Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Abarbanel, S. and Gottlieb, D., Higher Order Accuracy Finite Difference Algorithms for Quasi-Linear, Conservation Law Hyperbolic Systems, Math. of Computation, Vol. 27, No. 123, July 1973, pp. 505–523.
Abbett, M. J. (1973), Boundary Condition Calculation Procedures for Inviscid Supersonic Flow Fields, AIAA (1973), pp. 153–172.
AIAA (1973), Proceedings of the AIAA Computational Fluid Dynamics Conference, Palm Springs, California, July 19–20, 1973.
Anderson, D. A. (1974), A Comparison of Numerical Solutions to the Inviscid Equations of Fluid Motion, J. Computational Physics, Vol. 15, No. 1, May 1974, pp. 1–20.
Baker, A. J. (1974), A Finite Element Solution Algorithm for the Navier-Stokes Equations, NASA CR-2391, June 1974.
Baldwin, B. S. and MacCormack, R. W., Numerical Solution of Interaction of Strong Shock Wave with Turbulent Boundary Layer, AIAA Paper No. 74-558.
Baum, E. and Ndefo, E. (1973), A Temporal ADI Computational Technique, AIAA (1973), pp. 133–140.
Benton, E. R. and Platzman, G. W. (1972), A Table of Solutions of the One-Dimensional Burgers Equation, Quarterly of Applied Mathematics, July 1972, pp. 195–212.
Blottner, F. G. and Ellis, M. A. (1973). Finite-Difference Solution of the Incompressible Three-Dimensional Boundary Layer Equations for a Blunt Body, Computers and Fluids, Vol. 1, No. 2, June 1973, pp. 133–158.
Blottner, F. G. (1974), Variable Grid Scheme Applied to Turbulent Boundary Layers, SLA-74-5009, Sandia Laboratories, Albuquerque, N.M. See also Richtmyer (1974).
Bozeman, J. D. and Dalton, C. (1973), Numerical Study of Viscous Flow in a Cavity. J. Computational Physics, Vol. 12 No. 3, July 1973, pp. 348–363.
Brook, D. L. and Boris, J. P. (1973), Flux-Corrected Transport: A Minimum-Error Finite-Difference Technique Designed for Vector Solution of Fluid Equations, AIAA (1973), pp. 182–189.
Bratanow, T., Ecer, A. and Kobiske, M. (1973), Finite-Element Analysis of Unsteady Incompressible Flow around an Oscillating Obstacle of Arbitrary Shape, AIAA Journal, Vol. 22, No. 11, Nov. 1973, pp. 1471–1477.
Bratanow, T. and Ecer, A. (1973), Computational Considerations in Application of the Finite Element Method for Analysis of Unsteady Flow Around Airfoils, AIAA (1973), pp. 109–122. Also AIAA Journal, Vol. 12, No. 4, 1974, pp. 503–510.
Briley, W. R. and McDonald, H. (1973). An Implicit Numerical Method for the Multidimensional Compressible Navier-Stokes Equations, UARL Report M911363-6, United Aircraft Research Laboratories, East Hartford, Conn., Nov. 1973.
Briley, W. R. (1974), Numerical Method for Predicting Three-Dimensional Steady Viscous Flow in Ducts, J. Computational Physics, Vol. 14, No. 1, Jan. 1974
Briley, W. R. and McDonald, H. (1974), Numerical Prediction of Incompressible Separation Bubbles, UARL Report N110887-3, United Aircraft Research Laboratories, East Hartford, Conn., June 1974. See also Richtmyer (1974)., Proc. Fourth International Conference on Numerical Methods in Fluid Dynamics, Boulder, Colo., June 24–28, 1974. To be published by Springer-Verlag.
Buneman, O. (1970), Vortices, the ‘Particles’ of Fluid and Gas Dynamics, in Proc. Fourth Conference on Numerical Simulation of Plasmas, N.R.L., Nov. 2–3, 1970. J. P. Boris and R. A. Shanny, Eds., U.S. Government Printing Office, Stock. No. 0851-00059.
Buneman, O. (1973), Subgrid Resolution of Flow and Force Fields, J. Computational Physics, Vol. 11, pp. 250–268.
