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Original Articles

STABILIZED FLUX-BASED FLOW / THERMAL FINITE ELEMENT REPRESENTATIONS WITH APPLICATIONS TO CONVECTIVELY COOLED STRUCTURES

Pages 245-263 | Published online: 19 Jan 2011

References

  • A. W. Wilhite, R. W. Powell, S. J. Scotti, C. R. McClinton, S. Z. Pinckney, C. L. Cruz, L. R. Jackson, J. L. Hunt, J. A. Cerro, and P. L. Moses, Concepts Leading to the National Aero-Space Plane Program, AIAA-90-0294, Jan. 1990.
  • J. S. Scotti, Numerical Studies of Convective Cooling for a Locally Heated Skin, NASA TP 3100, 1991.
  • R. J. Nowak, M. S. Holden, and A. R. Wieting, Shock/Shock Interactions in Hypersonic Flow, AIAA-88-0477, Jan. 1988.
  • Hughes , T. J. R. and Brooks , A. 1979 . “ A Multidimensional Upwind Scheme with No Crosswind Diffusion ” . In Finite Element Methods for Convection Dominated Mows, AMD , Edited by: Hughes , T. J. R. Vol. 34 , New York : ASME .
  • C. Johnson, and U. Navert, An Analysis of Some Finite Element Methods for Advection-Diffusion Problems, in Axelsson, Frank, van der Sluis (eds.), Analytical and Numerical Approaches to Asymptotic Problems in Analysis, North-Holland, Amsterdam, 1981.
  • Brooks , A. N. and Hughes , T. J. R. 1982 . Streamline Upwind/Petrov-Galerkin Formulations for Convection Dominated Flows with Particular Emphasis on the Incompressible Navier-Stokes Equations . Camp. Methods Appl. Mech. Engr. , 32 : 199 – 259 .
  • Pepper , D. W. and Singer , A. P. 1990 . Calculation of Convective Flow on the Personal Computer Using a Modified Finite Element Method . Numer. Heat Trans. Pt. A , 17 : 379 – 400 .
  • Fletcher , C. A. J. 1983 . The Group Finite Element Formulation . Comp. Methods Appl. Engr. , 37 : 225 – 243 .
  • Lohner , U.K. , Morgan , K. and Zienkiewicz , O. C. 1984 . The Solution of Non-linear Hyperbolic Equation Systems by the Finite Element Method . Int. J. Numer. Methods Fluids , 4 : 1043 – 1063 .
  • Lohner , R. , Morgan , K. and Zienkiewicz , O. C. 1984 . The Use of Domain Splitting with an Explicit Hyperbolic Solver . Comp. Methods Appl. Mech. Engr. , 45 : 313 – 329 .
  • Gresho , P. M. , Chan , S. T. , Lee , R. L. and Upson , C. D. 1984 . Modified Finite Element Method for Solving the Time-Dependent Incompressible Navier-Stokes Equations, Part 1, Theory . Int. J. Numer. Methods Fluids , 4 : 557 – 598 .
  • K. S. Bey, E. A. Thornton, P. Dechaumpai, and R. Ramakrishnan, A New Finite Element Approach for Prediction of Aerothermal Loads, Proc. 7th AIAA CFD Conference on Progress in Inviscid Flow Computations, Cincinnati, OH, 1985.
  • Tamma , K. K. and Namburu , R. R. 1988 . Explicit Second-Order Accurate Taylor-Galerkin-Based Finite Element Formulations for Linear/Non-linear Transient Thermal Problems . Numer. Heat Trans. , 13
  • Hughes , T. J. R. , Franca , L. P. and Balestra , M. 1986 . A New Finite Element Formulation for Computational Fluid Dynamics: V. Circumventing the Babuska-Brezzi Condition: A Stable Petrov-Galerkin Formulation of the Stokes Problem Accomodating Equal-Order Interpolations . Comput. Methods Appl. Mech. Engrg. , 59 : 85 – 99 .
  • Ghia , U. , Ghia , K. N. and Shin , C. T. 1982 . High-Re Solutions for Incompressible Flow Using the NavierStokes Equation and a Multigrid Method . J. Comp. Phys. , 48 : 387 – 411 .
  • Leone , J. M. and Gresho , P. M. 1981 . Finite Element Simulations of Steady, Two-dimensional, Viscous Incompressible Flow over a Step . J. Comput. Phys. , 41 : 167 – 191 .
  • M. S. Holden, A. R. Wieting, J. R. Moselle, and C. Glass, Studies of Aerothermal Loads Generated in Regions of Shock/Shock Interaction in Hypersonic Flow, AIAA-88-0477, 1988.

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