I have found conflicting evidence to this.
Evidence pertaining to world wide flood
Taken from Islamqa.org
Does it say in the holy Quran whether the flood that affected Noah and his family was a worldwide or local one? Did it affect the whole world or only the village where Nuh(as) and his family lived.
1. The floods encompassed the whole world. (Tafseer Mazhari vol.6 pg.40)
2. Allah Ta’ala ordered Nooh to take onto the ship those useful to man. Nooh
(Alayhis salaam) excluded animals which live in water and earthly creatures.
(Bayaanul Qur’aan vol.1 pg.47; Hashiyatul Jamal; Tafseer Baghawi vol.2
pg.34). The first to enter was a parrot and the last was a donkey.
and Allah Ta’ala Knows Best
Moulana Muhammad Hashim
Qataadah said concerning the words “And, his progeny, them We made the survivors”: All people are among the progeny of Nooh (peace be upon him).
Tafseer al-Qur’an al-‘Azeem by Ibn Katheer, 7/22
And it sailed with them through waves like mountains...[Quran 11:42] : “This means that the ship sailed with them on the surface of the water, which had completely covered the earth until it enveloped the mountain tops.”
Tafseer Al-Lubaab by An-Nu’maani reads: “The flood covered the entire earth from north to south and from east to west.”
The Stories of the Prophets by Ibn Katheer reads: “The flood covered the entire earth, from north to south and from east to west, its valleys and cliffs, its mountains, its deserts, and its sands, and everyone who was on the surface of the earth died without exception. As regards the eighty people who were with Nooh, they did not leave any progeny as Allaah says (what means):
And We made his descendants those remaining [on the earth].[Quran 37:77]"
A group of scholars stated this; for instance, Ibn Katheer said: “It is related that ‘Ali ibn Abi Talhah related that Ibn ‘Abbas said: ‘It was only the offspring of Nooh that remained.’” Sa'eed ibn Abi ‘Aroobah said that Qataadah said: “All people are from the descendants of Nooh.” [End of quote]
At-Tabari said: “All the people – after the people of Nooh had been destroyed until today – are from the descendants of Nooh.” [End of quote]
Ibn Hajar may Allaah have mercy upon him said in Al-Fat-h: “After the flood, the people who remained were only the offspring of Nooh who was from the lineage of Sheeth; Allaah says (what means):
And We made his descendants those remaining [on the earth]; and with him on the ship were eighty people, and they were those whom Allaah referred to in the saying (which means):
But none had believed with him, except a few.[Quran 11:40] However, it was only the descendants of Nooh who remained, and they populated until they filled the earth.”
Mu‘jam Al-Buldaan (by Yaqoot al-Hamawi) 2/84 reads: “Thamaneen (eighty): A small town at Mount al-Joodi near the island of Ibn Umar At-Taghlabi above al-Mawsil city; the first person who settled in it was Nooh may Allaah exalt his mention when he went out of the ship and with him were eighty people. They built houses for them in that place and they dwelt in it, and so, the place was named after them. Then they were afflicted with an epidemic disease and the eighty people died whereas Nooh may Allaah exalt his mention and his children survived, so he is the father of all mankind.”
Evidence pertaining to local flood
Scholars Like Zakir Naik who interpret Quran in the light of science say "that Archaelogical evidence today tells us that it is impossible that whole earth was submerged. No where does the Quran say the full world was submerged under water. It speaks about Nuh (A.S) and his Qoum/people, a small group of people or may be a large group of people. Therefore Quran is matching with the Aracheological evidence of today."
There are many others who interpret a local flood for the Quran.
1) If it was a local flood, why Allah سبحانه وتعالى commanded Nuh (A.S) to take pairs of Animals with him?
2)If it was a local flood , why Allah told Nuh (A.S) to build a boat when He could have told him to Migrate or do Hijrah to some other place like that happened at the time of Hazrat Lut (A.S).
3) Why would orthodox scholars interpret this to be a world wide flood if Quran wasn't specifying either?
4) Those who say it is Local say it on the grounds that Archaelogical evidence suggests that. Is that a valid methodology of approaching Quran and Hadith?
5)Those who say it is Local say it on the grounds that Nuh (A.S) was sent for a specific tribe or group and Only Prophet Mohammad (P.B.U.H) is send for the whole man kind and this would contradict Quran. What is the response to that?
6) Those who say it was local say it on the grounds that World wide flood contradicts Quran because Allah سبحانه وتعالى doesn't punish a nation until He sends a warner; therefore it is not possible that other nations would have drowned prior to recieving the warning. What is your response to this?