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Showing 1 to 14 of 14 for “"coupled set"”.
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Distributed Parameter Control of Thermal Fluids
… governed by the Boussinesq approximation of the coupled set of Navier-Stokes and heat equations. The control is applied through Dirichlet boundary conditions. We concentrate on a two-dimensional mode and use a semidiscrete Galerkin scheme for numerical computations. We construct both a linear …
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A theoretical and experimental analysis of SBS suppression through modification of amplifier seed
… approach described mathematically by a coupled set of ordinary differential equations and also transient effects described by a coupled set of partial differential equations. For the multi-frequency seeded case, the equations are solved in the steady-state limit and include the effects …
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Dynamics and control of flexible spacecraft : a case study
… form), highly nonlinear, nonautonomous and coupled set of equations amenable only to a numerical solution. Two distinctly different discretization procedures, using the system modes and the component modes, are applied to the design as well as the Lagrange orientations of the FMC. The system …
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Multiscale simulation of viscoelastic flows : applications to kinetic theory models of polymer melts and liquid crystalline polymers
… simulation approaches require solution of the coupled set of the equations of change, the governing equations from kinetic theory, and the flux expressions that map molecular configurations to macroscopic quantities. Most complex flow simulations so far make use of a mixed finite element method …
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Analysis of the wake behind a propeller using the finite element method with a two-equation turbulence model
… ducted and nonducted propellers in action. The coupled set of the Reynolds time-averaged Navier-Stokes equations and two turbulence transport equations for the turbulent kinetic energy and its rate of dissipation was solved by L/U decomposition and successive substitution with relaxation. An …
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Parallel Fft-Accelerated Time-Domain Integral Equation Solvers for Electromagnetic Analysis
… components are interfaced and the resulting coupled set of nonlinear equations is evolved in time by a multidimensional Newton-Raphson scheme. The solution procedure is accelerated by allocating field- and circuit-related computations across the processors of a distributed-memory cluster, …
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The Development and Application of Reactive Transport Modeling Techniques to Study Radionuclide Migration at Yucca Mountain, Nevada
… modeling reactive transport models is to solve a coupled set of multi-dimensional partial differential equations for the relevant chemical components in the system. We have developed an iterative solution technique, denoted the selective coupling method, that represents a versatile alternative to …
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A revised monod-type rate law predicting variable sulfur isotope fractionation factors as a function of microbial sulfate reduction rate
… rate expression constrained by a novel set of experiments. A series of batch reactors containing an identical amount Desulfovibrio vulgaris, a strain of sulfate reducing bacteria (SRB), were subjected to differing continuous mass addition rates of formate to minimize growth and control …
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A Mathematical Model of the Dynamics of an Optically Pumped Four-Level Solid State Laser System
… the cavity is developed. The model consists of a coupled set of first order semilinear partial differential equations. While the model was developed for Titanium-doped sapphire lasers, it is applicable to three and four level lasers in general.</p> <p>The analysis of the model is conducted in two …
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The numerical simulation of thin film flow over heterogeneous substrates
… to be reduced to a more tractable form, namely a coupled set of partial differential equations. These are solved numerically since the flows of interest involve substrates containing heterogeneities in the form of wetting patterns and/or topography. An efficient and accurate numerical method is …
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Development and validation of a computational model for a proton exchange membrane fuel cell
… and electron microscopy were used. The coupled set of partial differential equations is solved sequentially over a single solution domain with the commercial computational fluid dynamics (CFD) solver, CFDesign™ and is readily adaptable with respect to geometry and material property …
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Free vibration and nonlinear transient analysis of imperfect laminated structures
… time integration schemes as applied to the full set of equations and also using reduction methods. Two time integration schemes, the Newmark method and the Wilson () method, are first tested on a series of linear and nonlinear examples without and with geometric imperfections. Reduction methods …
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Derivation of Similarith solutions for the One-Dimensional, One-Velocity Neutron Diffusion Equation Using Lie Group Transformation Theory
Made available in DSpace on 2017-07-06T18:55:28Z (GMT). No. of bitstreams: 3 Myers_William_L_MS.pdf: 26862151 bytes, checksum: fb1b194ae8d1df514a990af341ae3487 (MD5) Myers_William_L_MS_ABS.pdf: 596542 bytes, checksum: 6959b7aaf4a682d0c3b55423a0f04de3 (MD5) license.txt: 4813 bytes, checksum: …
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Design and implementation of parity error detection in donor qubits in silicon
… The first design had the donor dots tunnel coupled to the single electron transistor (SET) charge sensor and the second had the donor dots capacitively coupled to an independent reservoir 50nm away from the SET charge sensor. We showed that under high bias of the SET (1mV) where we achieve a …