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A grid-free dilatation element method for quasi-one-dimensional gas dynamics
Compressible flow Gridfree Quasi-one-dimensional flow
2016/5/18
A grid-free scheme for solving quasi-one-dimensional, isentropic, compressible flow in the subsonic regime is developed with a view toward its eventual generalization to three-dimensional turbulent co...
Vortex Dynamics in Transitional and Turbulent Boundary Layers
Vortex Dynamics Transitional Turbulent Boundary Layers
2016/5/18
The dynamics of transitional and turbulent boundary layers is explored via a hybrid vortex filament/finite volume simulation scheme in which vortical structures are identified without the constraints ...
The dynamic conformational cycle of the group I chaperonin C-termini revealed via molecular dynamics simulation.
dynamic conformational cycle group I chaperonin C-termini revealed molecular dynamics simulation.
2015/12/11
Chaperonins are large ring shaped oligomers that facilitate protein folding by encapsulation within a central cavity. All chaperonins possess flexible C-termini which protrude from the equatorial doma...
MAPPING CLASS GROUP DYNAMICS ON SURFACE GROUP REPRESENTATIONS
GROUP DYNAMICS GROUP REPRESENTATIONS
2015/9/29
Deformation spaces Hom(π, G)/G of representations
of the fundamental group π of a surface Σ in a Lie group G admit natural actions of the mapping class group ModΣ, preserving a
Poisson structure. Wh...
A Bifurcation Analysis of the Quadratically Damped Mathieu Equation and Its Applications to the Dynamics of Submarine Towed-Array Lifting Devices
Bifurcation Analysis Quadratically Damped Mathieu Equation Applications Dynamics Submarine Towed-Array Lifting Devices
2015/8/27
This work concerns the dynamics of towed array lifting devices (LFDs), which help to maintain the position of a tow line being dragged behind a vessel.
Dynamics of two van der Pol oscillators coupled via a bath
Nonlinear Oscillator Floquet Stability Bifurcation
2015/8/27
We investigate the existence and stability of the in-phase and out-of-phase modes for parameters ? > 0 and k > 0. To this end we use Floquet theory and numerical integration. Surprisingly, our results...
Dynamics of four coupled phase-only oscillators
MEMS oscillators Nonisolated equilibria Phase-locked motion
2015/8/27
We study the dynamics of a system of four coupled phase-only oscillators. This system is analyzed using phase differ-ence variables in a phase space that has the topology of a three-dimensional torus....
Dynamics of three coupled limit cycle oscillators with application to artificial intelligence
MEMS oscillators Associative memory Phase-locked motion Coupled oscillators
2015/8/27
We study a system of three limit cycle oscillators which exhibits two stable steady states. The system is modeled by both phase-only oscillators and by van der Pol oscillators. We obtain and compare t...
Dynamics of microbubble oscillators with delay coupling
Microbubble Differential delay equation Perturbation theory Hopf bifurcation
2015/8/27
wo vibrating bubbles submerged in a fluid influence each others’ dynamics via sound waves in the fluid. Due to finite sound speed, there is a delay between one bubble’s oscillation and the other’s. Th...
Parametric Excitation and Evolutionary Dynamics
Parametric Excitation Evolutionary Dynamics
2015/8/27
Parametric excitation refers to dynamics problems in which the forcing function enters into the governing differential equation as a variable coefficient. Evolutionary dynamics refers to a mathematica...
Nonlinear Models of Neural and Genetic Network Dynamics:Natural Transformations of Łukasiewicz Logic LM-Algebras in a Łukasiewicz-Topos as Representations of Neural Network Development and Neoplastic Transformations
neural network development morphogenesis neoplastic transformations LM-logic algebra categories
2015/7/21
A categorical and Łukasiewicz-Topos framework for Algebraic Logic models of nonlinear dynamics in complex functional systems such as Neural Networks, Cell Genome and Interactome Networks is intro...
Lagrangian Analysis and Prediction of Coastal and Ocean Dynamics
Coastal and Ocean Dynamics Lagrangian Analysis
2015/7/20
During a colloquium on Lagrangian dynamics in Liège, Belgium, in 1999, several participants discussed convening a meeting devoted to Lagrangian studies in the ocean and atmosphere. The European Scienc...
Nonlinear Dynamics and Alternative Stable States in Shallow Coastal Systems
Shallow Coastal Systems Nonlinear Dynamics
2015/7/16
The dynamics of shallow-water coastal environments are controlled by external drivers—sea level rise, storms, and sediment and nutrient supplies—and by internal feedbacks. Interactions of biotic proce...
Advances in Bringing High-order Methods to Practical Applications in Computational Fluid Dynamics
Advances Bringing High-order Methods Practical Applications Computational Fluid Dynamics
2015/7/3
Following pioneering research by mathematicians such as Lax and Godunov, the early development of computational uid dynamics (CFD) between 1970 and 1995 was particularly pursued in the Aerospace Commu...
Optimization Methods in Computational Fluid Dynamics
Optimization Methods Computational Fluid Dynamics
2015/7/3
In order to set the context for aerodynamic shape optimization, the airplane design process is summarized in the following paragraphs. It can generally be divided into three phases: conceptual design,...