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add Peng-Robinson EOS, clean up `NonIdealCompressibleEuler1D` (#2769) * add PR EOS, initial conditions, and tests add transcritical shock elixir * Revert "add PR EOS, initial conditions, and tests" This reverts commit 19d14ac7c. * add PR EOS, initial conditions, and tests add transcritical shock elixir * remove redundant initial condition definition from elixir * add plotting utility * add AbstractNonIdealEulerEquations type * fix tests, remove broken include * export plotting function * fix PR density wave test * remove untested code * fix docstring * update tests * remove undefined export * try again to fix docstring * fix docs again * move initial conditions into elixirs and tests * rename a(T, eos) -> peng_robinson_a(T, eos), same for da, d2a * add ForwardDiff to elixir for use in initial condition * remove duplicate callbacks * Apply suggestions from code review Co-authored-by: Hendrik Ranocha <ranocha@users.noreply.github.com> * 0.5 -> 0.5f0 * formatting * add PR constructor which allows you to specify constants * print out EOS parameter in Trixi.get_name * fix transcritical wave test by moving IC to an elixir * fix docstring for entropy_math again * formatting * format expressions * add mass basis comments * fix references and change T0 to Tc for critical temperature T0 -> Tc * change cons2prim -> cons2thermo, make cons2prim return (rho, v1, p) * rename q -> u_thermo * fix cons2prim -> cons2thermo in tests * fix test * remove unused export * remove unused varnames * add transcritical comment * Apply suggestions from code review Co-authored-by: Daniel Doehring <doehringd2@gmail.com> * rename e -> e_internal * fix e_total -> e_{\text{total}} formatting * drop max EOS Newton iterations to 20 * fix dropped "_internal" * Apply suggestion from @ranocha Co-authored-by: Hendrik Ranocha <ranocha@users.noreply.github.com> * Apply suggestion from @ranocha Co-authored-by: He... (continued)
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