trixi-framework / TrixiAtmo.jl / 12007086145

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Covariant form as variable-coefficient problem using auxiliary variables  (#47)

* linear advection on the sphere

* formatter

* very preliminary implementation of covariant form with p4est

* removed untracked

* removed allocations, now 100x faster

* add DS_Store to gitignore

* add DS_Store to gitignore

* made equations actually 2D

* integrated upstream changes

* analysis callback for covariant form

* cleanup

* separate Andres's spherical shell containers from main Trixi

* Added containers and 2D p4est mesh from my spherical shell implementation in Trixi.jl (cherry-picked from f45378e)

Co-authored-by: Tristan Montoya <montoya.tristan@gmail.com>

* Added element container with PtrArray for performance and modified the structure

* format

* Fixed bug in the definition of init_elements and added nelements(). eltype() and ndims() functions for new struct

* integrated Andres's new container type with covariant solver

* added flux-differencing kernel for covariant form

* integrated Andrés' PR with covariant solver

* add tests for spherical advection in Cartesian coords

* revert change to moist bubble case

* revert change to moist bubble case

* covariant weak form with tests

* removed shallow water from this branch

* reorganize a bit

* hard-code dimension of node coordinates to avoid type instability

* metric terms for shell of radius != 1

* test for covariant form is now on earth scale

* fix name of cartesian test

* moved i,j,element,cache into flux signatures for covariant form

* added test for flux differencing covariant form

* transformation between local coordinate systems now uses latitude-longitude as intermediate state, not Cartesian

* format

* make compatible with my PR trixi-framework/Trixi.jl#2068

* separate containers to store geometric information specific to covariant form

* add element-local mapping from Guba et al.

* add reference to Gu... (continued)

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