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Navier-Stokes equations

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• Differential equations, Partial
• Fluid dynamics
• Viscous flow

• Navier-Stokes equations -- Data processing
• Navier-Stokes equations -- Numerical solutions
• Burgers equation

• Equations, Navier-Stokes

• Marangoni convection in a gravity-free silicon float zone (Carderock Division, Naval Surface Warfare Center, 1994), by Samuel Ohring, Hans J. Lugt, and Naval Surface Warfare Center (U.S.). Carderock Division (page images at HathiTrust)
• An integral equation formulation of the equations of motion of an incompressible fluid (Naval Undersea Warfare Center Division, 1992), by J. S. Uhlman (page images at HathiTrust; US access only)
• Accuracy of least-squares methods for the Navier-Stokes equations (National Aeronautics and Space Administration, Lewis Research Center, Institute for Computational Mechanics in Propulsion, 1993), by Pavel B. Bochev, Max D. Gunzburger, and Lewis Research Center. Institute for Computational Mechanics in Propulsion (page images at HathiTrust)
• Investigation of convection and pressure treatment with splitting techniques (National Aeronautics and Space Administration, Lewis Research Center, Institute for Computational Mechanics in Propulsion, 1995), by Siddharth Singh Thakur, Meng-Sing Liou, W. Shyy, and Lewis Research Center. Institute for Computational Mechanics in Propulsion (page images at HathiTrust)
• Development of an explicit multiblock/multigrid flow solver for viscous flows in complex geometries (National Aeronautics and Space Administration ;, 1993), by Erlendur Steinthorsson, M. S. Liou, Louis A. Povinelli, and United States National Aeronautics and Space Administration (page images at HathiTrust)
• Multigrid time-accurate integration of Navier-Stokes equations (National Aeronautics and Space Administration ;, 1993), by Andrea Arnone, Louis A. Povinelli, Meng-Sing Liou, and United States National Aeronautics and Space Administration (page images at HathiTrust)
• Boundary conditions and the simulation of low Mach number flows (National Aeronautics and Space Administration ;, 1993), by Thomas Hagstrom, Jens Lorenz, and United States National Aeronautics and Space Administration (page images at HathiTrust)
• On solving the compressible Navier-Stokes equations for unsteady flows at very low Mach numbers (National Aeronautics and Space Administration ;, 1993), by R. H. Pletcher, K.-H. Chen, and United States National Aeronautics and Space Administration (page images at HathiTrust)
• Numerical simulations of drop collisions (National Aeronautics and Space Administration, Langley Research Center, 1994), by M. R. H. Nobari, Gretar Tryggvason, and United States National Aeronautics and Space Administration (page images at HathiTrust)
• Discrete sensitivity derivatives of the Navier-Stokes equations with a parallel Krylov solver (National Aeronautics and Space Administration ;, 1994), by Kumud Ajmani, Arthur C. Taylor, and United States National Aeronautics and Space Administration (page images at HathiTrust)
• Relative efficiency and accuracy of two Navier-Stokes codes for simulating attached transonic flow over wings (National Aeronautics and Space Administration, Office of Management, Scientific and Technical Information Division ;, 1991), by Daryl L. Bonhaus, Stephen F. Wornom, and Langley Research Center (page images at HathiTrust)
• Velocity-split Navier-Stokes solution procedure for imcompressible high Reynolds number external flows (National Aeronautics and Space Administration, Scientific and Technical Information Office ;, 1980), by Douglas L. Dwoyer, Langley Research Center, and United States. National Aeronautics and Space Administration. Scientific and Technical Information Office (page images at HathiTrust)
• Preconditioned conjugate-gradient methods for low-speed flow calculations (National Aeronautics and Space Administration ;, 1993), by Kumud Ajmani, Wing-Fai Ng, Meng-Sing Liou, and United States National Aeronautics and Space Administration (page images at HathiTrust)
