Victoria Kettley, a forecaster with MeteoGroup, the weather division of the Press Association, said: "There were gales of up to 72mph in the north east but the strongest of the winds have now passed. It will still remain breezy though with some winds of around 30mph lingering in areas.
"The heavy rain that has caused problems in the north of England is spiralling westwards but some heavy showers will arrive in the central belt of Scotland this evening and into the morning.
"Some areas could suffer localised flooding with around 5mm to 8mm of rain falling but generally it will be between 2mm and 5mm and should disperse by 3am on Wednesday."
Yellow "be aware" warnings issued by the Met Office remain in place for much of the country with rain expected to continue.
Seven flood warnings issued by the Scottish Environment Protection Service also remain in place in the Borders and the Lothians as some rivers burst their banks in the south of the country.