Three-dimensional flow simulation on high-performance computers. (English) Zbl 0865.76067
Summary: A numerical method for calculating three-dimensional, steady, incompressible, viscous flows is described. The conservation equations for mass and momentum and the equation of the \(k-\varepsilon\) turbulence model are solved with a finite volume method on nonorthogonal boundary-fitted grids. The method employs cell-centered variable arrangement and Cartesian velocity components. The SIMPLE algorithm is used to calculate the pressure and to enforce mass conservation. The computer code is vectorizable as far as possible to achieve an optimal performance on modern vector computers. Results of laminar and turbulent flow calculations in \(90^\circ\) bends with circular and square cross-section and in the stator of a hydrodynamic torque converter are presented.
MSC:
| 76M25 | Other numerical methods (fluid mechanics) (MSC2010) |
| 76D05 | Navier-Stokes equations for incompressible viscous fluids |
| 76F10 | Shear flows and turbulence |
Keywords:
\(k\)-epsilon model; finite volume method; nonorthogonal boundary-fitted grids; SIMPLE algorithm; hydrodynamic torque converterReferences:
| [1] | Adrian , F.-W. Strömungsuntersuchungen und -analyse in Kreisläufen hydrodynamischer Wandler 1985 |
| [2] | Enayet, Laser-Doppler measurements of laminar and turbulent flow in a pipe bend, International Journal of Heat and Fluid Flow 3 pp 213– (1982) |
| [3] | Humphrey, Laminar flow in a square duct of strong curvature, Journal of Fluid Mechanics 83 pp 509– (1977) · Zbl 0367.76026 |
| [4] | Leister , H.-J Perĭ , M. Vectorized strongly implicit solving procedure for a seven-diagonal coefficient matrix 1994 159 172 |
| [5] | Majumdar, Three-dimensional finite-volume method for incompressible flows with complex boundaries, Transactions of the ASME: Journal of Fluids Engineering 114 pp 496– (1992) |
| [6] | Patankar, A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows, International Journal of Heat and Mass Transfer 15 pp 1778– (1972) · Zbl 0246.76080 |
| [7] | Patel, Turbulence models for near-wall and low Reynolds number flows: A review, AIAA Journal 23 pp 1308– (1985) |
| [8] | Perĭ, A finite volume method for the prediction of three-dimensional fluid flow in complex ducts (1985) |
| [9] | Rhie, A numerical study of the turbulent flow past an isolated airfoil with trailing edge separation, AIAA Journal 21 pp 1525– (1981) · Zbl 0528.76044 |
| [10] | Schlichting, Grenzschichttheorie pp 556– (1965) |
| [11] | Stone, Iterative solution of implicit approximations of multidimensional partial differential equations, SIAM Journal on Numerical Analysis 5 pp 530– (1968) · Zbl 0197.13304 |
| [12] | Taylor , A. M. K. P. Whitelaw , J. H.; Yianneskis , M. Measurements of laminar and turbulent flow in a curved duct with thin inlet boundary layers 1981 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
