
schwärmen für
to be crazy about
To feel great enthusiasm or a secret crush for someone or something.
Als Jugendliche hat sie für einen bekannten Schauspieler geschwärmt.
As a teenager, she was crazy about a famous actor.
to rave / swarm
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to be crazy about
To feel great enthusiasm or a secret crush for someone or something.
Als Jugendliche hat sie für einen bekannten Schauspieler geschwärmt.
As a teenager, she was crazy about a famous actor.

to swarm
To move in a large swarm, which is typical of insects like bees or of birds.
Ein Teil des Bienenvolks ist geschwärmt, um eine neue Königin zu suchen.
Part of the bee colony swarmed to look for a new queen.

to swarm out
To stream to a place, or away from it, in large numbers and often with enthusiasm.
Nach dem Konzert schwärmten die Besucher in alle Richtungen aus.
After the concert, the visitors swarmed out in all directions.
The verb 'schwärmen' is closely related to the noun 'der Schwarm' (the swarm). A 'Schwarm' is a large group of animals (e.g., bees, fish) or also people moving together.
Ein großer Schwarm Vögel flog über den Himmel.
A large flock of birds flew across the sky.
The preposition 'für' signals the meaning 'to be enthusiastic about'. When the subject is insects or birds, it refers to movement in a swarm. When people are the subject, it often means 'to stream somewhere in large numbers'.
Sie schwärmt für italienische Opern.
She is crazy about Italian operas.
If you want to express that someone is enthusiastic about a person or thing, always use the preposition 'für' followed by the accusative. A different preposition is wrong here.
Er schwärmt schon seit Wochen für seine neue Kollegin.
He has been crazy about his new colleague for weeks.
In the meaning 'to move in large numbers', 'schwärmen' is often combined with the separable verb 'ausschwärmen' (to swarm out) or with directional phrases like 'in die Stadt' (into the city) or 'in alle Richtungen' (in all directions).
Am ersten sonnigen Tag schwärmen die Menschen in die Parks.
On the first sunny day, people swarm into the parks.
to stream / pour
Strömen and schwärmen can both describe many people moving toward a place. Strömen emphasizes a continuous, directed flow of people. Schwärmen presents the movement more as swarm-like and often enthusiastic. Use strömen for a steady stream of visitors and schwärmen for a lively, enthusiastic crowd.

Nach der Öffnung schwärmten begeisterte Fans in großer Zahl ins Stadion.
After the gates opened, large numbers of enthusiastic fans swarmed into the stadium.
Nach der Öffnung strömten die Besucher kontinuierlich durch die Tore ins Stadion.
After the gates opened, visitors streamed continuously into the stadium.