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Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 18 of 18 for “"curvilinear coordinates"”.
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Some Solutions of Problems in Plane Elasticiy Using Curvilinear Coordinates
Made available in DSpace on 2014-12-04T23:10:48Z (GMT). No. of bitstreams: 1 0004007.pdf: 1433087 bytes, checksum: 93703e51b46b294ed599cf0b080f9dcd (MD5) Previous issue date: 1952
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Nodal integral methods for heat and mass transfer in curvilinear coordinates
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2022-11-11 without embargo terms
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A non-parametric discontinuous Galerkin formulation of the integral boundary layer equations with strong viscous-inviscid coupling
… DG formulation eliminates the need of explicit curvilinear coordinates in traditional boundary layer solvers, and thus enables application to complex geometries even involving non-smooth features. The usual curvilinear coordinates are replaced by a local Cartesian basis, which is conveniently …
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An Application of the Lie Group Theory of Continuous Point Transformations to the Vlasov-Maxwell Equations (Plasma Physics)
… are first expressed in arbitrary orthogonal, curvilinear coordinates. Their invariance properties are studied in Cartesian, cylindrical and spherical geometries. One-to-one mappings between the admitted groups of point transformations in the different geometries are demonstrated.
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A study of vibrating-rotating motions of polyatomic molecules
… the system was expressed in both rectilinear and curvilinear coordinates, Potential energy surfaces were obtained from fitting either ab initio or experimental data points by a series expansion of convenient functions in the same coordinates as the kinetic energy operator. We have formulated the …
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Wave Scattering From Infinite Cylindrical Obstacles of Arbitrary Cross-Section
… equation is expressed in terms of generalized curvilinear coordinates. Boundary conforming grids are generated using elliptic grid generators. Then, a explicit marching in time scheme is implemented over these grids. It is found that as time grows the numerical solution converges to a wave with …
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The De Saint-Venant equations in curved channels
After introducing the subject of curvilinear flow, particularly in the context of meandering natural channels, this thesis then describes the three conventional models for unsteady flow in open channels, namely kinematic, diffusion and dynamic. These descriptions are in terms of the straight …
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An Extension of Essentially Non-Oscillatory Shock-Capturing Schemes to Multi-Dimensional Systems of Conservation Laws
… boundary conditions and applications to general curvilinear coordinates.</p>
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Improving Controllers for Formations and Deconfliction among Non-holonomic Vehicles
… robotics. The geometric reasoning takes place in curvilinear coordinates, which are defined by the curvature of the leaders reference trajectory, in order to directly satisfy the constraints, instead of the typical rectilinear coordinates. The approach directly provides the feasible controls that …
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Development and Application of Stochastic Methods for Radiation Belt Simulations
… diffusion problem, and is generalized to curvilinear coordinates to enable calculation of the electron phase space density as a function of adiabatic invariants M, K and L. Based on this theory, a three-dimensional radiation belt electron model in adiabatic invariant coordinates, named REM …
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An investigation of the electromagnetic coupling problem by means of a rational framework and selected experiments
… an efficient finite element method in curvilinear coordinates is developed. The method is also used to evaluate the third experiment, which was conducted in the literature. In the experiment, the local deformation of an oil drop subjected to an electric field is investigated. The …
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Teleseismic transmission and reflection tomography
… efficient one-way wave propagation on curvilinear coordinates. The use of overturning coordinate systems allows for the application of wave equation tomography to phases previously unused in other oneway schemes. The final project presents a novel approach to wave-equation teleseismic …
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An investigation to predict the sub-atmospheric pressure on high spillways
… and the Bernoulli equation for Boundary-Fitted Curvilinear Coordinates (BFCC). The discretizations and computations were executed on a fixed, square grid regardless of the shape of the physical boundary. Equations were discretized using the finite difference method. The results show that the …
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Long Waves In Channels Of Non-Uniform Cross-Section
… Curvature is introduced by means of orthogonal curvilinear coordinates following the channel. The resulting one-dimensional cross-sectional averaged equations contain new coefficients depending only on the geometry of the channel. To the level of approximation considered, these equations do not …
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Parallel Simulations, Reduced-Order Modeling, and Feedback Control of Vortex Shedding using Fluidic Actuators
… the incompressible Navier-Stokes equations on curvilinear coordinates to analyze vortex shedding. The algorithm is implemented on a distributed-memory, message-passing parallel computer, and a domain decomposition technique is employed to partition the grid into various processors. We validate …
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A study of some fundamental equations for the deformation of a variable thickness plate
… (θ₁,θ₂)+ λθ₃a̅₃(θ₁,θ₂)] where θ₁,θ₂, and θ₃ are curvilinear coordinates with θ₁ and θ₂ being the coordinates of the middle surface and λ=t/L being a constant for a plate of constant thickness t. This paper takes λ = λ(θ₁,θ₂) as a function of θ₁ and θ₂ so that the variable thickness may be taken …
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Hydrodynamic and water quality modelling of Chicago Area Waterway System (CAWS)
… shallow water equations (SWE) on generalised curvilinear coordinates on structured mesh is developed and applied to a portion of CAWS. Also used for the two dimensional modelling is a finite-element model, TELEMAC-2D, for the same portion of the river. TELEMAC suite of models are open-source …
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Well-posedness results for a class of complex flow problems in the high Weissenberg number limit
… boundary layer by transforming to Lagrangian coordinates. In contrast to the possible ill-posedness of Prandtl's system in Newtonian fluids, we prove that in non-Newtonian fluids the stress boundary layer problem is well-posed.