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Showing 1 to 20 of 68 for “"spectral element"”.
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Exascale finite/spectral element simulations
Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2026-08-01
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Spectral element mesh generation and improvement methods
Made available in DSpace on 2017-03-01T16:37:06Z (GMT). No. of bitstreams: 2 MITTAL-THESIS-2016.pdf: 6322867 bytes, checksum: ceeadf110747990a0a9d8d4edfd97f89 (MD5) LICENSE.txt: 4209 bytes, checksum: e320f9ba4f501ad2c60568d7212152e0 (MD5) Previous issue date: 2016-12-06
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Spectral element poisson preconditioners for heterogeneous architectures
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2023-12-04 without embargo terms
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A Spectral Element Method for Viscoelastic Fluid Flow
This thesis establishes a new spectral element technique for solving incompressible Newtonian flows and viscoelastic flows of non-Newtonian fluids. In the numerical simulation of the incompressible Newtonian fluid in two dimensions, the spectral element approximations of the Stokes and …
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Spectral Element Analysis of Bars, Beams, and Levy Plates
… with the development and coding of a Levy-type spectral plate element to analyze the harmonic response of simply supported plates in the mid to high frequency range. The development includes the governing PDE, displacement field, shape function, and dynamic stiffness matrix. A two DOF spectral …
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A discontinuous Galerkin spectral element method compressible flow solver
… flow simulation using the discontinuous Galerkin spectral element method. The algorithms are designed for simulation of compressible turbulence in realistic engineering geometries that are relevant to a broad range of mechanical engineering applications. Such problems are difficult because of high …
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Efficient Spectral-Element Methods For Acoustic Scattering And Related Problems
… with a plane interface. Then, we use Fourier-Spectral method in the periodic structure problem and Hermite-Spectral method in the unbounded rough surface problem to reduce the two-dimensional problems into a sequence of one-dimensional problems, which can then be efficiently solved by a …
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Stability Analysis of Time Delay Systems Using Spectral Element Method
… continuous coefficients is the Temporal Finite Element Analysis (TFEA). However, TFEA has only linear rates of convergence and is limited to h-convergence schemes. The limited rate of convergence in TFEA has prohibited its application to a wide class of DDEs such as DDEs with complicated …
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Boundary integral/spectral element solution of the Navier-Stokes equations
A boundary integral/spectral element technique was developed to solve the unsteady Navier-Stokes equations and the steady convective transport equation. A semi-implicit formulation of the temporal integration rendered a linear spatial problem at sequential time increments. For low to moderate …
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A Legendre spectral element method for the rotational Navier-Stokes equations
Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1995.
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The fourier spectral element method for vibration analysis of general dynamic structures
<p>The Fourier Spectral Element Method (FSEM) was proposed by Wen Li on the vibration of simple beams (Li, 1999), and was extended to the vibration of rectangular plates (Li, 2004). This dissertation proposes a revised formulation on the vibration of rectangular plates with general boundary …
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Polynomial reduction with full domain decomposition preconditioner for spectral element poisson solvers
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2023-04-12 without embargo terms
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Development of a high-order accurate reservoir simulator using spectral element method
… often based on finite volume or finite element methods, can be computationally prohibitive to fully resolve the physics of flows with sharp fronts. A high-order numerical scheme with strong stability properties and robustness to accurately resolve the physics of reservoir flows is thus …
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Nonconforming sliding spectral element methods for the unsteady incompressible Navier-Stokes equations
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Ocean Engineering, 1991.
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Nonconforming discretizations and a posteriori error estimators for adaptive spectral element techniques
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 1989.
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High-Resolution Digital Noise Mapping of Urban Environments Using the Spectral Element Method
… in urban areas. This research employs the spectral element method (SEM), a numerical technique known for its ability to model complex geometries accurately. The SEM is employed to create high-resolution digital soundscape maps that allow for a comprehensive analysis of the spatial and …
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A Hybrid Spectral-Element / Finite-Element Time-Domain Method for Multiscale Electromagnetic Simulations
<p>In this study we propose a fast hybrid spectral-element time-domain (SETD) / finite-element time-domain (FETD) method for transient analysis of multiscale electromagnetic problems, where electrically fine structures with details much smaller than a typical wavelength and electrically coarse …
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On the development of preconditioning the advection diffusion operators with spectral element discretization
Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2025-05-01
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Optimal spectral element methods for the unsteady three-dimensional incompressible Navier-Stokes equations
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 1988.
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Least squares spectral element method for laminar and turbulent flows, –continuous and discontinuous approaches–
In this research, application of a least squares spectral element method for compressible laminar and turbulent flow problems is investigated. For the turbulent Reynolds Averaged Navier-Stokes (RANS), a modified Spalart-Allmaras (SA) turbulence model is employed and integrated with the mean flow …
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