28.01.2013 Views

Zienkiewicz O.C., Taylor R.L. Vol. 3. The finite - tiera.ru

Zienkiewicz O.C., Taylor R.L. Vol. 3. The finite - tiera.ru

Zienkiewicz O.C., Taylor R.L. Vol. 3. The finite - tiera.ru

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

44. A. Lapidus. A detached shock calculation by second order ®nite di€erences. J. Comp.<br />

Phys., 2, 154±77, 1967.<br />

45. J.L. Steger. Implicit ®nite di€erence simulation of ¯ow about two dimensional geometries.<br />

AIAA J., 16, 679±86, 1978.<br />

46. R.W. MacCormack and B.S. Baldwin. A numerical method for solving the Navier±Stokes<br />

equations with application to shock boundary layer interaction. AIAA paper 75-1, 1975.<br />

47. A. Jameson and W. Schmidt. Some recent developments in numerical methods in transonic<br />

¯ows. Comp. Meth. Appl. Mech. Eng., 51, 467±93, 1985.<br />

48. K. Morgan, J. Peraire, J. Peiro and O.C. <strong>Zienkiewicz</strong>. Adaptive remeshing applied to the<br />

solution of a shock interaction problem on a cylindrical leading edge, in P. Stow (Ed.),<br />

Computational Methods in Aeronautical Fluid Dynamics, Clarenden Press, Oxford, 1990,<br />

pp. 327±44.<br />

49. R. Codina. A discontinuity capturing crosswind dissipation for the ®nite element solution<br />

of the convection di€usion equation. Comp. Meth. Appl. Mech. Eng., 110, 325±42,<br />

199<strong>3.</strong><br />

50. T.J.R. Hughes and M. Malett. A new ®nite element formulation for ¯uid dynamics IV: A<br />

discontinuity capturing operator for multidimensional advective±di€usive problems.<br />

Comp. Mech. Appl. Mech. Eng., 58, 329±36, 1986.<br />

51. C. Johnson and A. Szepessy. On convergence of a ®nite element method for a nonlinear<br />

hyperbolic conservation law. Math. Comput., 49, 427±44, 1987.<br />

52. A.C. GaleaÄ o and E.G. Dutra Do Carmo. A consistent approximate upwind Petrov±<br />

Galerkin method for convection dominate problems. Comp. Meth. Appl. Mech. Eng., 68,<br />

83±95, 1988.<br />

5<strong>3.</strong> P. Hansbo and C. Johnson. Adaptive streamline di€usion methods for compressible ¯ow<br />

using conservation variables. Comp. Meth. Appl. Mech. Eng., 87, 267±80, 1991.<br />

54. F. Shakib, T.J.R. Hughes and Z. Johan. A new ®nite element formulation for computational<br />

¯uid dynamics X. <strong>The</strong> compressible Euler and Navier±Stokes equations. Comp.<br />

Mech. Appl. Mech. Eng., 89, 141±219, 1991.<br />

55. P. Nithiarasu, O.C. <strong>Zienkiewicz</strong>, B.V.K.S. Sai, K. Morgan, R. Codina and M. Va zquez.<br />

Shock capturing viscosities for the general algorithm. 10th Int. Conf. on Finite Elements<br />

in Fluids, Ed. M. Hafez and J.C. Heinrich, 350±6, Jan 5±8, 1998, Tucson, Arizona,<br />

USA.<br />

56. P. Nithiarasu, O.C. <strong>Zienkiewicz</strong>, B.V.K.S. Sai, K. Morgan, R. Codina and M. Va zquez.<br />

Shock capturing viscosities for the general ¯uid mechanics algorithm. Int. J. Num. Meth.<br />

Fluids, 28, 1325±53, 1998.<br />

57. G. Sod. A survey of several ®nite di€erence methods for systems of non-linear hyperbolic<br />

conservation laws. J. Comp. Phys., 27, 1±31, 1978.<br />

58. T.E. Tezduyar and T.J.R. Hughes. Development of time accurate ®nite element techniques<br />

for ®rst order hyperbolic systems with particular emphasis on Euler equation. Stanford<br />

University paper, 198<strong>3.</strong><br />

59. P. Woodward and P. Colella. <strong>The</strong> numerical simulation of two dimensional ¯ow with<br />

strong shocks. J. Comp. Phys., 54, 115±73, 1984.<br />

60. O.C. <strong>Zienkiewicz</strong> and J.Z. Zhu. A simple error estimator and adaptive procedure for practical<br />

engineering analysis. Int. J. Num. Meth. Eng., 24, 337±57, 1987.<br />

61. J.T. Oden and L. Demkowicz. Advance in adaptive improvements: a survey of adaptive<br />

methods in computational ¯uid mechanics, in State of the Art Survey in Computational<br />

Fluid Mechanics (eds A.K. Noor and J.T. Oden), American Society of Mechanical Engineers,<br />

1988.<br />

62. M.T. Manzari, P.R.M. Lyra, K. Morgan and J. Peraire. An unst<strong>ru</strong>ctured grid FEM/MUSCL<br />

algorithm for the compressible Euler equations. Proc. VIII Int. Conf. on Finite Elements in<br />

Fluids: New Trends and Applications, Swansea 1993, pp. 379±88, Pineridge Press.<br />

References 215

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!