• Slip-boundary equations for multicomponent nonequilibrium airflow (National Aeronautics and Space Administration, Scientific and Technical Information Branch ;, 1985), by Roop N. Gupta, James N. Moss, Carl D. Scott, and Langley Research Center (page images at HathiTrust)
• A generalized orthogonal coordinate system for describing families of axisymmetric and two-dimensional bodies (National Aeronautics and Space Administration ;, 1977), by Peter A. Gnoffo and United States National Aeronautics and Space Administration (page images at HathiTrust)
• Numerical simulation of steady supersonic viscous flow (National Aeronautics and Space Administration, Scientific and Technical Information Branch ;, 1981), by Lewis B. Schiff, Joseph L. Steger, United States. National Aeronautics and Space Administration. Scientific and Technical Information Branch, and Ames Research Center (page images at HathiTrust)
• A numerical solution of the Navier-Stokes equations for chemically nonequilibrium, merged stagnation shock layers on spheres and two-dimensional cylinders in air (National Aeronautics and Space Administration, Scientific and Technical Information Office ;, 1978), by Kenneth D. Johnston and William L. Hendricks (page images at HathiTrust)
• Some observations on a new numerical method for solving the Navier-Stokes equations (National Aeronautics and Space Administration, Scientific and Technical Information Branch ;, 1981), by Ajay Kumar, Langley Research Center, and United States. National Aeronautics and Space Administration. Scientific and Technical Information Branch (page images at HathiTrust)
• Conditions at the downstream boundary for simulations of viscous incompressible flow (National Aeronautics and Space Administration ;, 1990), by Thomas Hagstrom and United States National Aeronautics and Space Administration (page images at HathiTrust)
• Navier-Stokes simulation of the supersonic combustion flowfield in a ram accelerator (National Aeronautics and Space Administration ;, 1991), by Shaye Yungster and United States National Aeronautics and Space Administration (page images at HathiTrust)
• Least-squares solution of incompressible Navier-Stokes equations with the P-version of finite elements (National Aeronautics and Space Administration ;, 1991), by Bo-nan Jiang, Vijay Sonnad, and United States National Aeronautics and Space Administration (page images at HathiTrust)
• Hopf bifurcation in the driven cavity (National Aeronautics and Space Administration, Lewis Research Center, Institute for Computational Mechanics in Propulsion, 1989), by John W. Goodrich, Kadosa Halasi, Karl E. Gustafson, and Lewis Research Center. Institute for Computational Mechanics in Propulsion (page images at HathiTrust)
• Two-dimensional Euler and Navier Stokes time accurate simulations of fan rotor flows (NASA Lewis Research Center, Institute for Computational Mechanics in Propulsion ;, 1990), by A. A. Boretti and Lewis Research Center. Institute for Computational Mechanics in Propulsion (page images at HathiTrust)
• Navier-Stokes and Euler solutions for lee-side flows over supersonic delta wings : a correlation with experiment (National Aeronautics and Space Administration, Office of Management, Scientific and Technical Information Division ;, 1990), by S. Naomi McMillin, Earll M. Murman, James L. Thomas, and Langley Research Center (page images at HathiTrust)
• Calculation of two-dimensional turbulent flow fields (National Aeronautics and Space Administration, 1966), by John G. Trulio (page images at HathiTrust; US access only)
• Boundary-fitted curvilinear coordinate systems for solution of partial differential equations on fields containing any number of arbitrary two-dimensional bodies (National Aeronautics and Space Administration ;, 1978), by Joe F. Thompson, Charles Wayne Mastin, Frank C. Thames, and United States National Aeronautics and Space Administration (page images at HathiTrust)
• Further studies of unsteady boundary layers with flow reversal (U.S. National Aeronautics and Space Administration;, 1976), by John F. Nash, Ames Research Center, and inc Sybucon (page images at HathiTrust)
• Dynamic response of high-frequency pressure transducers to large amplitude sinusoidal pressure oscillations (National Aeronautics and Space Administration ;, 1972), by Richard E. Robinson, Lewis Research Center, and Battelle Memorial Institute (page images at HathiTrust)
