Discontinuity-capturing finite element computation of unsteady flow with adaptive unstructured mesh

Acta Mechanica Sinica/Lixue Xuebao

Volumn 20, Issue 4, 2004, Pages 347-353

  Dong, Genjin ^a   Lu, Xiyun ^a   Zhuang, Lixian ^a  

^a UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

Author keywords

Discontinuity capture; Finite element method; Unsteady viscous flow; Unstructured and adaptive mesh

Indexed keywords

REYNOLDS NUMBER; SHOCK WAVES; UNSTEADY FLOW; VISCOUS FLOW;

DISCONTINUITY CAPTURING; SHEAR LAYERS; UNSTRUCTURED AND ADAPTIVE MESH; UNSTRUCTURED GRID TECHNIQUE;

FINITE ELEMENT METHOD;

EID: 7944229108     PISSN: 05677718     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02489372     Document Type: Article

References (12)

1. Harten A. On a class of high resolution total variation stable finite difference scheme. SIAM J Numer Anal, 1984, 21: 1-23
2. E W, Shu C-W. A numerical resolution study of high order essentially non-oscillatory schemes applied to incompressible flow. J Comput Phys, 1994, 110: 39-46
3. Hughes TJR, Mallet M. A new finite element formulation for computational fluid dynamics. Part IV: A discontinuity-capturing operator for multidimensional advective-diffusive system. Comput Methods Appl Mech Engrg, 1986, 58: 329-336
4. Lohner R. An adaptive finite element scheme for transient problem in CFD. Comput Methods Appl Mech Engrg, 1987, 61: 323-338
5. Pelletier D. Adaptive finite element computations of complex flows. Int J Numer Methods Fluids, 1999, 31: 189-202
6. Lohner R, Baum JD. Adaptive h-refinement on 3D unstructured grids for transient problems. Int J Numer Methods Fluids, 1992, 14: 1407-1419
7. Rebay S. Efficient unstructured mesh generation by means of Delaunay triangulation and Bowyer-Watson algorithm. J Comput Phys, 1993, 106: 125-138
8. Brooks AN, Hughes TJR. Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations. Comput Methods Appl Mech Engrg, 1982, 32: 199-258
9. Le Beau GJ, Ray SE, Aliabadi SK, et al. SUPG finite element computation of compressible flows with the entropy and conservation variables formulations. Comput Methods Appl Mech Engrg, 1993, 104: 397-422
10. Yee HC, Harten A. Implicit TVD scheme for hyperbolic conservation laws in curvilinear coordinates. AIAA J, 1987, 25: 266-274
11. Wang YX, Yang GW, Lu XY, et al. Finite element analysis of the flow induced by rotating blades in an incompressible viscous fluid. J Hydrodyn, Ser B, 2002, 14(2): 36-40
12. Koopmann GH. The vortex wakes of vibrating cylinders at low Reynolds numbers. J Fluid Mech, 1967, 28: 501-512