The phrase "adapts smoothly" is correct and usable in written English.
You can use it to describe how something adjusts or changes in a seamless or effortless manner.
Example: "The software adapts smoothly to different operating systems, ensuring a consistent user experience."
Alternatives: "adjusts seamlessly" or "modifies effortlessly."
But Zereoue seems to have adapted smoothly in going from American football to the global football.
Their replacements, however, have mostly adapted smoothly to the team's configuration and to Simeone's counterattacking style.
Mrs. Vester and her husband, Horatio Vester, adapted smoothly to the Israeli victory in the 1967 Arab-Israeli war, which unified Jerusalem under Israeli rule.
Ms. Kole adapted smoothly to each of her other guests, with the possible exception of Mr. Alexander, who treated "All the Way" as a hammy farce into whose comedic spirit Ms. Kole gamely tried to enter.
Soon, her mother married the kindly, distracted, philandering philosopher A. J. Ayer, known as Freddie, and Ms. Wells adapted smoothly to a chaotic but glittering domestic life in Camden Town, in London, and in the South of France at her mother's lovely, ramshackle farmhouse, La Migoua.
They can also be adapted smoothly to many non-first-order languages.
The desalination unit showed good flexibility, adapting smoothly to variations in wind power, even when sudden drops or rises occurred.
A more gradual descent would allow the global economy time to adapt smoothly.
One of the jazz world's most visible female instrumentalists, McPartland's highly personal style was rich with colorful harmonies and briskly swinging rhythms, enhanced by a love of bebop, while adapting smoothly to the many stylistic changes taking place in jazz over the course of a career spanning more than half a century.
"They adapted relatively smoothly".