• Prediction of compliant wall drag reduction, part II (National Aeronautics and Space Administration, Scientific and Technical Information Office ;, 1979), by Steven A. Orszag, inc Cambridge Hydrodynamics, Langley Research Center, and United States. National Aeronautics and Space Administration. Scientific and Technical Information Office (page images at HathiTrust)
• Hyperbolic/parabolic development for the GIM-STAR code (National Aeronautics and Space Administration, Scientific and Technical Information Branch ;, 1980), by L. W. Spradley, A. W. Ratliff, J. F. Stalnaker, Langley Research Center, and United States. National Aeronautics and Space Administration. Scientific and Technical Information Branch (page images at HathiTrust)
• A rapid implicit-explicit solution to the two-dimensional time-dependent incompressible Navier-Stokes equations (National Aeronautics and Space Administration, Scientific and Technical Information Branch ;, 1980), by Joseph E. Davis, Ames Research Center, and United States. National Aeronautics and Space Administration. Scientific and Technical Information Branch (page images at HathiTrust)
• Computational flow development for unsteady viscous flows : foundation of the numerical method (National Aeronautics and Space Administration, Scientific and Technical Information Office ;, 1978), by Theodore Bratanow, Thomas Spehert, and United States. National Aeronautics and Space Administration. Scientific and Technical Information Office (page images at HathiTrust)
• Equations of motion and two-equation turbulence model for plane or axisymmetric turbulent flows in body-oriented orthogonal curvilinear coordinates and mass-averaged dependent variables (National Aeronautics and Space Administration, Scientific and Technical Information Office ;, 1978), by J. P. Sislian and United States. National Aeronautics and Space Administration. Scientific and Technical Information Office (page images at HathiTrust)
• Development of a three-dimensional turbulent duct flow analysis (National Aeronautics and Space Administration, Scientific and Technical Information Office. ;, 1978), by United States. National Aeronautics and Space Administration. Scientific and Technical Information Office, P. R. Eiseman, Lewis Research Center, and United Technologies Research Center (page images at HathiTrust)
• A Three-dimensional turbulent compressible subsonic duct flow analysis for use with constructed coordinate systems (National Aeronautics and Space Administration, Scientific and Technical Information Branch ;, 1981), by R. Levy, Lewis Research Center, and United States. National Aeronautics and Space Administration. Scientific and Technical Information Branch (page images at HathiTrust)
• Numerical method for predicting flow characteristics and performance of nonaxisymmetric nozzles : theory (National Aeronautics and Space Administration, Scientific and Technical Information Branch ;, 1979), by P. D. Thomas, Langley Research Center, and United States. National Aeronautics and Space Administration. Scientific and Technical Information Branch (page images at HathiTrust)
• Numerical method for predicting flow characteristics and performance of nonaxisymmetric nozzles : part 2 - applications (National Aeronautics and Space Administration, Scientific and Technical Information Branch ;, 1980), by P. D. Thomas, Langley Research Center, and United States. National Aeronautics and Space Administration. Scientific and Technical Information Branch (page images at HathiTrust)
• Simulation of two-dimensional viscous flow through cascades using a semi-elliptic analysis and hybrid C-H grids (National Aeronautics and Space Administration, Scientific and Technical Information Division ;, 1988), by R. Ramamurti, K. N. Ghia, U. Ghia, and Lewis Research Center (page images at HathiTrust)
• NASA TN D-6092 (National Aeronautics and Space Administration :, 1970), by Willard E. Meador, Langley Research Center, and United States National Aeronautics and Space Administration (page images at HathiTrust; US access only)
