The storm is where several religions located the voice of God. The book of Job resolves, insofar as it resolves at all, with the Lord answering Job out of the whirlwind; Sinai is wrapped in thunder and cloud; the storm riders Baal, Indra, Thor and Zeus held the chief thrones of their pantheons, and the psalmist's storm strips the forest bare while everything in the temple cries glory. Weather was the first theatre of the numinous, and the dream storm inherits a stage on which power beyond the dreamer's scale has always performed.
The old handbooks read storms practically, as they read the sea, danger for those whose living was exposed to weather, disturbance of affairs for the rest, with the storm passed over or survived read toward trouble outlasted. The folk dictionaries kept the same line, quarrels brewing, news breaking, the air cleared afterward.
The modern psychological reading holds the image at its plainest: the storm as emotion at a scale the dreamer cannot manage, anger, grief or crisis gathering, breaking and passing, with the dream's position in that sequence, the darkening sky, the storm's height, the strange calm after, read as a report on where the dreamer stands in their own weather. Interpreters note that the aftermath matters as much as the violence, since storms in dreams, as in the older theophanies, tend to leave the landscape changed and the air breathable.