Trying to (Simply) Simulate a Protoplanetary Disc

ThePsion5

Hi,
I'm a (very) amateur astrophysicist, and for the past couple of weeks I've been interested in creating a very rough web-based simulation of planetary formation. I've decided to limit the initial scope of this project as much as possible by starting with a VERY rudimentary simulation of a protoplanetary disc.

I know that I have little hope of understanding the math and writing/understanding algorithms to simulate things like fluid dynamics and gravitational instability, so instead I want to try and simulate a protoplanetary disc as a horizontal cross-section with density, temperature, and shear force attributes. I can then use these attributes to calculate a rough metric for stability per any radial section of the disc and from there work on simulating planet formation.

I THINK that this is possible - at least to the extent that it won't give wildly unrealistic or physically impossible results. But I'm not exactly sure where to start. I was hoping that someone could point me in the right direction (or a direction in general).

Thanks in advance!

EDIT: An example of where I might start is by writing an algorithm that will determine the average temperature of the disc at radius r given some basic info about its mass and density.