Application of the method of Lie series to a calculation of particle orbits in accelerators
Iteration method for solution of differential equations and numerical treatment of cyclotron stability
CYCLOTRON↗
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Results for “calculation method”
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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Calculations of reflected and transmitted radiance for earth's atmosphere.
Monte Carlo method to calculate reflected and transmitted radiance of earth atmosphere using exact scattering function for aerosols by Mie theory
Kattawar, G. W.↗
Calculation by a finite difference method of supersonic turbulent boundary layers with tangential slot injection
Finite difference calculation based on eddy diffusivity and mixing length flow theory to characterize supersonic turbulent boundary layer with tangential slot injection
Beckwith, I. E.↗
The calculation of optimal linings for jet engine inlet ducts, part 2
Numerical method for calculating optimal lining impedance for inlet duct of jet engine
Wilkinson, J. P. D.↗
Systems and methods for liner braiding and resin application
A method of selecting a braid configuration for a braided liner. The method includes calculating a size ratio based on the smallest first diameter and the largest second diameter of the liner and selecting a braid material having a tensile strength. The method further includes calculating a strength ratio based on the tensile strength of the braid material and a selected target strength threshold for the braided liner and determining an optimal braid angle for the smallest first diameter portions of the liner based on the calculated size ratio.
Wexler, Jason Stein↗
Effective properties of semitransparent radiative cooling materials with spectrally variable properties
Radiative cooling is a promising solid-state, non-vapor-compression technology for passive refrigeration and air conditioning. Although this phenomenon occurs naturally, achieving a significant amount of cooling to make it a technically and economically viable technology requires highly engineered, spectrally selective radiative surfaces. These characteristics make radiative cooling difficult to estimate, particularly when it is integrated with other systems such as photovoltaic panels or building envelopes. The complexity further increases when the substrate also participates in the radiative cooling (along with the radiative coating). Energy estimation is becoming increasingly critical because of the recent focus on the semitransparent radiative coatings that transmit a variety of colors to enhance the aesthetic appeal of the system. In this work, we propose an iterative method to calculate the effective radiative properties, which provides the same net radiative cooling that would be observed using the spectral properties at both the coating and substrate surfaces. Compared to traditional methods that rely on either computationally expensive full spectral analysis or methods for averaging each radiative surface parameter locally, our proposed method focuses on calculating effective properties that provide the same the net cooling effect as a full spectral analysis by accounting the emissivity, absorptivity, and transmissivity collectively, thereby providing an overall estimation error of less than 0.2%. We believe that this study will be beneficial to the engineering communities that employ complex simulation codes and require lumped solar and thermal radiation related parameters.
32 ENERGY CONSERVATION, CONSUMPTION, AND UTILIZATI↗
Gaunt and Breit two-electron contributions to mean-field transformations and fine structure splitting
Materials utilized by novel energy systems are often studied using weakly correlated mean-field theories. However, if these systems incorporate heavy elements, relativistic effects must be included. Therefore, a Kramers unrestricted coupled cluster with singles and doubles excitation formalism within a molecular mean-field exact two-component framework (X2C mmf ) using a four-component Dirac–Hartree–Fock (DHF) reference state is presented. The exact X2C mmf transformed normal-order Hamiltonian incorporates all one-electron and two-electron (2e) contributions from the Coulomb, Gaunt, and Breit operators and is used with the equation of motion method to calculate the excitation energies of the alkali group of elements. Using this framework, the effects of 2e Gaunt and Breit integrals are studied. Results demonstrate growing contributions from these integrals to the generated X2C mmf mean-fields and electronic fine structure calculations with increasing atomic number. Overall, this paper outlines the method, its effect within the X2C mmf approach, and lays the foundation for future theoretical development of relativistic calculations within this framework.
