Now showing items 1-10 of 14
M-theory on G2 Manifolds Moduli to Phenomenology
(2022)
String theories are good candidates for unifying the Standard Model and general relativity. M theory is the non-perturbative limit of all string theories. Moreover, it has been shown that M theory should be compactified ...
Numerical Studies of Wave Turbulence in Finite Domains
(2023)
Nonlinear wave systems are ubiquitous in nature, and when many incoherent dispersive waves interact, there is the potential for wave turbulence (WT). Just as in flow turbulence, systems in WT exhibit inter-scale energy ...
Large-Scale Simulations of Complex Turbulent Flows: Modulation of Turbulent Boundary Layer Separation and Optimization of Discontinuous Galerkin Methods for Next-Generation HPC Platforms
(2020)
The separation of spatially evolving turbulent boundary layer flow near regions of adverse pressure gradients has been the subject of numerous studies in the context of flow control. Although many studies have demonstrated ...
Computational Methods for Understanding Dynamics in Mass Transport and Tissue Development
(2020)
Elucidating the process by which a biological system evolves and properly identifying hidden states and influential underlying factors are important for studying biological functions and origins of diseases. However, due ...
Reduced-Order Modeling of Turbulent Reacting Flows Using Inertial Manifold Theory
(2021)
Turbulent flows found in aerodynamics, propulsion, and other energy conversion sys- tems pose an inherent computational challenge for extensive predictive simulations. Over the last few decades, a statistical approach for ...
Correlation in Complex Networks
(2020)
Network representations are now ubiquitous across science. Indeed, they are the natural representation for complex systems—systems composed of large numbers of interacting components. Occasionally systems can be well ...
Vlasov Simulation with FARSIGHT and Unlimited Photon Acceleration
(2022)
This dissertation presents two bodies of work on the theoretical and numerical study of plasma waves via kinetic models, resolving the fine-scale structures that arise in phase space, and the implications for plasma-based ...
Development and Application of Numerical Methods in Biomolecular Solvation
(2021)
This work addresses the development of fast summation methods for long range particle interactions and their application to problems in biomolecular solvation, which describes the interaction of proteins or other biomolecules ...
Multidisciplinary Study of Soft Shape Morphing Systems
(2021)
Nature abounds with examples of shape morphing systems where an entity either gradually grows into a complex 3-D shape pattern or rapidly morphs into a new configuration. Inspired by the shape shifting capabilities of ...
Symmetry and Reformulation: On Intellectual Progress in Science and Mathematics
(2022)
Science and mathematics continually change in their tools, methods, and concepts. Many of these changes are not just modifications but progress---steps to be admired. But what constitutes progress? This dissertation addresses ...