Global ETD Search
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 20 of 52 for “"fully nonlinear"”.
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Computations of fully nonlinear three-dimensional wave-body interactions
Nonlinear effects in hydrodynamics of wave-body interaction problems become critically important when large-amplitude body motions and/or extreme surface waves are involved. Accurate prediction and understanding of these fully nonlinear effects are still challenges in the design of surface ships …
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Fully nonlinear interfacial waves in a bounded two-fluid system
We study the nonlinear flow which results when two immiscible inviscid incompressible fluids of different densities and separated by an interface which is free to move and which supports surface tension, are caused to flow in a straight infinite channel. Gravity is taken into consideration and the …
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Numerical study of fully nonlinear water waves in three dimensions
Thesis (Sc. D.)--Massachusetts Institute of Technology, Dept. of Ocean Engineering, 1992.
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Qualitative Properties Of Solutions Of Fully Nonlinear Equations And Overdetermined Problems
… and radial symmetry for viscosity solutions of fully nonlinear partial differential equations. We</p> <p>obtain the radial symmetry and monotonicity properties for</p> <p>nonnegative viscosity solutions of fully nonlinear equations under some asymptotic decay rate at infinity. Our symmetry and …
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Three-dimensional fully-nonlinear simulations of waves and wave body interactions
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Ocean Engineering, 1997.
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Local Regularity of the Complex Monge-Ampere Equation
… complex Monge-Ampere equation through the modern fully-nonlinear PDE point of view. We have apply the modern elliptic techniques to establish new local regularity results. These includes: regularity of small perturbed solutions, Holder regularity of the Hessian of the W^{2,p} solutions and a …
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Mathematical problems arising in interfacial electrohydrodynamics
In this work we consider the nonlinear stability of thin films in the presence of electric fields. We study a perfectly conducting thin film flow down an inclined plane in the presence of an electric field which is uniform in its undisturbed state, and normal to the plate at infinity. In addition, …
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Alfven-Rossby Waves in Rotating Magnetized Stars
… of kinematic drifts. We studied the weakly nonlinear interactions between linear Alfven-Rossby waves. We used a spherical harmonic representation in which the fully nonlinear MHD equations are replaced by an equivalent system of first order ODEs. We computed the coupling coefficients …
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Dynamics and stability of gravity-capillary solitary waves
… a new class of solitary waves can propagate in nonlinear dispersive wave systems if the phase speed of linear waves attains a local extremum at some finite wavenumber. Near such a point, solitary waves in the form of small-amplitude wavepackets can be obtained for which the phase speed of the …
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Dynamic Analysis of an Inflatable Dam Subjected to a Flood
… it can operate without rupture, or overflow. A fully nonlinear free-surface flow was applied in two dimensions using a mixed Eulerian-Lagrangian formulation. An ABAQUS finite element model was used to determine the dynamic structural response of the dam. The problem was solved in the time domain …
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Analysis of a Partial Differential Equation Model of Surface Electromigration
… surface. I will present the formulation of a nonlinear parabolic PDE problem for the height function <em>h</em>(<em>x</em>,<em>t</em>) of the film in the horizontal electric field, followed by the results of the linear stability analyses and computations of fully nonlinear evolution …
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A hybrid model for large scale simulation of unsteady nonlinear waves
… by combining the derived fifth order Enhanced Nonlinear Schrödinger Equation based on Fourier transform (ENLSE-5F), the fully nonlinear Enhanced Spectral Boundary Integral (ESBI) method and its simplified version. The numerical techniques and algorithm for coupling three models on time scale …
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Nonlinear deformations of a thick-walled hyperelastic tube under external pressure
… research deals with several novel aspects of the nonlinear behaviour of thick-walled cylindrical hyperelastic tubes under external pressure. Initially, we consider bifurcation from a circular cylindrical deformed configuration of a thick-walled circular cylindrical tube of incompressible isotropic …
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Numerical simulation of nonlinear response of moored floating structures to steep waves
… wave-body interaction problems based on the fully nonlinear potential theory. The boundary value problem in this model is solved by a finite element method (FEM). The main difference between this method and the conventional FEM is that the complex mesh is generated only once at the beginning …
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Nonlinear control strategies for quadrotors and CubeSats
… is presented in two parts. In the first part, a fully nonlinear controller is developed for controlling the position and attitude of the Crazyflie quadrotor. In order to use this controller, a system identification is first performed in order to completely model the dynamics of the Crazyflie …
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Hydrodynamic stability of a premixed flame subjected to transverse shear
… a three-step study to address the linear, weakly nonlinear, and fully nonlinear stabilities of a premixed flame subjected to a transverse shear. First, the linear analysis extends the classical DL configuration and solves the linearized stability problem. The key result is a dispersion relation …
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Nonlinear Waves on Extremal Black Hole Spacetimes
… study of the global behaviour of solutions of nonlinear wave equations where the nonlinearity satisfies the null condition on extremal Reissner-Nordstrom black hole spacetimes.Under the assumption of spherical symmetry I show that solutions which arise from sufficiently small compactly …
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On the impact of arbitrary two-dimensional sections
… comparisons to the physical experiments and the fully-nonlinear simulation results for wedges and by comparisons to the existing experiments for circular cylinders. for arbitrary ship-like bodies, we also develop a general solution scheme based on the use of Lewis-form representation of the body …
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Simultaneous Estimation and Modeling of State-Space Systems Using Multi-Gaussian Belief Fusion
… models. Finally, SEAM is generalized to fully nonlinear and non-Gaussian systems. Several parametric studies were performed on simulated experiments in order to assess the various dependencies of the SEAM framework and validate its effectiveness in both estimation and modeling. The …
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Radiation and dissipation of internal waves generated by geostrophic motions impinging on small-scale topography
… motions flowing over bottom topography. Weakly-nonlinear theory is used to describe the internal wave generation and the feedback of the waves on the zonally averaged flow. A major finding is that the waves generated at the ocean bottom at finite inverse Froude numbers drive vigorous inertial …
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