6533b7d9fe1ef96bd126cdbf

RESEARCH PRODUCT

Efficient parallel computations of flows of arbitrary fluids for all regimes of Reynolds, Mach and Grashof numbers

Sergio ChibbaroI. Di PiazzaMarco MulasMarco TaliceGiovanni Delussu

subject

Computations Flow FluidNatural convectionApplied MathematicsMechanical EngineeringNumerical analysisCourant–Friedrichs–Lewy conditionGrashof numberMechanicsComputer Science ApplicationsPhysics::Fluid Dynamicssymbols.namesakeClassical mechanicsMach numberMechanics of MaterialsInviscid flowFluid dynamicssymbolsSupersonic speedSettore ING-IND/19 - Impianti NucleariMathematics

description

This paper presents a unified numerical method able to address a wide class of fluid flow problems of engineering interest. Arbitrary fluids are treated specifying totally arbitrary equations of state, either in analytical form or through look‐up tables. The most general system of the unsteady 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 method independent of the multi‐block partitioning on parallel machines. Computed test cases ranging from inviscid hydrodynamics, to natural convection loops of liquid metals, and to supersonic gasdynamics, show a solution efficiency independent of the class of fluid flow problem.

https://doi.org/10.1108/09615530210438337