Improvement and Application of a Two Stream-Function Formulation Navier-Stokes Procedure
An improved structured-grid multiblock Navier-Stokes procedure, based on the two stream-function Euler-Potential formulation, is presented for the simulation of threedimensional incompressible flows in complex geometries. The algorithm is based on general non-orthogonal coordinates and employs a fully co-located storrage arrangement for all transport properties. In this, diffusion terms are approximated using second-order central differences, whereas advective fluxes are approximated using upwind biased schemes. The solution is iterated to convergence employing an ILU type (SIP) procedure. The numerical procedure has been parallelized by means of a domain decomposition strategy. Results are reported in comparison to measurements for a laminar curved duct flow and the simulation of three-dimensional wing flow at low angle of attack. The principal aim of the paper is to convey the capabilities of the pure stream-function formulation for the simulation of internal and external aerodynamic flows.
KeywordsGrid Block Processor Array Communication Step Secondary Motion Domain Decomposition Strategy
Unable to display preview. Download preview PDF.
- Xue, L., Rung, T., Thiele, F.: “Simulation of Unsteady Viscous Three-Dimensional Flow Fields Using a Two Stream Function Formulation”, Notes on Numerical Fluid Mechanics, 38 (1993), pp. 393–406.Google Scholar
- Schütz, H., Thiele, F.: “Zur Stromfunktionsformulierung der Navier-Stokes Gleichungen für dreidimensionale Strömungen”, ZAMM, 69 (1989), pp. 573–575.Google Scholar
- Lilek, Z., Períc, M., Seidl, V.: “Development and Application of a Finite Volume Method for the Prediction of Complex Flows”, in this publication.Google Scholar
- Durst, F., Peric, M., Schäfer, M., Schreck, E.: “Parallelization of Efficient Numerical Methods for Flows in Complex Geometries”, Notes on Numerical Fluid Mechanics, 38 (1993), pp. 79–92.Google Scholar
- Hofhaus, J., Meinke, M., Krause, E.: “Parallelization of Solution Schemes for the Navier-Stokes Equations”, in this publication.Google Scholar
- Durst, F., Schäfer, M., Wechsler, K.: “Efficient Simulation of Incompressible Viscous Flows on Parallel Computers”, in this publication.Google Scholar
- Bärwolff, G., Ketelsen, K., Thiele, F.: “Parallelization of a Finite-Volume Navier-Stokes Solver on a T3D Massively Parallel System”, Proc. 6th International Symposium on Computational Fluid Dynamics (1995), pp. 63–68, Lake Tahoe, Nevada, USA.Google Scholar
- Morzynski, M., Thiele, F.: “Numerical Investigation of Wake Instabilities”, Bluff-Body Wakes, Dynamics and Instabilities. Springer-Verlag, Berlin 1993, pp. 135–142.Google Scholar
- Schwamborn, D.:“Simulation of the DLR-F5 Wing Experiment Using a Block Structured Explicit Navier-Stokes Method”, Notes on Numerical Fluid Mechanics, 22 (1988), pp. 244–268.Google Scholar