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Showing 1 to 14 of 14 for “"pseudospectral method"”.
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Optimal orbital transfer using a Legendre pseudospectral method
Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 2003.
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A Legendre Pseudospectral Method for rapid optimization of launch vehicle trajectories
A Legendre Pseudospectral Method for launch vehicle trajectory optimization, pro posed by Mike Ross and Fariba Fahroo of the Naval Postgraduate School, is presented and applied successfully to several launch problems. The method uses a Legendre pseudospectral differentiation matrix to discretize …
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Performance optimization study of a Common Aero Vehicle using a Legendre Pseudospectral Method
… a nonlinear programming problem using a Legendre Pseudospectral Method. The nonlinear programming problem is then solved using a sparse nonlinear optimization algorithm. Once a solution to the CAV mission design problem is obtained, three main studies are conducted. First, the accuracy of the …
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Performance Analysis of Direct and Indirect Formulations of the Legendre Pseudospectral Method for the Optimization of Spacecraft Trajectories
L'abstract è presente nell'allegato / the abstract is in the attachment
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Advancement and analysis of Gauss pseudospectral transcription for optimal control problems
… increasingly complex, innovative numerical methods are needed to solve them. Direct transcription methods, and in particular, methods involving orthogonal collocation have become quite popular in several field areas due to their high accuracy in approximating non-analytic solutions with …
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Optimal finite-thrust Trans-Earth Injection (TEI) maneuvers for a Low Lunar Orbit (LLO) earth return mission
Pseudospectral methods are used to efficiently solve complex, non-linear optimal control problems and can be used to develop rapid and robust control solutions in astrodynamics applications. With the renewed efforts in resuming future manned missions to the moon or near-earth asteroids, fuel …
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A Gauss pseudospectral transcription for optimal control
A pseudospectral method for solving nonlinear optimal control problems is proposed in this thesis. The method is a direct transcription that transcribes the continuous optimal control problem into a discrete nonlinear programming problem (NLP), which can be solved by well-developed algorithms. The …
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Dynamics and control of electromagnetic satellite formations
… as fuel cost for EMFF is zero. Two different methods of trajectory generation, namely feedback motion planning using the Artificial Potential Function Method (APFM) and optimal trajectory generation using the Legendre Pseudospectral method, will be derived for general EM Formations.
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Two-stage path planning approach for designing multiple spacecraft reconfiguration maneuvers and application to SPHERES onboard ISS
… is discretized in the second stage using a Gauss pseudospectral method (GPM) and solved using an off-the-shelf nonlinear solver. This thesis also places emphasis on the importance of the initialization step in pseudospectral methods in order to decrease their computation times. It demonstrates the …
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Pseudospectral methods in quantum and statistical mechanics
The pseudospectral method is a family of numerical methods for the solution of differential equations based on the expansion of basis functions defined on a set of grid points. In this thesis, the relationship between the distribution of grid points and the accuracy and convergence of the solution …
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The sensitivity and predictability of mesoscale eddies in an idealized model ocean
… resolution in the boundary layer regions. The pseudospectral method, employing an orthogonal expansion in Fourier and Chebyshev functions, relies upon a discrete Green's function technique capable of satisfying to spectral accuracy rather arbitrary boundary conditions on the eastern and western …
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Optimal Control of Inhomogeneous Ensembles
… with formulating the problem and developing methods for the synthesis of optimal, open-loop inputs for large numbers of identically structured dynamical systems that exhibit variation in the values of characteristic parameters across the collection, or ensemble. Our goal is to steer the …
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Tidal Dissipation in Extrasolar Planets
… coordinate system with a pseudo-spectral method to solve the partial differential equation that governs the inertial oscillations. We show that, this technique produces highly accurate solutions when the density profile is smooth. In particular, the lines of nodes are roughly parallel to …
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Reducing turbulence- and transition-driven uncertainty in aerothermodynamic heating predictions for blunt-bodied reentry vehicles
… well-verified, openly available Fourier/B-spline pseudospectral code called Suzerain equipped with a ``slow growth'' spatiotemporal homogenization approximation recently developed by Topalian et al. A first study aimed to reduce turbulence-driven heating prediction uncertainty by providing …