• Time-asymptotic solutions of the Navier-Stokes equations for free shear flows using an alternating-direction implicit method (National Aeronautics and Space Administration ;, 1976), by David H. Rudy, Dana J. Morris, United States National Aeronautics and Space Administration, and Langley Research Center (page images at HathiTrust)
• NASA TN D-5883 (National Aeronautics and Space Administration :, 1970), by Willard E. Meador, Langley Research Center, and United States National Aeronautics and Space Administration (page images at HathiTrust; US access only)
• NASA TN D-6728 (National Aeronautics and Space Administration :, 1972), by Robert G. Deissler, Lewis Research Center, and United States National Aeronautics and Space Administration (page images at HathiTrust)
• NASA TN D-3779 (National Aeronautics and Space Administration :, 1967), by Robert G. Deissler and United States National Aeronautics and Space Administration (page images at HathiTrust; US access only)
• Viscosity of silicate melts and glasses. (United States Government Printing Office ;, 1987), by Michael P. Ryan, James Y. K. Blevins, and Hawaii Institute of Geophysics (page images at HathiTrust)
• Asymptotic equivalence of the Navier-Stokes and nonlinear Boltzmann equations (Magneto-Fluid Dynamics Division, Courant Institute of Mathematical Sciences, New York University, 1964), by Harold Grad, U.S. Atomic Energy Commission. New York Operations Office, and Courant Institute of Mathematical Sciences (page images at HathiTrust)
• A numerical investigation of a confined vortex problem (Oak Ridge, Tennessee : Computing Technology Center, Union Carbide Corporation Nuclear Division, 1968., 1968), by Robin E. Textor, Union Carbide Corporation. Nuclear Division, and U.S. Atomic Energy Commission (page images at HathiTrust)
• On the convergence of discrete approximations to the Navier-Stokes equations (New York, New York : New York University, Courant Institute of Mathematical Sciences 1968., 1968), by Alexandre Jo©·el Chorin and Courant Institute of Mathematical Sciences (page images at HathiTrust)
• Viscous shock-layer flow in the windward plane of cones at angle of attack (Albuquerque, New Mexico : Sandia Laboratories, 1973., 1973), by R. R. Eaton, P. C. Kaestner, Sandia Corporation, and U.S. Atomic Energy Commission (page images at HathiTrust)
• Invariant measures concerned with Navier-Stokes equations in two variables ([Washington, D.C.] : Air Force Office of Scientific Research, Air Research and Development Command, United States Air Force, 1961., 1960), by G. Prodi and United States. Air Force. Office of Scientific Research (page images at HathiTrust)
• On the Probability measures related to the Navier-Stokes equations in the 3-dimensional case ([Washington, D.C.] : Air Force Office of Scientific Research, United States Air Force, 1961., 1961), by G. Prodi, United States. Air Force. Office of Scientific Research, and Universit©Ła degli studi di Trieste (page images at HathiTrust)
• Research study of Navier-Stokes equations ([Washington, D.C.] : Air Force Office of Scientific Research, United States Air Force, 1961., 1961), by G. Prodi, Universit©Ła degli studi di Trieste, and United States. Air Force. Office of Scientific Research (page images at HathiTrust)
• Calculation of high speed inlet flows using the Navier-Stokes equations. Volume 1, Description of results / Doyle D. Knight. (Wright-Patterson Air Force Base, Ohio : Air Force Flight Dynamics Laboratory, Air Force Systems Command, United States Air Force, 1980., 1980), by Doyle D. Knight, Air Force Flight Dynamics Laboratory (U.S.), and Rutgers University. Department of Mechanical & Aerospace Engineering (page images at HathiTrust)
• Hybrid aerodynamic methods (Wright-Patterson Air Force Base, Ohio : Flight Dynamics Laboratory, Air Force Wright Aeronautical Laboratories, Air Force Systems Command, United States Air Force, 1984., 1984), by Frank A. Dvorak, Donald W. Roberts, Gerald C. Paynter, T. S. Vaidyanathan, James K. Nathman, Brian Maskew, Air Force Wright Aeronautical Laboratories, Air Force Flight Dynamics Laboratory (U.S.), Boeing Military Airplane Company, and Inc Analytical Methods (page images at HathiTrust)
