Numerical solution of differential equations using Obrechkoff corrector formulas
Solution of differential equations by predictor corrector formulas for high order accuracy
Rosen, J. S.↗
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Search indexed NASA NTRS and DOE OSTI research on propulsion, heat transfer, battery materials and energy systems. Follow report and document links to the original sources.
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Numerical solution of unsteady flow in a rectangular cavity with a moving wall
Unsteady flow in two dimensional, rectangular cavity with upper wall moving
Donovan, L. F.↗
Numerical solutions of reflected shock-wave flowfields with nonequilibrium chemical reactions
Flow fields construction for normal shock waves with nonequilibrium chemical reactions reflected from shock tube end wall
Hanson, R. K.↗
Numerical solution of nonlinear equations for spinning shallow spherical shells
Nonlinear spinning shallow spherical shell equations solved for equilibrium stress and displacement distributions, discussing inertia loading
Beckemeyer, R. J.↗
On the numerical solution of a class of problems in a linear first strain-gradient theory of elasticity
Discrete models for boundary value problems analysis in first strain-gradient elasticity theory, using extended finite element method
Cornett, D.↗
Numerical solution of the hypersonic viscous shock-layer equations
Viscous shock layer equations of laminar hypersonic flow past blunt body at moderate to high Reynolds numbers
Davis, R. T.↗
Numerical solution of unsteady flow in a rectangular cavity with a moving wall
Unsteady flow in rectangular cavity with moving wall, using iterative solution of Navier-Stokes equations
Donovan, L. F.↗
Numerical solution for chemically generated waves in a dilute, isothermal atmosphere
Mathematical model for impulsive heat releases by chemically generated waves in atmosphere
Eberstein, I. J.↗
Use of Green's functions in the numerical solution of two-point boundary value problems Final report, 1 Apr. 1970 - 31 Mar. 1971
Green function in solving linear and nonlinear second order ordinary differential equations including examples in finding rendezvous and periodic orbits of restricted three body system
Gallaher, L. J.↗
Numerical solutions for the complete shock wave structure behind supersonic edge delta wings
Computerized simulation of shock waves and flow fields behind supersonic edge delta wings and wing-body combinations
Kutler, P.↗
Construction of general purpose programs for the numerical solution of certain electromagnetic scattering problems
Development of computable electromagnetic theory model for lunar reflectivity problem - Vol. 3
Mireles, R.↗
Numerical solutions to the continuity equation in the negative-glow-Faraday-dark-space transition
One dimensional charged particle continuity equation solution in low energy neutral plasma with current flows
Hurt, W. B.↗
Numerical solution of the interaction of a shock wave with a laminar boundary layer
Shock wave interaction with laminar boundary layer on flat plate using modified Lax-Wendroff difference technique
Maccormack, R. W.↗
A numerical solution of the planar supersonic near-wake with its error analysis
Planar supersonic near wake flow field problem with variable viscosity and base injection, investigating boundary errors spatial decay rate
Cheng, S. I.↗
Exact numerical solutions for transient shear stress and boundary-layer induced pressure
Hypersonic flat plate under impulsive loads, calculating time dependent transient wall shear stress and boundary layer induced pressure
Gupta, R. N.↗
Transpiration and film cooling boundary layer computer program. Volume 1: Numerical solutions of the turbulent boundary layer equations with equilibrium chemistry
A finite difference turbulent boundary layer computer program has been developed. The program is primarily oriented towards the calculation of boundary layer performance losses in rocket engines; however, the solution is general, and has much broader applicability. The effects of transpiration and film cooling as well as the effect of equilibrium chemical reactions (currently restricted to the H2-O2 system) can be calculated. The turbulent transport terms are evaluated using the phenomenological mixing length - eddy viscosity concept. The equations of motion are solved using the Crank-Nicolson implicit finite difference technique. The analysis and computer program have been checked out by solving a series of both laminar and turbulent test cases and comparing the results to data or other solutions. These comparisons have shown that the program is capable of producing very satisfactory results for a wide range of flows. Further refinements to the analysis and program, especially as applied to film cooling solutions, would be aided by the acquisition of a firm data base.
Levine, J. N.↗
Vortex equations: Singularities, numerical solution, and axisymmetric vortex breakdown
A method of weighted residuals for the computation of rotationally symmetric quasi-cylindrical viscous incompressible vortex flow is presented and used to compute a wide variety of vortex flows. The method approximates the axial velocity and circulation profiles by series of exponentials having (N + 1) and N free parameters, respectively. Formal integration results in a set of (2N + 1) ordinary differential equations for the free parameters. The governing equations are shown to have an infinite number of discrete singularities corresponding to critical values of the swirl parameters. The computations point to the controlling influence of the inner core flow on vortex behavior. They also confirm the existence of two particular critical swirl parameter values: one separates vortex flow which decays smoothly from vortex flow which eventually breaks down, and the second is the first singularity of the quasi-cylindrical system, at which point physical vortex breakdown is thought to occur.
Bossel, H. H.↗