The usual rule with LC circuits is to use the lumped model if the circuit is considerably smaller than the wavelength, or if the propagation time is considerably smaller than the rise time.
With RC circuits however, using the distributed model is important no matter the wavelength and there are relations between the lumped and distributed models. For example, the time to reach 63% of the final voltage is half for the distributed model (the Elmore delay).
I'm concerned about the difference in terms of ringing period and peak ringing amplitude between the distributed and lumped LC, not considering any wave behaviour (the circuit is much smaller than the wavelength). I couldn't find any relation between the two approaches. It would be useful to simulate it as lumped and use a simple conversion to get the real behaviour, like for distributed RC.
So my questions are:
1.What are the relations between distributed and lumped LC?
2.If the circuit is much smaller than the wavelength, is it true that all the voltages measured on the line have the same phase? Is the LTspice (or PSpice) simulation accurate?
later edit: in the picture above the voltages are in phase because it is not long enough or it doesn't have enough inductance or capacitance. I've managed to get the same delay as for the transmission line component by using 10 LC elements and enough inductance.