Numerical optimization techniques are playing an increasing role in curve and surface construction. Often difficult problems in curve and surface construction, especially when some aspect of shape control is involved, can be phrased as a constrained optimization problem. Four such classes of problems are explored: parametric curve fitting with non-linear shape constraints; explicit surface fitting with linear shape constraints; surface fitting to scattered data giving rise to ill-posed...

Topics: NASA Technical Reports Server (NTRS), CURVES (GEOMETRY), OPTIMIZATION, SHAPES, SURFACES,...

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Jul 26, 2010
07/10

by
Soloman, Sean C

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The focus of the research was in two broad areas: (1) the nature and dynamics of time dependent deformation and stress along major seismic zones; and (2) the nature of long wavelength oceanic geoid anomalies in terms of lateral variations in upper mantle temperature and composition. The principle findings of the research are described in the accompanying appendices. The first two and the fourth appendices are reprints of papers recently submitted for publication, and the third is the abstract...

Topics: ALGORITHMS, SPATIAL RESOLUTION, TEMPORAL RESOLUTION, WHITE NOISE, DIFFUSION COEFFICIENT, GALERKIN...

The results of the restoration of the optical parameters of the El Chichon aerosol cloud at Lambda 2.2 micron are presented. The eight channel teleradiometer FAZA for visible and near infrared spectral regions is described in some detail. Mathematical aspects of data processing for the ill-posed problems are discussed. The results of the restoration of the volume emission rate of the molecular oxygen on Lambda 1.27 micron in the middle atmosphere and of the aerosol on Lambda 0.84 micron are...

Topics: NASA Technical Reports Server (NTRS), AEROSOLS, HORIZON SCANNERS, MIDDLE ATMOSPHERE, SATELLITE...

The general design method for three-dimensional, potential, incompressible or subsonic-compressible flow developed in part 1 of this report is applied to the design of simple, unbranched ducts. A computer program, DIN3D1, is developed and five numerical examples are presented: a nozzle, two elbows, an S-duct, and the preliminary design of a side inlet for turbomachines. The two major inputs to the program are the upstream boundary shape and the lateral velocity distribution on the duct wall. As...

Topics: NASA Technical Reports Server (NTRS), COMPUTER PROGRAMS, FLOW DISTRIBUTION, INCOMPRESSIBLE FLOW,...

One of the main purposes of geodesy is to determine the gravity field of the Earth in the space outside its physical surface. This purpose can be pursued without any particular knowledge of the internal density even if the exact shape of the physical surface of the Earth is not known, though this seems to entangle the two domains, as it was in the old Stoke's theory before the appearance of Molodensky's approach. Nevertheless, even when large, dense and homogeneous data sets are available, it...

Topics: NASA Technical Reports Server (NTRS), EARTH GRAVITATION, GRAVIMETERS, GRAVITATIONAL FIELDS,...

Experimental-computational methods for estimating characteristics of unsteady heat transfer processes are analyzed. The methods are based on the principles of distributed parameter system identification. The theoretical basis of such methods is the numerical solution of nonlinear ill-posed inverse heat transfer problems and optimal experiment design problems. Numerical techniques for solving problems are briefly reviewed. The results of the practical application of identification methods are...

Topics: NASA Technical Reports Server (NTRS), COMPOSITE MATERIALS, DISTRIBUTED PARAMETER SYSTEMS,...

A new algorithm was developed for fast, automatic integration of chemical kinetic rate equations describing homogeneous, gas-phase combustion at constant pressure. Particular attention is paid to the distinguishing physical and computational characteristics of the induction, heat-release and equilibration regimes. The two-part predictor-corrector algorithm, based on an exponentially-fitted trapezoidal rule, includes filtering of ill-posed initial conditions, automatic selection of Newton-Jacobi...

Topics: NASA Technical Reports Server (NTRS), ALGORITHMS, COMBUSTION, COMPUTER PROGRAMS, REACTION KINETICS,...

An automatic history matching algorithm is developed based on bi-cubic spline approximations of permeability and porosity distributions and on the theory of regularization to estimate permeability or porosity in a single-phase, two-dimensional real reservoir from well pressure data. The regularization feature of the algorithm is used to convert the ill-posed history matching problem into a well-posed problem. The algorithm employs the conjugate gradient method as its core minimization method. A...

Topics: NASA Technical Reports Server (NTRS), ALGORITHMS, APPROXIMATION, CONJUGATE GRADIENT METHOD,...

This report presents a viewpoint of tomography that should be well adapted to currently available optical measurement technology as well as the needs of computational and experimental fluid dynamists. The goals in mind are to record data with the fastest optical array sensors; process the data with the fastest parallel processing technology available for small computers; and generate results for both experimental and theoretical data. An in-depth example treats interferometric data as it might...

Topics: NASA Technical Reports Server (NTRS), CALIBRATING, COMPUTATIONAL FLUID DYNAMICS, COMPUTER AIDED...

A fully Sinc-Galerkin method for the numerical recovery of spatially varying diffusion coefficients in linear partial differential equations is presented. Because the parameter recovery problems are inherently ill-posed, an output error criterion in conjunction with Tikhonov regularization is used to formulate them as infinite-dimensional minimization problems. The forward problems are discretized with a sinc basis in both the spatial and temporal domains thus yielding an approximate solution...

Topics: NASA Technical Reports Server (NTRS), ALGORITHMS, DIFFUSION COEFFICIENT, GALERKIN METHOD, PARABOLIC...

A fully Sinc-Galerkin method for recovering the spatially varying stiffness parameter in fourth-order time-dependence problems with fixed and cantilever boundary conditions is presented. The forward problems are discretized with a sinc basis in both the spatial and temporal domains. This yields an approximation solution which converges exponentially and is valid on the infinite time interval. When the forward methods are applied to parameter recovery problems, the resulting inverse problems are...

Topics: NASA Technical Reports Server (NTRS), ALGORITHMS, BEAMS (SUPPORTS), BOUNDARY CONDITIONS, GALERKIN...

Passive remote sensing of the atmosphere is used to determine the atmospheric state. A radiometer measures microwave emissions from earth's atmosphere and surface. The radiance measured by the radiometer is proportional to the brightness temperature. This brightness temperature can be used to estimate atmospheric parameters such as temperature and water vapor content. These quantities are of primary importance for different applications in meteorology, oceanography, and geophysical sciences....

Topics: NASA Technical Reports Server (NTRS), ATMOSPHERIC TEMPERATURE, REMOTE SENSING, TEMPERATURE...