Rain has lashed Adelaide and caused flooding of roads, homes and businesses on Tuesday morning, and the bureau says more wet weather is on the way in three states.

With summer just days away, South Australia’s capital was smashed by significant falls of up to 45 millimetres in a wild storm with more than 155,000 lightning strikes.

Trees and powerlines were bought down and thousands of tens of thousands of homes were without power across the city.

There was also disruption at Adelaide Airport where flights had to be cancelled.

The largest falls were at Scotch College which was slammed with 45.8 millimetres in the hour to 7am.

Bellevue Heights had 46.6 millimetres in the three hours to 8.52am.

Adelaide city got 33.6 millimetres and Adelaide Airport 35.8 millimetres to 9am.

“This was the airport’s wettest day in over four years, and its wettest November day in 59 years,” forecaster Weatherzone said.

“For the city, it was the wettest November day in 18 years.”

Noarlunga, in Adelaide’s southern suburbs, received 46 millimetres – a 12-year high.

Meanwhile, the Bureau of Meteorology issued severe thunderstorm warnings on Tuesday for parts of NSW, Victoria and South Australia.

The storms could bring heavy rain with the potential for flash flooding, damaging winds and large hailstones in areas such as Braidwood, Canberra, Goulburn, Yass, Bombala and Tidbinbilla, Griffith, Hay, White Cliffs, Wentworth, Ivanhoe and Menindee.

In Victoria, severe thunderstorms could hit the regions of Dargo, Buchan, Chandlers Creek, Combienbar, Gelantipy and Bonang, Mildura and Robinvale.

South Australia was warned again that more heavy rain was on the way, also with the potential for damaging winds and hail, in areas such as Renmark, Murray Bridge, Jamestown, Karoonda, Burra and Peterborough.

Weatherzone said it was going to be a another wet and stormy week for large parts of eastern Australia, with an upper-level low-pressure system the engine for the moisture.

“Significant rain from this system is already fairly widespread across the eastern half of the country. But the Adelaide area received some of the country’s biggest falls to 9am Tuesday,” it said.

The rain was expected to clear by Tuesday night but not before several SA districts received a good soaking. They included the Riverland and Mid-North, Kangaroo Island and lower parts of the Yorke Peninsula.

-with AAP