Efficient parallel computationsof flows of arbitrary fluids forall regimes of Reynolds, Machand Grashof numbers

This paper presents a unified numerical method able to address a wide class of fluid flowproblems of engineering interest. Arbitrary fluids are treated specifying totally arbitrary equationsof state, either in analytical form or through look-up tables. The most general system of theunsteady Navier–Stokes equations is integrated with a coupled implicit preconditioned method.The method can stand infinite CFL number and shows the efficiency of a quasi-Newton methodindependent of the multi-block partitioning on parallel machines. Computed test cases rangingfrom inviscid hydrodynamics, to natural convection loops of liquid metals, and to supersonicgasdynamics, show a solution efficiency independent of the class of fluid flow problem.