The equivalent circuit of a pot with center tap

I'm seriously curious about the equivalent circuit of a potentiometer with center tap which is usually used to be a volume with loudness function. It contains 4 terminals where the 4th terminal is the center tap connection. However, most simulation software don't have the 4-terminal symbol as attached. So, I wonder whether we could draw the equivalent circuit by a regular potentiometer (only have 3 terminals) with additional resistor(s). Please advice

PotMeterWithMidPoint.JPG
 
If no better model available, I would build a 3 resistor array as shown in post #1, assign proper values so end to end value is pot value, and sections varying according to "wiper position", load "taper loudness load" and simulate it 11 times simulating knob position from 0 to 10.

Easy peasy when using simulation software.
Then graph those values.

Curves found will give a very usable description of what is happening.