Revision 713e387867ca7061e1e171ca75097a03fab55f8b authored by Adiv Paradise on 09 January 2019, 02:10:04 UTC, committed by Adiv Paradise on 09 January 2019, 02:10:04 UTC
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cat_ug.aux
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\@writefile{toc}{\contentsline {section}{\numberline {1.1}Classical non-rotating case}{7}}
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\citation{vanheist1994}
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\@writefile{toc}{\contentsline {section}{\numberline {1.3}Non-adiabatic terms}{9}}
\@writefile{toc}{\contentsline {subsection}{\numberline {1.3.1}Laplacian based Viscosity and friction}{9}}
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\@writefile{toc}{\contentsline {subsection}{\numberline {1.3.2}Forcing}{10}}
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\@writefile{toc}{\contentsline {section}{\numberline {1.4}Geometry and boundary conditions}{10}}
\@writefile{toc}{\contentsline {subsection}{\numberline {1.4.1}Vertical boundary conditions}{10}}
\@writefile{toc}{\contentsline {subsection}{\numberline {1.4.2}Horizontal boundary conditions}{10}}
\@writefile{toc}{\contentsline {part}{II\hspace {1em}Numerical Implementation}{11}}
\citation{braccoandmcwilliams2010}
\citation{fraedrichetal1998}
\citation{borthetal2016}
\@writefile{toc}{\contentsline {chapter}{\numberline {2}Model history}{13}}
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\citation{canutoetal1988}
\citation{kreissandoliger1972}
\citation{orszag1972}
\citation{fornberg1987}
\citation{canutoetal1988}
\@writefile{toc}{\contentsline {chapter}{\numberline {3}The pseudo-spectral method}{15}}
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\@writefile{toc}{\contentsline {section}{\numberline {3.1}The discrete Fourier transform}{15}}
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\@writefile{toc}{\contentsline {section}{\numberline {3.3}The grid representation in CAT}{20}}
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\citation{kreissandoliger1972}
\citation{orszag1972}
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\@writefile{toc}{\contentsline {section}{\numberline {3.5}Jacobian}{24}}
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\@writefile{lof}{\contentsline {figure}{\numberline {3.4}{\ignorespaces Cut-off filter (plate a and red line in plate b) and the spectral representation of Laplacian friction (black line in plate b), i.e.\ the multiplication with a gaussian function.}}{27}}
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\@writefile{toc}{\contentsline {section}{\numberline {3.7}Forcing and Pertubations}{27}}
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\@writefile{toc}{\contentsline {section}{\numberline {3.9}Time-stepping schemes}{28}}
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\@writefile{toc}{\contentsline {chapter}{\numberline {4}Predefined simulations, test cases and performance}{29}}
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\@writefile{toc}{\contentsline {section}{\numberline {4.1}Initial Value Problems in Physical Space}{29}}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.1.1}Top Hat Jet: Option {\tt sim = "jet01"}}{29}}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.1.2}Gaussian Jet: Option {\tt sim = "jet02"}}{29}}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.1.3}Fourier Jet: Option {\tt sim = "jet03"}}{29}}
\@writefile{toc}{\contentsline {subsection}{\numberline {4.1.4}Circular Top Hat Jet: Option {\tt sim = "jet04"}}{29}}
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\@writefile{toc}{\contentsline {part}{IV\hspace {1em}Appendix}{41}}
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\bibcite{canutoetal1988}{{3}{1988}{{Canuto et~al.}}{{Canuto, Hussaini, Quarteroni, and Zhang}}}
\bibcite{danilovandgurarie2000}{{4}{2000}{{Danilov and Gurarie}}{{}}}
\bibcite{danilovandgurarie2001}{{5}{2001}{{Danilov and Gurarie}}{{}}}
\bibcite{fornberg1987}{{6}{1987}{{Fornberg}}{{}}}
\bibcite{vanheist1994}{{7}{1994}{{Heijst}}{{}}}
\bibcite{johnstonandliu2004}{{8}{2004}{{Johnston and Liu}}{{}}}
\bibcite{kreissandoliger1972}{{9}{1972}{{Kreiss and Oliger}}{{}}}
\bibcite{orszag1972}{{10}{1972}{{Orszag}}{{}}}
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