In this paper, a brief summary of earlier results is given, which identified the linear-equation systemsolver as one of the least-scalable parts of the code. Based on these results, a chaotic iterative solver, which is a highly-asynchronous stationary solver for high-scalability, is proposed. This paper focuses on the suitability of such a solver, by investigating the linear equation systems produced by typical CFD problems. If the results are optimistic, future work will be carried out to implement and test chaotic iterative solvers for CFD.