As an assignment in college, I did a 1d simulation. The problem statement was to solve 1d shock tube problem involving compressible ideal gas as working fluid. For this problem, I solved system of Eulers equations using Roe's Riemann solver. I want to know, to solve the Euler's equations in 2 or 3 dimensions, where should I start? Which is the test problem, i should consider first? (Please don't suggest commercial solvers. I want to write my own code) just I need some help in writing my own code.
What are the good resources that introduce 2d problem in the most practical way?