AN IMPROVED ERROR INDICATOR FOR MESH ADAPTATION

References

• Tam , A. , Robichsud , M. P. , Tremblay , M. P. , Habashi , W. G. , Hohmeyer , M. , Guevrement , G. , Peelers , M. F. and Germain , P. 1998 . A 3-D Adaptive Anisotropie Method for External and Internal Flows . AIAA Paper 98-0771 ,
   Google Scholar
• D'Azevedo , E. F. and Simpson , R. B. 1991 . On Optimal Triangular Meshes for Minimizing the Gradient Error . Numer. Math. , 59 : 321 – 348 .
   Web of Science ®Google Scholar
• Nakahashi , K. and Deiwert , G. S. 1987 . Self-Adaptive-Grid Method with Application to Airfoil Flow . AIAA J , 25. no. 4 : 513 – 520 .
   Google Scholar
• Rcuss , S. 2002 . A Generally Applicable Mesh Adaptation Criterion, Ph.D. thesis , Waterloo, Ontario, Canada : University of Waterloo .
   Google Scholar
• öhnen , R. L . 1995 . Mesh Adaptation in Fluid Mechanics . Eng. Fracture Mech. , 50 ( 50 ) : 819 – 847 .
   Google Scholar
• Ferziger , J. H. and Peric , M. 1999 . Computer Methods for Fluid Dynamics , 2d , Heldelberg, Germany : SpringerVerlag .
   Google Scholar
• Dompierre , J. , Vallet , M.-G. , Fortin , M. , Bourgault , Y. and Habashi , W. G. 1997 . Anisotropie Mesh Adaptation: Towards a Solver and User Independent CFD . AIAA Paper 97-0861 ,
   Google Scholar
• Hawken. , D. F. , Gottlich , J. J. and Hansen , J. S. 1991 . Review of Some Adaptive NodeMovement Techniques in Finite-Element and Finite-Difference Solutions of Partial Differential Equations; . J. Comput. Phys. , 95 : 254 – 302 .
   Web of Science ®Google Scholar
• Rardin , R. L. 1998 . Optimization in Operations Research, chap. 13 , Upper Saddle River, NJ : Prentice Hall .
   Google Scholar
• Barth , T. J. 1992 . Aspects of Unstructured Grids and Finite Volume Solvers for the Euler and Navier Stokes Equations . ran Karman Inst. Lect. Ser., chap , 6
   Google Scholar
• Zwart , P. J. , Raithby , G. D. and Raw , M. J. 1999 . the Integrated Space-Time Finite Volume Method and Its Application to Moving Boundary Problems . J. Comput. Phys. , 154 : 497 – 519 .
   Web of Science ®Google Scholar
• Stubley , G. O. , Raithby , G. D. and Strong , A. B . 1990 . Proposal for a New Discrete Method Based on an Assessment of Discretization Errors . Numer. Heat Transfer , 3 : 411 – 428 .
   Google Scholar
• Straaten , B. P. Van , Simpson , R. B. and Slubley , G. D . 1995 . A Posteriori Error Estimation for Finite Volume Simulations of Fluid Flow Transport, Proc. Third Annual Conf. of the Camputational Fluid Dynamies Society of Canada . Banff. AB , : 349 – 356 .
   Google Scholar
• Zhang , X. D. , Trepanier , J.-Y and Camarero , R. 2000 . A Posteriori Error Estimation for Finite Volume Solutions of Hyperbolic Conservation Laws . Comput. Meth. Appt. Mech. Eng. , 185 : 1 – 19 .
   Web of Science ®Google Scholar
• üller , J.-D. M and Giles , M. B. 2001 . Solution Adaptive Mesh Refinement Using Adjoint Error Analysa . AIAA Paper 2001-2550 ,
   Google Scholar
• Papastavrou , A. and Verfuertb , R. 2000 . A Posteriori Error Estimators for Stationary Convection Diffusion Problems: A Computational Comparison . Comput. Meth. Appl. Mteh. Eng. , 189 : 449 – 462 .
   Web of Science ®Google Scholar
• Pelletier , D. and étu , J.-F. H . 1992 . An Adaptive Finite Element Methodology for Incompressible Viscous Flow. Advamces in Finite Element Analysis in Fhuid Dynamics II , Anahein. CA : ASME Winter Annual Meeting .
   Google Scholar
• Bank , R.E. and Smith , R. K. 1997 . Mesh Smoothing Using A Posteriori Error Estimates . SlAM J. Numer. Anø , 34. no. 3 : 979 – 997 .
   Google Scholar
• Roache , P. J. 1994 . Perspective; A Method for Uniform Reporting of Grid Refinement Studies . ASME J. Fluids Eng. , 116 : 405 – 413 .
   Web of Science ®Google Scholar