Buneman, O. (1974), “Variationally Optimized, Grid-Insensitive Vortex Tracing,” see Richtmyer (1974) Proc. Fourth International Conference on Numerical Methods in Fluid Dynamics, Boulder, Colo., June 24–28, 1974. To be published by Springer-Verlag.
Bushnell, D. M. and Alston, D. W. (1973), Calculation of Transitional Boundary-Layer Flows AIAA Journal, Vol. 11, No. 4, August 1973, pp. 554–556.
Cabannes, H. and Temam, R. (1972) eds., Proceedings of the Third International Conference on Numerical Methods in Fluid Mechanics, Paris, France, July 3–7, 1972, Vols. I and II, Springer-Verlag, New York.
Carter, J. E. (1974), Solutions for Laminar Boundary Layers with Separation and Reattachment, AIAA Paper No. 74-583.
Case, K. M., Dyson, F. J., Frieman, E. A., Grosch, C. E., and Perkins, F. W. (1973), Numerical Simulation of Turbulence, Tech. Report, JSR-73-3, Stanford Research Institute, Menlo Park, California, November 1973.
Cebeci, T. (1974), Calculation of Three-Dimensional Boundary Layers. I. Swept Infinite Cylinders and Small Cross Flow, AIAA Journal, Vol. 12, No. 6, June 1974, pp. 779–786.
Chan, R. (1974A), A Discretized Solution for the Solitary Wave, to appear in J. Computational Physics, Sept. 1974.
Chan, R. (1974B), Generalized Arbitrary Lagrangian-Eulerian Method, to appear in J. Computational Physics.
Chi, D. N. H. and Perlee, H. E. (1974), Mathematical Study of a Propagating Flame and its Induced Aerodynamics in a Coal Mine Passageway, RI 7908, U.S. Bureau of Mines, Pittsburg, Pa.
Chen, J. H. (1973), Numerical Boundary Conditions and Computational Modes, J. Computational Physics, Vol. 13, pp. 522–535.
Cheng, S. I. and Chen, J. H. (1972), Finite Difference Treatment of Strong Shock Over a Sharp Leading Edge with Navier-Stokes Equations,see Cabannes and Teman. (1972), pp. 92–99, Vol. 2.
Chorin, A. J. (1972), A Vortex Method for the Study of Rapid Flow,see Cabannes and Teman. (1972), pp. 100–103.
Chorin, A.J. (1973), Numerical Study of Slightly Viscous Flow, J. Fluid Mechanics, Vol. 57, Part 4, pp. 785–796.
Chorin, A. J. and Bernard, P. S. (1973), Discretization of a Vortex Sheet, with an Example of Roll-Up, J. Computational Physics, Vol. 13, pp. 423–429.
Chu, C. W. and Powers, S. A. (1972), The Calculation of Three-Dimensional Supersonic Flows Around Spherically-Capped Smooth Bodies and Wings, AFFDL-TR-72-91, Vol. 1, W-PAFB, Ohio, September 1972.
Chu, C. W. (1972), A New Algorithm for Three-Dimensional Method of Characteristics, AIAA Journal, Vol. 10, No. 11, November 1972, pp. 1548–1550.
Cline, M. C. and Hoffman, J. D. (1972), Comparison of Characteristic Schemes for Three-Dimensional, Steady, Isentropic Flow, AIAA Journal, Vol. 10, No. 11, November 1972, pp. 1452–1458.
Dalrymple, R. A. (1973), Water Wave Models and Wave Forces with Shear Currents, TR No. 20, College of Engineering, Univ. of Florida, Gainesville, Fla., August 1973.
Deville, M. O. (1974), Numerical Experiments on the MAC Code For a Slow Flow, J. Computational Physics, Vol. 15, No. 3, July 1974, pp. 362–374.
Dupont, T., Fairweather, G., and Johnson, J. P. (1974), Three-Level Galerkin Methods for Parabolic Equations, SIAM J. Numerical Analysis, Vol. 11, No. 2, p. 392. April 1974.
Dwyer, H. A. (1973), Calculation of Unsteady and Three-Dimensional Boundary Layer Flows, AIAA Journal, Vol. 11, No. 6, June 1973, pp. 773–774.
Eaton, R. P. and Larson, D. E., (1974), Laminar and Turbulent Viscous Shock-Layer Flow in the Symmetry Plane of Bodies at Angle of Attack, AIAA Paper No. 74-599.
