sich ansiedeln
to settle
To take up a new residence in a particular place and become settled there.
Nach dem Krieg siedelten sich viele Flüchtlinge in dieser Region an.
After the war, many refugees settled in this region.

to settle / establish
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to settle
To take up a new residence in a particular place and become settled there.
Nach dem Krieg siedelten sich viele Flüchtlinge in dieser Region an.
After the war, many refugees settled in this region.

'Ansiedeln' (to settle / establish) is a separable verb. The prefix 'an' comes at the end in a main clause; in subordinate clauses and in the infinitive, it remains attached to the verb.
Die Firma siedelt viele neue Mitarbeiter in der Stadt an.
The company is settling many new employees in the city.
The verb 'ansiedeln' (to settle / establish) belongs to the word family around 'siedeln' (to settle, live). Related words are 'die Siedlung' (a settlement, a group of houses) and 'der Siedler' (a settler, a person who lives in a new place).
Die ersten Siedler bauten kleine Holzhäuser.
The first settlers built small wooden houses.
When people or animals begin living in a new place, the verb is used reflexively: 'sich ansiedeln' (to settle). The person or animal is then the subject of the sentence.
Viele junge Familien siedeln sich am Stadtrand an.
Many young families settle on the outskirts of the city.
When the meaning is to deliberately establish companies or animal species in a place, the verb is used transitively (with an accusative object). The subject is the person or institution controlling this process.
Die Regierung will gezielt neue Industrien in der Region ansiedeln.
The government wants to deliberately establish new industries in the region.
In this meaning, the accusative object is always something creative, such as a 'Roman' (novel), a 'Film' (film), or a 'Geschichte' (story). The place or time is usually given with the preposition 'in' (+ dative).
Die Regisseurin siedelt die Handlung im mittelalterlichen Frankreich an.
The director sets the plot in medieval France.
to found / be based on
'gründen' and 'ansiedeln' can both have to do with the beginning of something in a place. 'gründen' means that something new is created, for example a company or organization. 'ansiedeln' emphasizes the location: a company, industry, or animal species is brought to a specific place or established there. This can also be something that already existed before. The words can be confused when talking about new businesses. If the founding of the company is important, you say 'gründen'. If the location is important, you say 'ansiedeln'.

Die Stadt möchte neue Unternehmen im alten Industriegebiet ansiedeln.
The city wants to establish new companies in the old industrial area.
Meine Mutter gründet einen Verein für Nachbarschaftshilfe.
My mother is founding an association for neighborhood support.