HLLC solver on 2D shallow water equations
 

Hi everyone, I'm working on a code for solving the 2D shallow water equations with no source terms using the HLLC solver. I have read on the book of Toro "Shock Capturing Methods for Free Surface Shallow Flows" a tecnique called dimensional splitting, in which I first solve the problem along the x direction (x-split) and then use the solution from the x direction to solve the problem in the y direction (y-split) to obtain the next step of the conserved variables. According to your opinion does this approach work for the problem I'm working on? Because online I found some articles (https://arxiv.org/ftp/arxiv/papers/1801/1801.07441.pdf) talking about the rotational invariance of the shallow water equations and I can't understand totally if that's the same thing as the dimensional splitting or not.

Yes, I am new to all this subject, so please excuse me if I'm not clear or if my question is a silly one. Thanks for your help.