Elvius, T. and Sundstrom, A. (1973), Computationally Efficient Schemes and Boundary Conditions for a Fine-Mesh Barotropic Model Based on the Shallow-Water Equations, Tellus, Vol. 25, No. 2, 1973, pp. 132–156.
Emmons, H. (1970), Critique of Numerical Modeling of Fluid-Mechanics Phenomena, Annual Review of Fluid Mechanics, Vol. 2, 1970, pp. 15–36.
Fasel, H. (1974), Numerical Solution of the Unsteady Naview-Stokes Equations for the Investigation of Laminar Boundary Layer Stability, see RichtmyerProc. Fourth International Conference on Numerical Methods in Fluid Dynamics, Boulder, Colo., June 24–28, 1974. To be published by Springer-Verlag (1974).
Fox, D. G. and Orszag, S. A. (1973), Pseudospectral Approximation to Two-Dimensional Turbulence, J. Computational Physics, Vol. 11, pp. 612–619.
Ganz, A. A. and Serra, R. A. (1974), Boundary Conditions and Uniqueness in Internal Gas Dynamic Flows, AIAA Journal, Vol. 12, No. 3, March 1974, pp. 263–264.
Gazdag, J. (1973), Numerical Convective Schemes Based on Accurate Computation of Space Derivatives, J. Computational Physics, Vol. 13, No. 1, Sept. 1973, pp. 100–113.
Gazdag, J. and Canosa, J. (1973), Numerical Solution of Fisher’s Equation, IBM T.R. No. 320-3309, IBM Palo Alto, California, Jan. 1973.
Gazdag, J. and Danosa, J. (1974), The Korteweg-de Vries-Burgers Equation, IBM T.R. No. G320-3321, IBM Palo Alto, California, Jan. 1974.
Ghia, K. N. and Davis, R. T. (1974), Corner Layer Flow: Optimization of Numerical Method of Solution, Computers and Fluids, Vol. 2, No. 1, March 1974, pp. 17–34.
Ghia, K. (1974), Streamwise Flow Along an Unbounded Corner, AIAA Paper No. 74-559.
Girault, V. (1974), Theory of a Finite Difference Method on Irregular Networks, SIAM J. Numerical Analysis, Vol. 11, No. 2, April 1974, pp. 260–282.
Gottlieb, D. and Turkel, E. (1974), Phase Errors and Stability of Second Order Methods for Hyperbolic Problems. II, J. Computational Physics, Vol. 15, No. 2, June 1974, pp. 251–265.
Gough, D. O., Spiegel, E. A., and Toomre, J. (1974), Highly Stretched Meshes as Functionals of Solutions, see RichtmyerProc. Fourth International Conference on Numerical Methods in Fluid Dynamics, Boulder, Colo., June 24–28, 1974. To be published by Springer-Verlag. (1974).
Graves, R. (1973), Partial Implicitization, J. Computational Physics, Vol. 13, No. 3, Nov. 1973, pp. 439–444.
Hamed, A. and Tabakoff, W., A Numerical Method for the Solution of Particulate Flow Equations, AIAA Paper No. 74-561.
Harten, A. and Zwas, G. (1972), Self-Adjusting Hybrid Schemes for Shock Computations, J. Computational Physics, Vol. 9, pp. 568–583.
Jameson, A. (1973), Numerical Calculation of Three-Dimensional Transonic Flow Over a Yawed Wing, AIAA (1973), pp. 18–26.
Jeppson, R. W. (1972), Inverse Solution of Three Dimensional Potential Flows, ASCE J. Engineering Mechanics, Vol. 98, No. EM4, pp. 789–812.
Jones, D. J., South, J. D., Jr., and Klunker, E. B. (1972), On the Numerical Solution of Elliptic Partial Differential Equations by the Method of Lines, J. Computational Physics, Vol. 9, No. 3, June 1972, pp. 496–527.
Kee, R. J. (1974), A Numerical Study of Natural Convection Inside a Horizontal Cylinder with Asymmetric Boundary Conditions, SLL-74-0242, Sandia Laboratories, Livermore, Calif., July 1974.
Keller, H. B. (1974), Computational Problems in Boundary Layer Theory, see Richtmyer Proc. Fourth International Conference on Numerical Methods in Fluid Dynamics, Boulder, Colo., June 24–28, 1974. To be published by Springer-Verlag. (1974).
