The best replacement for cold front is warm front.

The best alternatives to cold front are rated as following:
★★★★★  warm front
★  polar vortex
  low pressure

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Speaking about cold front, one probably shouldn't forget about high pressure.

Other search terms related to cold front and their ratings are:
★★★★★ high pressure
★ precipitation
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Google Trends

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cold front
warm front
polar vortex