TURBULENT FLOW CALCULATIONS USING UNSTRUCTURED AND ADAPTIVE MESHES

A method of efficiently computing turbulent compressible flow over complex two-dimensional configurations is presented. The method makes use of fully unstructured meshes throughout the entire flow field, thus enabling the treatment of arbitrarily complex geometries and the use of adaptive meshing techniques throughout both viscous and inviscid regions of the flow field. Mesh generation is based on a locally mapped Delaunay technique in order to generate unstructured meshes with highly stretched elements in the viscous regions. The flow equations are discretized using a finite element Navier-Stokes solver, and rapid convergence to steady state is achieved using an unstructured multigrid algorithm. Turbulence modelling is performed using an inexpensive algebraic model, implemented for use on unstructured and adaptive meshes. Compressible turbulent flow solutions about multiple-element aerofoil geometries are computed and compared with experimental data.

[1]  Timothy J. Baker,et al.  Three dimensional mesh generation by triangulation of arbitrary point sets , 1987 .

[2]  Dimitri J. Mavriplis,et al.  Adaptive mesh generation for viscous flows using delaunay triangulation , 1990 .

[3]  Adrian Bowyer,et al.  Computing Dirichlet Tessellations , 1981, Comput. J..

[4]  Paresh Parikh,et al.  Interactive generation of unstructured grids for three dimensional problems , 1988 .

[5]  Jacques Periaux,et al.  Numerical simulation of 3-D hypersonic Euler flows around space vehicles using adapted finite elements , 1987 .

[6]  Kazuhiro Nakahashi,et al.  FDM-FEM zonal method for viscous flow computations over multiple-bodies , 1987 .

[7]  Antony Jameson,et al.  Validation of a multigrid method for the Reynolds averaged equations , 1988 .

[8]  A Jameson,et al.  CALCULATION OF IN VISCID TRANSONIC FLOW OVER A COMPLETE AIRCRAFT , 1986 .

[9]  D. Mavriplis.  Multigrid solution of the two-dimensional Euler equations on unstructured triangular meshes , 1987 .

[10]  Timothy J. Barth,et al.  The design and application of upwind schemes on unstructured meshes , 1989 .

[11]  H. Lomax,et al.  Thin-layer approximation and algebraic model for separated turbulent flows , 1978 .

[12]  Dimitri J. Mavriplis,et al.  Algebraic turbulence modeling for unstructured and adaptive meshes , 1990 .

[13]  R. L. Sorenson,et al.  Use of hyperbolic partial differential equations to generate body fitted coordinates , 1980 .

[14]  Dimitri J. Mavriplis,et al.  Multigrid solution of the Navier-Stokes equations on triangular meshes , 1989 .

[15]  J. Peiro,et al.  Adaptive numerical solutions of the Euler equations in 3D using finite elements , 1989 .

[16]  Philippe Rostand,et al.  Algebraic turbulence models for the computation of two-dimensional high-speed flows using unstructured grids , 1989 .