How to read TimeValues or write TimeStep

I’m writing time dependent files using the WriteTimeStep(time) function. This makes a TimeValues array in the XML file of whatever times I give. The problem I’m having is that I can’t seem to access TimeValues with the reader, and I can’t find it in the information object either. I can access TimeStep just fine, but that’s not what I want since I can’t write TimeStep it seems.

Two things would solve my problem: being able to access TimeValues or, better yet, being able to explicitly write TimeStep values one at a time. Any ideas on how to do either of these?

Here’s an example of a file I generate. Notice the inconsistent TimeValues and TimeStep, which is what happens when using WriteTimeStep(time).

<?xml version="1.0"?>
<VTKFile type="UnstructuredGrid" version="0.1" byte_order="LittleEndian" header_type="UInt32" compressor="vtkZLibDataCompressor">
  <UnstructuredGrid  TimeValues="
    <Piece NumberOfPoints="16"                   NumberOfCells="0"                   >
        <DataArray type="Float64" Name="Velocity" NumberOfComponents="3" TimeStep="0" format="appended" RangeMin="0.64885146911"        RangeMax="2.3077239037"         offset="0"                   />
        <DataArray type="Float64" Name="Velocity" NumberOfComponents="3" TimeStep="1" format="appended" RangeMin="0.7079698782"         RangeMax="2.4704857071"         offset="1152"                />
        <DataArray type="Float64" Name="Velocity" NumberOfComponents="3" TimeStep="2" format="appended" RangeMin="0.98093253033"        RangeMax="3.047833036"          offset="2288"                />
        <DataArray type="Float64" Name="Velocity" NumberOfComponents="3" TimeStep="3" format="appended" RangeMin="0.97300027528"        RangeMax="2.6041614188"         offset="3424"                />