Two-dimensional Euler and Navier-Stokes Time accurate simulations of fan rotor flows
Two numerical methods are presented which describe the unsteady flow field in the blade-to-blade plane of an axial fan rotor. These methods solve the compressible, time-dependent, Euler and the compressible, turbulent, time-dependent, Navier-Stokes conservation equations for mass, momentum, and energy. The Navier-Stokes equations are written in Favre-averaged form and are closed with an approximate two-equation turbulence model with low Reynolds number and compressibility effects included. The unsteady aerodynamic component is obtained by superposing inflow or outflow unsteadiness to the steady conditions through time-dependent boundary conditions. The integration in space is performed by using a finite volume scheme, and the integration in time is performed by using k-stage Runge-Kutta schemes, k = 2,5. The numerical integration algorithm allows the reduction of the computational cost of an unsteady simulation involving high frequency disturbances in both CPU time and memory requirements. Less than 200 sec of CPU time are required to advance the Euler equations in a computational grid made up of about 2000 grid during 10,000 time steps on a CRAY Y-MP computer, with a required memory of less than 0.3 megawords.
- Research Organization:
- National Aeronautics and Space Administration, Cleveland, OH (USA). Lewis Research Center
- OSTI ID:
- 6516956
- Report Number(s):
- N-90-25948; NASA-TM-102402; E-5155; NAS-1.15:102402; ICOMP-89-29
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
UNSTEADY FLOW
COMPUTERIZED SIMULATION
COMPRESSIBILITY
CONSERVATION LAWS
CRAY COMPUTERS
DIFFERENTIAL EQUATIONS
KINETIC ENERGY
NAVIER-STOKES EQUATIONS
REYNOLDS NUMBER
ROTORS
RUNGE-KUTTA METHOD
TIME DEPENDENCE
TURBULENCE
COMPUTERS
ENERGY
EQUATIONS
FLUID FLOW
ITERATIVE METHODS
MECHANICAL PROPERTIES
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
SIMULATION
420400* - Engineering- Heat Transfer & Fluid Flow