If you need to create many zero filled arrays of different lengths during the execution of your code, the fastest way I've found to achieve this is to create a zero array once, using one of the methods mentioned on this topic, of a length which you know will never be exceeded, and then slice that array as necessary.
For example (using the function from the chosen answer above to initialize the array), create a zero filled array of length maxLength, as a variable visible to the code that needs zero arrays:
var zero = newFilledArray(maxLength, 0);
Now slice this array everytime you need a zero filled array of length requiredLength < maxLength:
zero.slice(0, requiredLength);
I was creating zero filled arrays thousands of times during execution of my code, this speeded up the process tremendously.