Krause, E., Hirschel, E. H., and Kordulla, W. (1973), Fourth Order ‘Mehrstrellen’-Integration for Three-Dimensional Turbulent Boundary Layers, AIAA (1973), pp. 92–102.
Kreiss, H. and Oliger, J. (1972), Comparison of Accurate Methods for the Integration of Hyperbolic Equations. Tellus, Vol. 24, No. 3, 1972, pp. 199–215.
Kreiss, H. and Oliger, J. (1973), Methods for the Approximate Solution of Time Dependent Problems, GARP Publication Series No. 10, World Meteorological Organization, Feb. 1973, (Available from UNIPUB, Inc., P. O. Box 433, New York, N.Y. 10016)
Kutler, P., Reinhardt, W. A., and Warming, R. F. (1973), Multishocked, Three-Dimensional Supersonic Flowfields with Real Gas Effects, AIAA Journal, Vol. 11, No. 5, May 1973, pp. 657–664.
Lambiotte, J. J. and Howser, L. M. (1974), Vectorization on the Star Computer of Several Numerical Methods for a Fluid Flow Problem, NASA TN D-7545, July 1974.
Leal, L. G. (1973), Steady Separated Flow in a Linearly Decelerated Free Stream, J. Fluid Mechanics, Vol. 59, Part 3, pp. 513–535.
Leonard, A. (1974), Numerical Simulation of Interacting, Three-Dimensional Vortex Filaments, see Richtmyer Proc. Fourth International Conference on Numerical Methods in Fluid Dynamics, Boulder, Colo., June 24–28, 1974. To be published by Springer-Verlag. (1974).
Lerat, A. and Peyret, R. (1974A), Noncentered Schemes and Shock Propagation Problems, Computers and Fluids, Vol. 2, pp. 35–52.
Lerat, A. and Peyret, R. (1974B), The Problem of Spurious Oscillations in the Numerical Solution of the Equations of Gas Dynamics, see Richtmyer Proc. Fourth International Conference on Numerical Methods in Fluid Dynamics, Boulder, Colo., June 24–28, 1974. To be published by Springer-Verlag. (1974).
Lin, T. C. and Rubin, S. G. (1973), Viscous Flow Over Spinning Cones at Angle of Attack, see AIAA (1973) Proceedings of the AIAA Computational Fluid Dynamics Conference, Palm Springs, California, July 19–20 1973, pp. 51–62. Also, AIAA Journal, Vol. 12, No. 7, July 1974, pp. 975–984.
Lomax, H. and Martin, E. D. (1974), Fast Direct Numerical Solution of the Nonhomogeneous Cauchy-Riemann Equations, J. Computational Physics, Vol. 15, No. 1, May 1974, pp. 55–80.
Marconi, F. and Salas, M. (1973), Computation of Three-Dimensional Flows About Aircraft Configurations, Computers and Fluids, Vol. 1 No. 2, June 1973, pp. 185–196.
Martin, E. D. and Lomax, H. (1974), Rapid Finite-Difference Computation of Subsonic and Transonic Aerodynamic Flows, AIAA Paper No. 74-11.
Martin, E. D. (1974), A Generalized-Capacity-Matrix Technique for Computing Aerodynamic Flows, Computers and Fluids, Vol. 2, pp. 79–97.
Mehta, U. B. and Lavan, Z. (1973), Starting Vortex, Separation Bubbles, and Stall—A Numerical Study of Laminar Unsteady Flow Around an Airfoil, AFOSR-TR-73-0640 (AD 758831). Also, to appear in J. Fluid Mechanics.
Melloer, G. L. and Herring, H. J. (1973), A Survey of the Mean Turbulent Field Closure Models, AIAA Journal, Vol. 11, No. 5, May 1973, pp. 590–599.
Mesinger, F. (1973), A Method for Construction of Second-Order Accuracy Difference Schemes Permitting No False Two-Grid-Interval Wave in the Height Field, Tellus, Vol. 25, No. 5, pp. 444–457.
Milton, J. L. and Goss, W. P. (1973), Stability Criteria for Explicit Finite Difference Solutions of the Parabolic Diffusion Equation with Non-Linear Boundary Conditions, Intl. J. Numerical Methods in Engineering, Vol. 7, pp. 57–67.
