How to reload table when using localStorage as data source?

mspdev

I am populating my DataTable from HTML5 local storage. The initial load works great, but how do I reload the table after I have made updates to the local storage? I would like to manually trigger the reload, like I was able to do using "ajax.reload()" when using server side processing.

Here's my DataTable initialization:

$('#pubTable').dataTable({
 'processing': false,
 'data': JSON.parse(localStorage.getItem('publications')),
 'columns': [
      { 'data': 'rank', 'class': 'text-center' },
      { 'data': 'publicationNumber' },
      { 'data': 'publicationDate' }
 ],
 });