• Exact vorticity solutions of the incompressible Navier-Stokes equations (L.G. Hansom Field, Bedford, Massachusetts : Air Force Cambridge Research Laboratories, Office of Aerospace Research, United States Air Force, 1970., 1970), by Harry E. Moses and Air Force Cambridge Research Laboratories (U.S.) (page images at HathiTrust)
• Introduction to computational aerodynamics (Wright-Patterson Air Force Base, Ohio : Flight Dynamics Laboratory, Air Force Wright Aeronautical Laboratories, Air Force Systems Command, United States Air Force, 1983., 1983), by W. L. Hankey, Air Force Wright Aeronautical Laboratories, and Air Force Flight Dynamics Laboratory (U.S.) (page images at HathiTrust)
• Numerical simulation of flow around a three-dimensional turret (Wright-Patterson Air Force Base, Ohio : Flight Dynamics Laboratory, Air Force Wright Aeronautical Laboratories, Air Force Systems Command, United States Air Force, 1982., 1982), by S. C. Purohit, Air Force Flight Dynamics Laboratory (U.S.), and Air Force Wright Aeronautical Laboratories (page images at HathiTrust)
• Optimal large eddy simulation of turbulence (Arlington, Virginia : Air Force Office of Scientific Research, Air Research and Development Command, United States Air Force, 2004., 2004), by Robert deLancey Moser, R. J. Adrian, S. Balachandar, University of Illinois at Urbana-Champaign. Department of Theoretical and Applied Mechanics, and United States. Air Force. Office of Scientific Research (page images at HathiTrust)
• Nonlinear control of fluid flow (Arlington, Virginia. : Air Force Office of Scientific Research, 2002., 2002), by Panagiotis D. Christofides, Los Angeles. Department of Chemical Engineering University of California, and United States. Air Force. Office of Scientific Research (page images at HathiTrust)
• The compressible viscous layer in rarefied hypersonic flow (Wright-Patterson Air Force Base, Ohio : Aeronautical Research Laboratories, Air Force Research Division, Air Research and Development Command, United States Air Force, 1960., 1960), by Hung-Ta Ho, Ronald F. Probstein, United States. Air Force. Aeronautical Research Laboratories, and Brown University. Division of Engineering (page images at HathiTrust)
• Effect of suction on the wake structure of a three-dimensional turret (Wright-Patterson Air Force Base, Ohio : Flight Dynamics Laboratory, Air Force Wright Aeronautical Laboratories, Air Force Systems Command, United States Air Force, 1983, 1983), by S. C. Purohit, Air Force Wright Aeronautical Laboratories, Air Force Flight Dynamics Laboratory (U.S.), and University of Dayton. Research Institute (page images at HathiTrust)
• Hypersonic maneuvering vehicle simulations using real-aas, unstructured Navier-Stokes software (Arlington, Virginia. : Air Force Office of Scientific Research, 2001., 2001), by William D. McGrory, Inc AeroSoft, and United States. Air Force. Office of Scientific Research (page images at HathiTrust)
• Examination of the solutions of the Navier-Stokes equations for a class of three-dimensional vortices. Part 1, Velocity distributions for steady motion (Washington, D.C. : United States Air Force, Office of Scientific Research, 1960., 1960), by Coleman duP. Donaldson, Roger D. Sullivan, Aeronautical Research Associates of Princeton, and United States. Air Force. Office of Scientific Research (page images at HathiTrust)
• Adaptive Navier Stokes flow solver for aerospace structures (Arlington, Virginia : Air Force Office of Scientific Research, Air Research and Development Command, United States Air Force, 2004., 2004), by Rathinam Panneer Selvam, Zu-Qing Qu, Fayetteville University of Arkansas, and United States. Air Force. Office of Scientific Research (page images at HathiTrust)
• Hybrid techniques in computational fluid dynamics (Bolling Air Force Base, D.C. : Air Force Office of Scientific Research, 1998., 1998), by B. K. Soni, Mississippi State University. Engineering Research Center for Computational Field Simulation, and United States. Air Force. Office of Scientific Research (page images at HathiTrust)