Moretti, G. and Pandolfi, M. (1973), Entropy Layers, Computers and Fluids, Vol. 1, pp. 19–35.
Moretti, G. (1974), Three-Dimensional, Supersonic, Steady Flows with Any Number of Imbedded Shocks, AIAA Paper No. 74-10. See also Richtmyer Proc. Fourth International Conference on Numerical Methods in Fluid Dynamics, Boulder, Colo., June 24–28, 1974. To be published by Springer-Verlag. (1974).
Morihara, H. and Cheng, R. T. (1973), Numerical Solution of the Viscous Flow in the Entrance Region of Parallel Plates, J. Computational Physics, Vol. 11, pp. 550–572.
Morton, K. W. (1971), Stability and Convergence in Fluid Flow Problems, Proc. Royal Society of London, A. 323, pp. 237–253.
Mueller, T. J. (1974), Numerical and Physical Experiments in Viscous Separated Flows, von Karman Institute for Fluid Dynamics, Lecture Series 63, Feb. 1974, to be published by Springer-Verlag.
Murman, E. M. (1973), Analysis of Embedded Shock Waves Calculated by Relaxation Methods, see AIAA (1973) Proceedings of the AIAA Computational Fluid Dynamics Conference, Palm Springs, California, July 19–20, 1973. pp. 27–40.
Nieuwstadt, F. and Keller, H. B. (1973), Viscous Flow Past Circular Cylinders, Computers and Fluids, Vol. 1, pp. 59–71.
O’Brien, J. J. and Hurlburt, H. E. (1972), A Numerical Model of Coastal Upwelling, J. Physical Oceanography, Vol. 2, Jan. 1972, pp. 14–26.
Oden, J. T., and Wellford, L. C. Jr. (1972), Analysis of Flow of Viscous Fluids by the Finite-Element Method, AIAA Journal, Vol. 10, No. 12, Dec. 1972, pp. 1590–1599.
Orszag, S. A. and Jayne, L. W. (1974), Local Errors of Difference Approximations to Hyperbolic Equations, J. Computational Physics, Vol. 14, No. 1, Jan. 1974, pp. 93–103.
Orszag, S. A. and Israeli, M. (1974), Numerical Simulation of Viscous Incompressible Flows, in Annual Review of Fluid Mechanics, Vol. 6, Annual Reviews, Inc., Palo Alto, Calif.
Orszag, S. A. and Israeli, M. (1974B), to be published.
Paasonen, V. I., Shokin, Yu. I., and Yanenko, N. N. (1974), On Some Questions in the Theory of Difference Schemes for Equations of Gas Dynamics, see Richtmyer (1974) Proc. Fourth International Conference on Numerical Methods in Fluid Dynamics, Boulder, Colo., June 24–28, 1974. To be published by Springer-Verlag.
Patankar, S. V. and Spalding, D. B. (1972), A Calculation Procedure for Three-Dimensional Parabolic Flows, Intl. J. Heat and Mass Transfer, Vol. 15, pg. 1787. See also Richtmyer (1974). Proc. Fourth International Conference on Numerical Methods in Fluid Dynamics, Boulder, Colo., June 24–28, 1974. To be published by Springer-Verlag.
Perko, L. M. (1969), Large Amplitude Motions of a Liquid-Vapor Interface in an Accelerating Container, J. Fluid Mechanics, Vol. 35, No. 1, pp. 77–96.
Ransom, V. H., Hoffman, J. D., Thompson, H. D. (1972), A Second-Order Bicharacteristics Method for Three-Dimensional, Steady, Supersonic Flow, AIAA Journal, Vol. 10, No. 12, Dec. 1972, pp. 1573–1581.
Reynolds, W. C. (1974), Computation of Turbulent Flows, AIAA Paper No. 74-556.
Richtmyer, R. D. (1974), ed., Proc. Fourth International Conference on Numerical Methods in Fluid Dynamics, Boulder, Colo., June 24–28, 1974. To be published by Springer-Verlag.
Rivard, W. C., Farmer, O. A., Butler, T. D., and O’Rourke, P. J. (1973), A Method for Increased Accuracy in Eulerian Fluid Dynamics Calculations, LASL-5426-MS, Los Alamos, NM, Oct. 1973. See also Richtmyer Proc. Fourth International Conference on Numerical Methods in Fluid Dynamics, Boulder, Colo., June 24–28, 1974. To be published by Springer-Verlag. (1974).
