dear for all; Its known that of incompressible flow we utilise the solvers such as: MAC,SIMPLE, SIMLEC, SIMPLEV (in stageredor collacated grid)or the artificial compressibility method. in Compressible flow we utilise the solvers like: explicit and implicit MacCormak, Runge Kutta schemes, etc. My problem is that I'm going to developped a solver for simulating the 2D incompressible turbulent (k-e model)flow nutilising the artificial compressibility. After some transformation I have obtained the system of equations in hyperpolic form (du/dt+dF/dx+dG/dy=0), where the F and G are the concective-diffusion vectors. I wante to resolve this with Runge-Kutta or MacCormak shmes (developped initialy for comprresible flows). I can doing this or no? very thanks in advance

Maybe you can read:

Numerical Solutions of the Euler Equations by Finite Volume Methods Using Runge-Kutta Time-Stepping Schemes A Jameson, W. Schmidt, and E. Turkel AIAA Paper 81-1259, AIAA 14th Fluid and Plasma Dynamic Conference, Palo Alto, June 1981. http://aero-comlab.stanford.edu/Pape....1981-1259.pdf

A Finite-Volume Method with Unstructured Grid for Free Surface Flow Simulation Hino Takanori Proc. of the Sixth International Conference on Numerical Ship Hydrodynamics(1994)

thank you Ruben, but my quation is: Can I applicate the compressible navier stokes shemes in incompressible case?