MULTILEVEL SOLUTION-ADAPTIVE DIFFERENCING STRATEGIES FOR CONVECTIVE FLOWS

REFERENCES

• S. Acharya , Solution Adaptive Techniques in Computational Heat Transfer and Fluid Flow , Comput. Mech. , vol. 14 , no. 5 , pp. 447 – 467 . 1994 .
   Web of Science ®Google Scholar
• A. Harvey , S. Acharya , and S. Lawrence , Space-Marching Calculations About Hypersonic Configurations Using Solution-Adaptive Mesh Algorithms , AIAA J. , vol. 31 , no. 10 , pp. 1809 – 1818 . 1993 .
   Google Scholar
• F. Moukalled and S. Acharya , A Local Adaptive Grid Procedure for Incompressible Flow with Multigridding and Equidistribution Concepts , Int. J. Numer. Methods Fluids , vol. 13 , pp. 1085 – 1111 . 1991 .
   Web of Science ®Google Scholar
• R. Phillips and F. W. Schmidt , Multigrid Techniques for the Solution of the Passive Scalar Advection-Diffusion Equation , Nuttier. Heat Transfer , vol. 8 , pp. 25 – 43 . 1985 .
   Web of Science ®Google Scholar
• R. E. Phillips and F. W. Schmidt , A Multilevel-Multigrid Technique for Recirculating Flows , Numer. Heat Transfer , vol. 8 , pp. 573 – 594 . 1985 .
   Web of Science ®Google Scholar
• L. Demkowicz , J. T. Oden , T. Strouboulis , and P. DevJoo , An Adaptive p-Version Finite Element Method for Transient Flow Problems with Moving Boundaries , in R. H. Gallagher , G. F. Carey , J. T. Oden , and O. C. Zienkiewicz (eds.), Finite Elements in Fluids , vol. 6 , pp. 291 – 305 , John Wiley , Chichester , 1985 .
   Google Scholar
• P. Devloo , J. T. Oden , and P. Pattani , An h-p Adaptive Finite Element Method for the Numerical Simulation of Compressible Flow , Comput. Methods Appl. Mech. Eng. , vol. 70 , pp. 203 – 235 . 1998 .
   Google Scholar
• J. T. Oden , W. Rachowicz , and S. R. Kennon , Numerical Analysis of Three-Dimensional Compressible Navier-Stokes Equations Using an Adaptive h-p Finite Element Method , AIAA Paper 91–0119 presented at the 29th Aerospace Sciences Meeting , Reno , Nevada . 1991 .
   Google Scholar
• J. T. Oden and L. Demkowicz , Advances in Adaptive Improvements A Survey of Adaptive Finite Element Methods in Computational Mechanics , in A. K. Noor and J. T. Oden (eds.), State-of-the-Art Surveys in Computational Mechanics , ASME , New York , 1988 .
   Google Scholar
• T. Rhodes and S. Acharya , An Adaptive Differencing Scheme for Flow and Heat Transfer Problems , Numer. Heat Transfer, Part B , vol. 23 , no. 2 , pp. 153 – 174 . 1993 .
   Web of Science ®Google Scholar
• S. V. Patankar , Numerical Heat Transfer and Fluid Flow , Hemisphere , Washington , D.C. , 1980 .
   Google Scholar
• B. P. Leonard , A Stable and Accurate Convective Modeling Procedure Based on Quadratic Upstream Interpolation , Comput. Methods Appl. Mech. Eng. , vol. 19 , pp. 59 – 98 . 1979 .
   Web of Science ®Google Scholar
• B. P. Leonard , Elliptic Systems Finite-Difference Method IV , in Handbook of Numerical Heat Transfer , pp. 347 – 378 , Wiley , New York . 1988 .
   Google Scholar
• B. P. Leonard , Simple High-Accuracy Resolution Program for Convective Modelling of Discontinuities, Int. J. Numer. Methods Fluids , vol. 8, pp. 1291–1318. 1988.
   Web of Science ®Google Scholar
• T. Han , J. A. C. Humphrey , and B. E. Launder , A Comparison of Hybrid and Quadratic-Upstreain Differencing in High Reynolds Number Elliptic Flows , Comput. Methods Appl. Mech. Eng. , vol. 29 , pp. 81 – 95 . 1981 .
   Web of Science ®Google Scholar
• T. Rhodes , An Adaptive Differencing Scheme for Elliptic Flows , Ph.D. thesis , Louisiana State University , Baton Rouge . 1991 .
   Google Scholar
• M. J. Berger and A. Jameson , Automatic Adaptive Grid Refinement for the Euler Equations , AIAA J. , vol. 23 , pp. 561 – 568 . 1985 .
   Google Scholar
• O. R. Burggraf , Analytical and Numerical Studies of the Structure of Steady Separated Flows , J. Fluid Mech. , vol. 24 , pp. 113 – 151 . 1966 .
   Web of Science ®Google Scholar
• U. Ghia , N. Ghia , and C. T. Shin , High-Re Solutions for Incompressible Flow Using Navier-Stokes Equations and a Multi-Grid Method , J. Comput. Phys. , vol. 48 , pp. 387 – 411 . 1982 .
   Web of Science ®Google Scholar
• R. Schreiber and H. B. Keller , Driven Cavity Flows by Efficient Numerical Techniques , J. Comput. Phys. , vol. 39 , pp. 310 – 333 . 1983 .
   Google Scholar
• B. F. Armaly , F. Durst , J. C. F. Pereira , and B. Schonung , Experimental and Theoretical Investigation of Backward-Facing Step Flow , J. Fluid Mech. , vol. 127 , pp. 473 – 496 . 1983 .
   Web of Science ®Google Scholar
• F. H. Moukalled , Adaptive Grid Solution Procedure for Elliptic Flows , Ph.D. thesis , Louisiana State University , Baton Rouge . 1987 .
   Google Scholar
• Address correspondence to Prof. Sumanta Acharya, Mechanical Engineering Department, Louisiana State University, Room 2513A CEBA, Baton Rouge, LA 70803-6413, USA.
   Google Scholar