Roache, P. J. (1972), Computational Fluid Dynamics, Hermosa Publishers, P. O. Box 8172, Albuquerque, New Mexico 87108.
Roache, P. J. (1972B), Finite Difference Methods for the Steady-State Navier-Stokes Equations, in Lecture Notes in Physics, Vol. 18, Springer-Verlag, 1973, See Cabannes and Teman (1972), Proceedings of the Third International Conference on Numerical Methods in Fluid Mechanics, Paris, France, July 3–7, 1972, Springer-Verlag, New York pp. 138–145.
Roache, P. J. (1974), The LAD, NOS and Split NOS Methods for the Steady-State Navier-Stokes Equations, to appear in Computers and Fluids. See also Richtmyer (1974) Proc. Fourth International Conference on Numerical Methods in Fluid Dynamics, Boulder, Colo., June 24–28, 1974. To be published by Springer-Verlag.
Roache, P. J. and Ellis, M. A. (1974), The BID Method for the Steady-State Navier-Stokes Equations, submitted for publication to Computers and Fluids. See also Richtmyer (1974). Proc. Fourth International Conference on Numerical Methods in Fluid Dynamics, Boulder, Colo., June 24–28, 1974. To be published by Springer-Verlag.
Saffman, P. G. and Wilcox, D. C. (1974), Turbulence-Model Predictions for Turbulent Boundary Layers, AIAA Journal, Vol. 12, No. 4, April 1974, pp. 541–546.
Sedin, Y. C-J. (1974), Axisymmetric Sonic Flow Computed by a Numerical Method Applied to Slender Bodies, AIAA Paper No. 74-544.
Shang, J. S., Hankey, W. L., Jr., and Dwoyer, D. L. (1973), Numerical Analysis of Eddy Viscosity Models in Supersonic Turbulent Boundary Layers, AIAA Journal, Vol. 11, No. 12, Dec. 1973, pp. 1677–1683.
Singleton, R. E. and Nash, J. F. (1973), A Method for Calculating Unsteady Turbulent Boundary Layers in Two-and Three-Dimensional Flows, see AIAA (1973), Proceedings of the AIAA Computational Fluid Dynamics Conference, Palm Springs, California, July, 19–20, 1973. pp. 84–91.
Sood, D. R. and Elrod, H. (1974), Numerical Solution of the Incompressible Navier-Stokes Equations in Doubly-Connected Regions, AIAA Journal, Vol. 12, No. 5, May 1974, pp. 636–641.
South, J. C. Jr and Jameson, A., Relaxation Solutions for Inviscid Axisymmetric Transonic Flow Over Blunt or Pointed Bodies, AIAA (1973), pp. 8–17.
Steinberg, H. L. (1973), Numerical Simulation of Quasi-Geostrophic Turbulence, Tellus, Vol. 25, No. 3, pp. 233–246.
Strang, G. and Fix, G. J. (1973), An Analysis of the Finite Element Method, Prentice-Hall, Englewood Cliffs, N. J.
Swartz, B. K. and Wendroff, B. (1974A), The Comparative Efficiency of Certain Finite Element and Finite Difference Schemes for a Hyperbolic Problem, in Conference on the Numerical Solution of Differential Equations, G. A. Watson, ed., Lecture Notes in Physics, Vol. 363, Springer-Verlag, N. Y., pp. 153–163.
Swartz, B. K. and Wendroff, B. (1974B), The Relative Efficiency of Finite Difference and Finite Element Methods I. Hyperbolic Problems and Splines, to appear in SIAM J. Numerical Analysis, Vol. 11.
Swartz, B. (1974), The Construction and Comparison of Finite Difference Analogs of Some Finite Element Schemes, LA-UR-74-771, Los Alamos, N. M.
Taylor, C. and Hood, P. (1973), A Numerical Solution of the Navier-Stokes Equations Using the Finite Element Technique, Computers and Fluids, Vol. 1, pp. 73–100.
Taylor, T. D. (1973), Numerical Methods for Predicting Subsonic, Transonic and Supersonic Flow, AGARDograph No. 187, Available from NASA-Langley, Report Distribution and Storage Unit, Langley Field, Va. 23365.