• Simulation, characteriation and control of forced unsteady viscous flows using Navier-Stokes equations (Cincinnati, Ohio: University of Cincinnati, Department of Aerospace Engineering and Engineering Mechanics, 1992., 1992), by K. N. Ghia, Urmila Ghia, University of Cincinnati. Department of Aerospace Engineering and Engineering Mechanics, and United States. Air Force. Office of Scientific Research (page images at HathiTrust)
• An efficient numerical method for three-dimensional hypersonic flow (Wright-Patterson Air Force Base, Ohio : Fliight Dynamics Directorate, Wright Laboratory, Air Force Materiel Command, 1993., 1993), by R. W. MacCormack, Ohio) Wright Laboratory (Wright-Patterson Air Force Base, and Stanford University. Department of Aeronautics and Astronautics (page images at HathiTrust)
• 3-D composite velocity solutions for subsonic/transonic flow over forebodies and afterbodies (Wright-Patterson Air Force Base, Ohio : Flight Dynamics Laboratory, Wright Research Development Center, Air Force Systems Command, United States Air Force, 1989., 1989), by Raymond E. Gordnier, Inc Universal Energy Systems, Wright Research and Development Center, Air Force Flight Dynamics Laboratory (U.S.), and United States. Air Force. Systems Command (page images at HathiTrust)
• Behavior of solutions of the Navier-Stokes equations for a complete class of three-dimensional viscous vortices (Princeton, New Jersey : Aeronautical Research Associates of Princeton, Inc., [1960], 1960), by Coleman duP. Donaldson, Roger D. Sullivan, Aeronautical Research Associates of Princeton, and United States. Air Force. Office of Scientific Research (page images at HathiTrust)
• Theoretical investigation of 3-D shock wave-turbulent boundary layer interactions : part VII (New Brunswick, New Jersey : Rutgers University, Department. of Mechanical and Aerospace Engineering, 1988., 1988), by Doyle D. Knight, United States. Air Force. Office of Scientific Research, and Rutgers University. Department of Mechanical & Aerospace Engineering (page images at HathiTrust)
• An upwind method for the solution of the 3D Euler and Navier-Stokes equations on adaptively meshes (Wright-Patterson Air Force Base, Ohio : Fliight Dynamics Directorate, Wright Laboratory, Air Force Materiel Command, 1992., 1992), by Michael J. Aftosmis and Ohio) Wright Laboratory (Wright-Patterson Air Force Base (page images at HathiTrust)
• Direct numerical simulation for the receptivity and the whole process of transition around Joukowsky airfoils (Denver, Colorado : University of Colorado at Denver, Department of Mathematics, 1996., 1996), by Chaoqun Liu, Guohua Xiong, Zhining Liu, University of Colorado at Denver, and United States. Air Force. Office of Scientific Research (page images at HathiTrust)
• Numerical simulation of turbulent combustion using vortex methods (Bolling Air Force Base, D.C. : Air Force Office of Scientific Research, Air Research and Development Command, United States Air Force, 1990., 1990), by Ahmed F. Ghoniem, Massachusetts Institute of Technology. Department of Mechanical Engineering, and United States. Air Force. Office of Scientific Research (page images at HathiTrust)
• Two-dimensional Navier-Stokes solution of the flow over a thick supercritical airfoil with strong shock-induced separation (Wright-Patterson Air Force Base, Ohio : Flight Dynamics Laboratory, Air Force Wright Aeronautical Laboratories, Air Force Systems Command, United States Air Force, 1988., 1988), by Don W. Kinsey, Air Force Wright Aeronautical Laboratories, and Air Force Flight Dynamics Laboratory (U.S.) (page images at HathiTrust)
• Computation of a delta-wing roll-and-hold maneuver (Wright-Patterson Air Force Base, Ohio : Fliight Dynamics Directorate, Wright Laboratory, Air Force Systems Command, 1993., 1993), by Raymond E. Gordnier, Miguel Visbal, and Ohio) Wright Laboratory (Wright-Patterson Air Force Base (page images at HathiTrust)
• Vorticity-stream function formulation of compressible and incompressible turbulent internal flows (Arnold Air Force Base, Tennessee : Arnold Engineering Development Center, Engine Test Facility, Air Force Systems Command, United States Air Force, 1979., 1979), by John C. Chien, Inc ARO, United States. Air Force. Arnold Air Force Base, and Arnold Engineering Development Center (page images at HathiTrust)

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