Add benchmarking for refinement method and reduce allocations (#213)

* Add billowing mode and example

* Improve plotting legends

* Update docs news and project

* Update settings

* Working billowing

* Update billowing to use catenary

* Print billowing diff

* Improve coverage and fix direction

* Reduce allocations for refinement

* Unify to one func

* Address copilot comments

Author: 1-Bart-1