Now showing items 861-870 of 886
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 ...
All-Electron Ground-State and Time-Dependent Density Functional Theory: Fast Algorithms and Better Approximations
(2019)
Density functional theory (DFT), in its ground-state as well as time-dependent variant, have enjoyed incredible success in predicting a range of physical, chemical and materials properties. Although a formally exact theory, ...
Efficient Output-Based Adaptation Mechanics for High-Order Computational Fluid Dynamics Methods
(2018)
As numerical simulations are applied to more complex and large-scale problems, solution verification becomes increasingly important in ensuring accuracy of the computed results. In addition, although improvements in ...
Applications of Locality and Asymmetry to Quantum Fault-Tolerance
(2018)
Quantum computing sounds like something out of a science-fiction novel. If we can exert control over unimaginably small systems, then we can harness their quantum mechanical behavior as a computational resource. This ...
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 ...