How to reload/refresh jQuery dataTable?

With version 1.10.0 of DataTables, it is built-in and easy:

var table = $('#example').DataTable();
table.ajax.reload();

or just

$('#example').DataTable().ajax.reload();

http://datatables.net/reference/api/ajax.reload()

Destroy the datatable first and then draw the datatable.

$('#table1').DataTable().destroy();
$('#table1').find('tbody').append("<tr><td><value1></td><td><value1></td></tr>");
$('#table1').DataTable().draw();