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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 20 of 21 for “"jump conditions"”.
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Manifold joins and jump conditions in general relativity
This thesis has as its aim the analysis of a possible manifold structure on V, a join of two individual manifolds V⁺ and V⁻, and analysing the physics across the join, as implied by Einstein's theory of General Relativity. There are several reasons why one might want to study such a situation. …
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A study of biomechanical variables in the countermovement jump and the drop jump performed by female intercollegiate athletes
… during countermovement (CMJ) and drop (DJ) jumps. A secondary purpose was to descriptively compare the performances of the two jump conditions. Two sagittal view high speed videocameras filmed 25 female intercollegiate basketball and volleyball athletes performing CMJs and DJs. One CMJ, one …
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Schur's Complement and Discontinuous Galerkin Methods for Domain Decomposition Solvers and Plasticity and Interface Evolution Analyses
… to generate, they require the satisfaction of jump conditions across the non-conforming interface. In this work we develop a discontinuous Galerkin framework for such an adaptive mesh refinement. An advantage of discontinuous Galerkin schemes is that they do not introduce constraint equations …
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Modeling, Sensitivity Analysis, and Optimization of Hybrid, Constrained Mechanical Systems
… for hybrid systems is structured based on jumping conditions for both, the velocity state variables and the sensitivities matrix. The proposed analytical approach is then benchmarked against a known numerical method. The mathematical framework is extended to compute sensitivities of the …
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Design, Analysis, and Application of Immersed Finite Element Methods
… and rotated Q1 polynomials to weakly satisfy the jump conditions of elasticity interface problems. Then we analyze the trace inequalities of these IFE functions and the approximation capabilities of the resulted IFE spaces. Based on these preparations, we develop a partially penalized IFE (PPIFE) …
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Thermodynamically consistent modelling and computational methods for multiphase flows
… reduce to the sharp-interface model where the jump conditions can be recovered.
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A Linear Immersed Finite Element Space Defined by Actual Interface Curve on Triangular Meshes
… the local IFE spaces by imposing the weak jump conditions and nodal value conditions on the piecewise polynomials. The unisolvence of the IFE shape functions is proven by the invertibility of the well-known Sherman-Morrison system. Furthermore we derive a group of fundamental identities …
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Theoretical And Computational Study of Steady Transonic Flows of Bethe-Zel\'dovich-Thompson Fluids
… qualitative behavior of BZT fluids. The shock jump conditions, and shock existence conditions consistent with the derived TSDE are presented. The flux function is seen to be quartic in the pressure or density perturbation rather than the quadratic (convex) flux function of the perfect gas …
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Mathematical Modeling of Microscale Biology in Polyelectrolyte Brushes
… and unbound ions are characterized for imposed jump conditions across the interface. The models should be applicable to many intrinsically-disordered biophysical environments and are anticipated to provide insight into the design and development of therapeutics and drug-delivery vehicles to …
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A fast enriched FEM for Poisson equations involving interfaces
… is accounted for by developing suitable jump conditions. The immersed boundary method (IBM) and the immersed interface method (IIM) are successfully used to solve these problems when combined with a fast Fourier transform. However, the IBM and the IIM, which are developed from the finite …
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Propagation of spherically expanding premixed flames
… case, the flame propagates at nearly isobaric conditions and the flame displacement speed eventually reaches a constant value whereas in the confined case there is pressure buildup which affects the flame displacement speed which increases as the flame grows larger. In the confined case, the …
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Magnetic reconnection physics in the solar wind with Voyager 2
… a reconnection exhaust that satisfies the full jump conditions for a stationary slow-mode shock pair.
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Immersed Discontinuous Galerkin Methods for Acoustic Wave Propagation in Inhomogeneous Media
… functions that satisfy appropriate interface jump conditions. The finite element spaces on interface elements satisfy physical interface conditions from the acoustic problem in addition to extended conditions derived from the system of partial differential equations. Additional curl-free and …
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Spray and Single Droplet Impingement on a Wall
… of two surfaces of discontinuity from which the jump conditions are developed along with the governing equation for crown radius. Both viscid and inviscid situations are treated. The results are validated by comparing with experimental and computational results from the literature. The effects of …
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A Spacetime, Balance-Law Formulation of Coupled Atomistic and Continuum Dynamics for Solids
… is used by the SDG method, to enforce weakly the jump conditions on momentum balance and kinematic compatibility. To obtain compatible fluxes on the atomistic side of the coupling boundary I define a boundary atomistic trace that can be optimized to minimize boundary reflections. The coupled …
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Computational modeling of the densification of silica glass under shock loading
… regime. To verify the model, we simulate shock conditions in an idealized piston using finite element simulation, and find that the Rankine-Hugoniot jump conditions are satisfied. Lastly, we use the model to aid the design of high pressure experiments of glass capable of causing densification. …
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Nonconforming Immersed Finite Element Methods for Interface Problems
… are unisolvent with appropriate interface jump conditions. More importantly, the Galerkin IFE scheme using these vector-valued nonconforming rotated Q1 IFE functions are "locking-free" for nearly incompressible elastic materials. In the last part of this dissertation, we consider potential …
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Numerical Methods for Simulating Fluid Motion Driven By Immersed Interface
… the pressure and the velocity, and preserves the jumps in the solutions and their derivatives across the boundary. We then combine the method with a mesh-based solver to yield a hybrid method for computing Stokes solutions at N2 grid points on a rectangular grid. Numerical results are presented …
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High-order hybrid methods using Green's functions and finite elements
… function that satisfies the desired boundary conditions, this form is a convolution of the Green's function with the right hand side. However, straightforward numerical computation of the convolution generally results in a prohibitively costly algorithm. This dissertation focuses on combining …
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Shock Waves in Gas and Plasma in Strong Magnetic Fields
… pressure B2/2μ0 modifies the effective shock jump conditions, when β ≤ 1. It's found with the tested experimental parameters the shock velcoity anisotropy scales with the magnetic field strength. The observed change to the shock symmetry can be explained with the inclusion of the magnetic …
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