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Add Potential Temperature formulation (#113)

* first commit

* format, add tests and some references

* format

* format and typos

* add test

* fix

* fix tests

* format

* format and fix tests

* add more coverage

* fix test values

* format

* fix tests and format

* correct formatting

* other fixes

* add tolerance

* fix

* format and fix tests

* fix test tol

* add rtol

* update tests

* increase coverage

* reduce tol

* change rtol to atol

* increase coverage

* fix tgv

* fix test

* formatT

* format and fix flux lmars

* format and fix flux lmars

* increase coverage and add robert smooth bubble

* add tests for well balancing

* add test for robert bubble

* fix test values

* Update examples/elixir_euler_potential_temperature_baroclinic_instability.jl

Co-authored-by: Hendrik Ranocha <ranocha@users.noreply.github.com>

* Update examples/elixir_euler_potential_temperature_baroclinic_instability.jl

Co-authored-by: Hendrik Ranocha <ranocha@users.noreply.github.com>

* Update examples/elixir_euler_potential_temperature_baroclinic_instability.jl

Co-authored-by: Hendrik Ranocha <ranocha@users.noreply.github.com>

* Update examples/elixir_euler_potential_temperature_baroclinic_instability.jl

Co-authored-by: Hendrik Ranocha <ranocha@users.noreply.github.com>

* Update examples/elixir_euler_potential_temperature_baroclinic_instability.jl

Co-authored-by: Hendrik Ranocha <ranocha@users.noreply.github.com>

* Update examples/elixir_euler_potential_temperature_baroclinic_instability.jl

Co-authored-by: Hendrik Ranocha <ranocha@users.noreply.github.com>

* apply review suggestions

* add comments and fix export

* apply review suggestions

* fix Float32 baroclinic instability

* better formatting

* add description of the parameters

* format

* format

* apply suggestions to mountain wave test cases

* fix solve call

* fix mountain schaer

* fix solve calls

* fix solve calls, add ;

* change test values

* fix test values

* fix tests

*... (continued)

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Source Files on job 18159265418.1