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSIC↗
Methods and devices for preventing computationally explosive calculations in a computer for model parameters distributed on a hierarchy of geometric simplices
A computer-implemented method of preventing computationally explosive calculations. The method includes obtaining, by a processor of the computer, measured data of one of a physical process or a physical object; performing hierarchical numerical modeling of a physical process inclusive of an Earth model containing at least one of (a) infrastructure in the ground and (b) a formation feature in the ground, wherein predicted data is generated; comparing the measured data to the predicted data to calculate an estimated error; analyzing the estimated error via an inversion process to update the at least one of the Earth model and infrastructure model so as to reduce the estimated error and to determine a final composite Earth model of at least one of the infrastructure and the feature; and using the final composite Earth model to characterize at least one of the process and the physical object.
Source record↗
Lagrangian simulations of spray interaction with a surface using a stochastic multi-regime impingement model
Modeling of spray impingement upon the piston or cylinder surface is important for hydrocarbon emission and soot predictions in high-fidelity simulation of internal combustion engines with direct injections. Due to the complexity of the physical process of spray impingement, current computational models heavily rely on the empirical studies which involve large uncertainties. A computational model is presented for spray impingement on solid walls in general computational fluid dynamics (CFD) simulations. The model adopts the Marmanis-Thoroddsen theory for determining the number of secondary droplets and a stochastic method for calculating the velocities of the secondary droplets. The numerical methods and parallel implementation of the impingement model are presented in detail. The model is implemented in Grit, which is a recently developed CPU/GPU performance-portable Lagrangian particle library, for accelerating spray simulations. The model and its implementation are tested for examples of spray impingements on flat and smooth surfaces with different impingement angles.
Ge, Wenjun↗
General methodology: Costing, budgeting, and techniques for benefit-cost and cost-effectiveness analysis
The general concepts of costing, budgeting, and benefit-cost ratio and cost-effectiveness analysis are discussed. The three common methods of costing are presented. Budgeting distributions are discussed. The use of discounting procedures is outlined. The benefit-cost ratio and cost-effectiveness analysis is defined and their current application to NASA planning is pointed out. Specific practices and techniques are discussed, and actual costing and budgeting procedures are outlined. The recommended method of calculating benefit-cost ratios is described. A standardized method of cost-effectiveness analysis and long-range planning are also discussed.
Stretchberry, D. M.↗
Choosing antenna aimpoints during occultations - A simple method for Galileo
Attempts have been made to design the trajectory of the Galileo orbiter so that it passes behind Jupiter, as viewed from earth, as many times as possible during the mission. During this type of pass, or occultation, the thick Jovian atmosphere acts as a lens, refracting a portion of the radio signal from the spacecraft toward earth. A method for calculating antenna aiming vectors during occultations is presented. This method meets the necessary accuracy requirements while offering a reduction in terms of complexity and usage of computer resources.
Wolf, Aron A.↗
Preconditioned upwind methods to solve 3-D incompressible Navier-Stokes equations for viscous flows
A computational method for calculating low-speed viscous flowfields is developed. The method uses the implicit upwind-relaxation finite-difference algorithm with a nonsingular eigensystem to solve the preconditioned, three-dimensional, incompressible Navier-Stokes equations in curvilinear coordinates. The technique of local time stepping is incorporated to accelerate the rate of convergence to a steady-state solution. An extensive study of optimizing the preconditioned system is carried out for two viscous flow problems. Computed results are compared with analytical solutions and experimental data.
Hsu, C.-H.↗
Analysis of blended rolled edge reflectors using numerical UTD
The uniform geometrical theory of diffraction (UTD) concept is used to predict the scattered fields in the target zones of compact-range blended rolled-edge reflectors. Since the necessary diffraction coefficients are not known in a closed form, a numerical method to calculate the diffraction coefficients is described. In the numerical method, the problem is reduced to two dimensions, and physical optics line integration is used to compute the diffraction coefficients. Thus, the method is computationally efficient. The method is used to analyze two compact-range reflectors. The results obtained using the numerical UTD show good agreement with the scattered fields obtained using a corrected physical optics surface integration.
