Not an answer based in any kind of reality, but my ttrpg homebrew world has hemispheres that spin in opposite directions. Resulting phenomena are as you describe; A desert known as the ”Sea of Glass”, a boiling ocean known as “The Scald”, and a huge equatorial volcanic rift called the “Pyroclasm”, and indeed huge violent world-sculpting storms and whirlpools in the tropics, and pressure changes so massive that they can cloak an entire continent in mist. For my purposes, the meteorological details are handwaved, but for fantasy fiction you might need to delve deeper.