{center}
    \begin{minipage}{.45\linewidth}
      \incfig[\linewidth]{smpfig}
    \end{minipage}
    \hspace{0.05\linewidth}
    \begin{minipage}{.45\linewidth}
      \begin{items}
        \item control volumes are tetrahedra surrounding each node
        \item fluxes computed across outer faces of control volume
        \item flux computations grouped by edge
      \end{items}
    \end{minipage}
  \end{center}
\end{slide}

\begin{note}
  \title{Old Edge Data Structure notes\ldots}
  \leftmargin 2in
  \begin{items}
    \item edge il is used in all of the figures\ldots\
  \end{items}
  \leftmargin 0in
  \begin{tabular}{p{.45\linewidth}p{.45\linewidth}}
    \begin{items}
      \item fluxes computed across faces of tetrahedra 
      \item control volume is tetrahedra 
      \item nodal info for cells is stored
    \end{items}&amp;
    \begin{items}
      \item fluxes computed across $S^e$ for all edges of node~$i$
      \item control volume surrounds node
      \item weights for $S^e$ stored
    \end{items}
  \end{tabular}
\end{note}

\begin{slide}
  \typeout{Flux vector splitting:}
  \title{H\"anel Flux Vector Splitting}
  \begin{items}
    \item Upwind formulation; allows for stable computations
          across strong shocks
    \item No 'free' parameters are required
    \item Allows for constant enthalpy solution where solution is
          fully converged 
  \end{items}
\end{slide}

\begin{slide}\typeout{Reconstruction:}
  \title{Gradient Reconstruction}
  \incfig[.8\linewidth]{smpfig}
\end{slide}

\begin{note}
  \title{Gradient Reconstruction notes}
  \begin{items}
    \item compare to structured grid gradient calculation\\ 
    \item edge il is used in all of the figures...\\
    \item MUSCL reconstruction
          (Monotone Upwind Scheme Conservation Law)
  \end{items}
\end{note}

\begin{slide}\typeout{NASA's use of FELISA:}
  \title{Recent Applications of the FELISA System}
  \leftmargin 1in
  \begin{items}
    \item Lockheed-Martin RLV/X-33 Phase I; aerodynamics
    \item Lockheed-Martin RLV/X-33 Phase II; 
          Ascent shock interaction study; transonic aerodynamic screening
    \item McDonnell Douglas Phase I RLV/X-33;
          control surface loading (NASA CR 201606)
          and aerodynamics\\
          (subsonic $\Rightarrow$ hypersonic)  
    \item OSC X-34, transonic screening, control surface loading
  \end{items}
\end{slide}

\begin{slide}\typeout{X-33 body:}
  \title{Code to Code Comparisons for\\
         Preliminary Lockheed--Martin X-33 Vehicle}
  \begin{items}
    \item Codes:\\
      -- FELISA\_HYP:  inviscid, unstructured mesh\\
      -- LAURA:  viscous, structured grid\\
      -- DPLUR:  inviscid, structured grid, parallel
    \item Flow feature, surface pressure comparisons:\\
      -- $M_\infty = 9.8$, $\alpha = 40^{\circ}$
    \item Aerodynamic force and moment comparisons:\\
      -- $M_\infty = 4.5$, experimental data from LaRC UPWT
  \end{items}
\end{slide}

\begin{slide}
  \title{X33 Configuration}
  \begin{center}
    \begin{tabular}{cc}
      \incfig[.45\linewidth]{smpfig}&amp;
      \incfig[.45\linewidth]{smpfig}
    \end{tabular}
  \end{center}
\end{slide}

\begin{note}
  \title{Code to Code Comparisons for
         Preliminary Lockheed--Martin X-33 Vehicle}
  \leftmargin 3in
  \begin{items}
    \item mention code authors
  \end{items}
\end{note}

\begin{slide}\typeout{How has FELISAHYP been used?}
  \title{Grid Generation Time Comparisons}
  \begin{items}
    \item Initial geometry definition, surface and volume mesh generation
          for an X-33 configuration, first~time~$\|$ most~recent:
          \begin{items}
            \item FELISA:  1.5 weeks $\|$ 4 days
            \item structured: 6 weeks $\|$ 3.5 weeks
          \end{items}
    \item Case-specific grid generation:
          bow shock spacing: time consuming for FELISA, 1-2 days
          control surface deflections:
          \begin{items}
            \item $1/2$ day for unstructured
            \item $1/2$ week for LAURA 
          \end{items}
  \end{items}
\end{slide}

\begin{note}
  \title{Grid Generation Time Comparisons}
  \begin{describe}[.9in]
    \item[felisa] put together surfaces, intersection curves, topology
    \item[laura] build surface on cad
  \end{describe}
\end{note}

\begin{slide}\typeout{Concluding Remarks:}
  \title{Concluding Remarks}
  \begin{items}
    \item FELISA\_HYP flow solver  developed\\
    \item Applied FELISA System with FELISA\_HYP to complex \\configurations
          \begin{items}
            \item Comparable accuracy to structured grid solvers
            \item Faster turn--around time than structured grid methods
          \end{items}
    \item Significant impact on major NASA programs
  \end{items}
\end{slide}

\end{document}
</pre></body></html>