\relax \providecommand\tcolorbox@label[2]{} \@writefile{toc}{\contentsline {section}{\numberline {1}The continuity equation}{1}} \@writefile{toc}{\contentsline {section}{\numberline {2}Some sample flows}{1}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {1}Set up the shear flow.}{2}} \@writefile{toc}{\contentsline {section}{\numberline {3}Exercise \#1: Set up and view the example flows}{2}} \@writefile{toc}{\contentsline {section}{\numberline {4}Computational representation of flow}{2}} \@writefile{toc}{\contentsline {section}{\numberline {5}Exercise \#2: Test the continuity equation}{3}} \@writefile{toc}{\contentsline {section}{\numberline {6}The stream function}{4}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {2}Compute and display $\psi (x\tmspace +\thinmuskip {.1667em}y)$ for the corner flow.}{4}} \@writefile{toc}{\contentsline {section}{\numberline {7}Exercise \#3: Compute the velocity field from $\psi (x,y)$}{4}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {3}Determine velocity from stream function.}{4}} \@writefile{toc}{\contentsline {section}{\numberline {8}Computing $\psi $ from the velocity}{5}} \@writefile{toc}{\contentsline {section}{\numberline {9}Exercise \#4: Compute $\psi $ from a velocity field}{6}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {4}Outline of code for computing stream function from velocities.}{6}} \@writefile{toc}{\contentsline {section}{\numberline {10}Streamline/vorticity equations}{6}} \@writefile{toc}{\contentsline {section}{\numberline {11}Exercise \#5: A streamline/vorticity code}{7}} \@writefile{lol}{\contentsline {lstlisting}{\numberline {5}Euler approximation to be filled in.}{7}} \@writefile{toc}{\contentsline {section}{\numberline {12}Homework: Turn raw fluid data into a stream function plot}{7}}