Taylor, T. D. (1973B), An Evaluation of Cell Type Finite Difference Methods for Solving Viscous Flow Problems, Computers and Fluids, Vol. 1, No. 1, pp. 3–18.
Thoman, D. and Szewczyk, A. A. (1969), Time-Dependent Viscous Flow over a Circular Cylinder, The Physics of Fluids Supplement II, pp. 76–87.
Thomspon, J. F., Shanks, S. P., and Wu, J. C. (1974), Numerical Solution of Three-Dimensional Navier-Stokes Equations Showing Tip Vortices, AIAA Journal, Vol. 12, No. 6, June 1974, pp. 787–793.
Thompson, J. F., Thames, F. C., and Mastin, C. W. (1974), Automatic Numerical Generation of Body-Fitted Curvilinear Coordinate System for Field Containing Any Number of Arbitrary Two-Dimensional Bodies, J. Computational Physics, Vol. 15, No. 3, July 1974, pp. 299–319.
Thomson, J. A. L. and Meng, J. C. S. (1974), Studies of Free Buoyant and Shear Flows by the Vortex-in-Cell Method, see Richtmyer (1974) Proc. Fourth International Conference on Numerical Methods in Fluid Dynamics, Boulder, Colo., June 24–28, 1974. To be published by Springer-Verlag.
Turkel, E. (1974), Phase Error and Stability of Second Order Methods for Hyperbolic Problems. I., J. Computational Physics, Vol. 15, No. 2, June 1974, pp. 226–250.
Vander Werff, T. J. (1973), Periodic Method of Characteristics, J. Computational Physics, Vol. 11, pp. 296–305.
van Leer, B. (1974), Towards the Ultimate Conservative Difference Scheme. II. Monotonicity and Conservation Combined in a Second-Order Scheme, J. Computational Physics, Vol. 14, No. 4, April 1974, pp. 361–370.
Walkden, F., Laws, G. T., and Caine, P. (1973), A New Shock Capturing Numerical Method with Application to Some Simple Supersonic Flow Fields, see AIAA (1973), Proceedings of the AIAA Computational Fluid Dynamics Conference, Palm Springs, California, July 19–20, 1973. pp. 173–181, See also AIAA Journal, Vol. 12, No. 5, May 1974, pp. 642–647.
Warming, R. G., Kutler, P., and Lomax, H. (1973), Second-and Third-Order Noncentered Difference Schemes for Nonlinear Hyperbolic Equations, AIAA Journal, Vol. 11, No. 2, Feb. 1973, pp. 189–196.
Warming, R. F. and Hyett, B. J. (1974), The Modified Equation Approach to the Stability and Accuracy Analysis of Finite-Difference Methods, J. Computational Physics, Vol. 14, No. 2, Feb. 1974, pp. 159–179.
Watkins, C. B. Jr. (1973), Numerical Soluton of the Three-Dimensional Boundary Layer on a Spinning Sharp Body at Angle of Attak, Computers and Fluids, Vol. 1, pp. 317–329.
Wu, J. C. and Thompson, J. F. (1973). Numerical Solutions of the Time-Dependent Incompressible Navier-Stokes Equations Using an Integro-Differential Formulation, Computers and Fluids, Vol. 1, No. 2, June 1973, pp. 197–216.
Wu. J. C. (1974), A Flowfield Segmentation Method for the Numerical Solution of Viscous Flow Problems, see Richtmyer (1974) Proc. Fourth International Conference on Numerical Methods in Fluid Dynamics, Boulder, Colo., June 24–28, 1974. To be published by Springer-Verlag.
Young, J. A. and Hirt, C. W. (1972), Numerical Calculation of Internal Wave Motions, J. Fluid Mechanics, Vol. 56, Part 2, pp. 265–276.
Editor information
Rights and permissions
Copyright information
© 1975 Springer-Verlag
About this paper
Cite this paper
Roache, P.J. (1975). Recent developments and problem areas in computational fluid dynamics. In: Oden, J.T. (eds) Computational Mechanics. Lecture Notes in Mathematics, vol 461. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074155
Download citation
DOI: https://doi.org/10.1007/BFb0074155
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-07169-3
Online ISBN: 978-3-540-37503-6
eBook Packages: Springer Book Archive