These are the things I had to do to make the simulation run:
Change the opamp from the generic (symbol only) "opamp.asy" to "UniversalOpamp2.asy" because it has an underlying simulation model, which the other one does not. The first figure shows what happens if you put the cursor on U1, and right click the mouse. The window that pops up shows you the default parameters of the opamp model. Note that this is a pretty "hot" opamp. 10MhZ, high gain, low input bias, rail to rail, etc.
Because you want to run the opamp on a single supply, I had to bias the non-inverting input halfway between GND and +15V using R3 and R4. That also requires the addition of the input coupling (DC blocking) capacitor C2, otherwise the 7.5V bias would be shorted to DC ground through the source.
It looks like you want a gain of 2 in the non-inverting configuration ((1+R1/R2)=2). However, the 10Ω resistors are much, much too low in resistance. The Universal OpAmp can only source 25mA, so it can not drive resistors that low... I raised the feedback resistors R1 and R2 to 100K, keeping the gain at 2. I also had to use a capacitor to ground the feedback network for AC, but let it float at DC so that the bias around the opamp is not disturbed.
Before simulating in the Frequency Domain (.AC) , it is a good idea to use DC analysis (.DC) to check if the circuit is biased correctly. If you skip this step, the .AC analysis might not show you what is going on. I named some of the relevant nodes so you can see what the .DC analysis shows:
Now that I see the two inputs and the output biased to 7.5V, it is ok to go ahead and do the .AC analysis. Note that by putting in the two DC blocking capacitors, we introduced a low-frequency roll-off. If ~10Hz roll-off is a problem, make C1 and c2 bigger. Note that because this is such a "good" opamp, you cant even see a roll-off at 100kHz. A "real" opamp might begin loosing high frequencies at 100kHz. Note the 6db gain; i.e. a gain of 2.
Finally, I also did a time-domain (.TRAN) simulation by inserting a +-3V 1000Hz signal source. Note the gain of 2, and the offset due to the 7.5V bias.
Note that to really check out a design, it is necessary to do all three analyses..., .DC, .TRAN, and .AC.