Ellingson, Steven W.↗
Discovery and imaging of a Galactic cirrus cloud with the far ultraviolet space telescope
We present new far-ultraviolet (1400-1800 A) data concerning a Galactic cirrus cloud G251.2+73.3 near the north Galactic pole obtained with the space-borne imaging telescope FAUST (Far Ultraviolet Space Telescope). We obtain a good correlation between the far-ultraviolet (FUV) and IRAS 100 micrometers surface brightnesses, their relation being I(sub FUV) = (128 +/- 3) I(sub 100 micrometers) - (264 +/- 9), where the I(sub FUV) flux is given in units of photon/s/sq cm/A/sr and I(sub 100 micrometers) in MJy/sr. Using uvbyH-beta photometry, we get a distance of 120 pc and a visual extinction in the center of the cloud of 0.39 mag corresponding to an extinction of 1.0 mag at 1565 A. We have performed a multiple scattering calculation for the scattered light using the Monte Carlo method. These calculations provide restrictions on the FUV scattering properties of the interstellar dust.
Haikala, Lauri K.↗
Testing Fractal Methods on Observed and Simulated Solar Magnetograms
The term "magnetic complexity" has not been sufficiently quantified. To accomplish this, we must understand the relationship between the observed magnetic field of solar active regions and fractal dimension measurements. Using data from the Marshall Space Flight Center's vector magnetograph ranging from December 1991 to July 2001, we compare the results of several methods of calculating a fractal dimension, e.g., Hurst coefficient, the Higuchi method, power spectrum, and 2-D Wavelet Packet Analysis. In addition, we apply these methods to synthetic data, beginning with representations of very simple dipole regions, ending with regions that are magnetically complex.
Adams, M.↗
An infrared radiation routine for use in numerical atmospheric models
Previous methods for calculating radiative fluxes due to water vapor and CO2 absorption bands are extended to take into consideration the entire water vapor and CO2 bands, including e-type absorption in the window region and the overlapping of different absorptions. Cooling rate profiles in the water vapor bands for a tropical atmosphere were computed by a detailed line-by-line method and by a far-wing approximation method, and the error of both methods is less than 0.2 C/day. Cooling rate profiles in the 15 micron band including overlapping of CO2 absorption with water vapor were calculated by a method in which flux transmittance is computed by means of a linear expansion and the multiplication rule, and maximum errors of 0.3 C/day were found in comparison with the exact line-by-line method.
Chow, M.-D.↗
Characterization of the β-Phrase Region of the SAS Compressor Bed 1 Material (LANA10)
Isotherm data have been acquired and analyzed on the SAS Compressor Bed 1 material in order to define a method to set the initial bed Q/M value when freshly filled after inventory. β-phase data from eleven protium and two deuterium isotherms have been combined to determine a method for calculating the bed Q/M value given a β-phase equilibrium pressure at temperature. This method is a two-step method; first, the plateau pressure is calculated based on the isotope used and the temperature of the bed, and second, the measured equilibrium pressure is divided by the computed plateau pressure to obtain the reduced pressure, which is then inserted into the β-phase equation to calculate the bed’s Q/M value. Error sources and effects are discussed, with the conclusion that the ‘true’ reduced isotherm has been determined in the β-phase which will allow virgin bed inventory to be determined to ~3-4% accuracy.
36 MATERIALS SCIENCE↗
Three dimensional numerical scattering from ocean-like surfaces
A new method of calculating the electric field scattered from two-dimensional conducting rough surfaces is presented. This method uses the operator conjugate gradients technique and the extended boundary condition equation. This avoids the build-up of round-off errors encountered in the inversion of large matrices. It also avoids the singularities of the integral kernels usually encountered in the method of moments. Techniques for improving the rate of convergence by applying physical constraints are discussed. This method is presently being used to calculate the polarization signatures from simulated ocean-like surfaces.
Rodriguez, Ernesto↗