Submission can be described as an action of yielding and surrendering to a superior force or power. Although traditionally, it simply means to hand over a script, project, assignment for evaluation.
A. The commander submitted to the advances of the invading armed forces.
B. Remind Kate to make her submission to the board before Monday.
Submittal is quite technical. It could mean the act of submitting but that exists as archaic. Alternatively, in construction companies, submittal means material data, product data and samples.