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The present paper develops recursive algorithms to track shifts in the resonance frequency of linear systems in real time. To date, automatic resonance tracking has been limited to non-model-based approaches, which rely solely on the phase…

Optimization and Control · Mathematics 2020-12-22 Thomas Vasileiou

A challenging and fundamental research problem is the better understanding and control of the turbulent transport of heat in present-day tokamak fusion experiments. Recent developments in numerical methods along with enormous gains in…

Plasma Physics · Physics 2008-02-03 Jeremy Kepner , Scott Parker , Viktor Decyk

A phase-field formulation is introduced to simulate quantitatively microstructural pattern formation in alloys. The thin-interface limit of this formulation yields a much less stringent restriction on the choice of interface thickness than…

Materials Science · Physics 2016-08-31 Alain Karma

Building oscillator based computing systems with emerging nano-device technologies has become a promising solution for unconventional computing tasks like computer vision and pattern recognition. However, simulation and analysis of these…

Emerging Technologies · Computer Science 2016-11-15 Yan Fang , Victor V. Yashin , Donald M. Chiarulli , Steven P. Levitan

Reduced basis methods provide a powerful framework for building efficient and accurate emulators. Although widely applied in many fields to simplify complex models, reduced basis methods have only been recently introduced into nuclear…

Nuclear Theory · Physics 2022-10-12 Amy L. Anderson , Graham L. O'Donnell , J. Piekarewicz

This paper concludes a three-part effort aimed at developing a consistent and unified framework for the phase-field modeling of cohesive fracture. Building on the theoretical foundations established in the first two parts, which included a…

Analysis of PDEs · Mathematics 2025-07-31 Roberto Alessi , Francesco Colasanto , Matteo Focardi

In this research, atomistic molecular dynamics simulations are combined with mesoscopic phase-field computational methods in order to investigate phase-transformation in polycrystalline Aluminum microstructure. In fact, microstructural…

Materials Science · Physics 2019-07-03 Mehrdad Yousefi

A diffuse-interface model for microstructure with an arbitrary number of components and phases was developed from basic thermodynamic and kinetic principles and formalized within a variational framework. The model includes a composition…

Materials Science · Physics 2011-07-28 Daniel A. Cogswell , W. Craig Carter

We present an energy-preserving mechanic formulation for dynamic quasi-brittle fracture in an Eulerian-Lagrangian formulation, where a second-order phase-field equation controls the damage evolution. The numerical formulation adapts in…

Mathematical Physics · Physics 2022-02-23 Nicolas A. Labanda , Luis Espath , Victor Manuel Calo

We consider a recently introduced formulation for fluid-structure interaction problems which makes use of a distributed Lagrange multiplier in the spirit of the fictitious domain method. In this paper we focus on time integration methods of…

Numerical Analysis · Mathematics 2019-07-02 Daniele Boffi , Lucia Gastaldi , Sebastian Wolf

The dynamics of solid-liquid interfaces controlled by solute precipitation and/or dissolution due to the chemical reaction at the interface were computed in two dimensions using a phase field models. Sharp-interface asymptotic analysis…

Computational Physics · Physics 2018-08-30 Zhijie Xu , Hai Huang , Xiaoyi Li , Paul Meakin

This paper presents our work on developing parallel computational methods for two-phase flow on modern parallel computers, where techniques for linear solvers and nonlinear methods are studied and the standard and inexact Newton methods are…

Computational Engineering, Finance, and Science · Computer Science 2017-01-24 Hui Liu , Lihua Shen , Yan Chen , Kun Wang , Bo Yang , Zhangxin Chen

Symmetry techniques based on group theory play a prominent role in the analysis of nuclear phenomena, and in particular in the understanding of observed regular patterns in nuclear spectra and selection rules for electromagnetic…

Nuclear Theory · Physics 2023-02-10 J. M. Yao

The intrinsic optical nonlinearities of quasi-one dimensional structures, including conjugated chain polymers and nanowires, are shown to be dramatically enhanced by the judicious placement of a side group or wire of sufficiently short…

Optics · Physics 2023-07-19 Rick Lytel , Sean M. Mossman , Mark G. Kuzyk

A new 3DAP reconstruction procedure is proposed that accounts for the evaporation field of a secondary phase. It applies the existing cluster selection software to identify the atoms of the second phase and, subsequently, an iterative…

Materials Science · Physics 2009-07-30 F. De Geuser , W. Lefebvre , F. Danoix , F. Vurpillot , B. Forbord , D. Blavette

Thermodynamical properties of nuclear matter undergoing multifragmentation are studied within a simplified version of the statistical model. An exact analytical solution has been found for the grand canonical ensemble. Excluded volume…

Nuclear Theory · Physics 2009-11-06 K. A. Bugaev , M. I. Gorenstein , I. N. Mishustin , W. Greiner

The energy transition entails a rapid uptake of renewable energy sources. Besides physical changes within the grid infrastructure, energy storage devices and their smart operation are key measures to master the resulting challenges like,…

Optimization and Control · Mathematics 2019-11-13 Manuel Baumann , Sara Grundel , Philipp Sauerteig , Karl Worthmann

We present a novel diffractive imaging method that harnesses a low-resolution real-space image to guide the phase retrieval. A computational algorithm is developed to utilize such prior knowledge as a real-space constraint in the iterative…

Optics · Physics 2020-10-27 Po-Nan Li , Soichi Wakatsuki , Piero A. Pianetta , Yijin Liu

A recently proposed nearest neighbor based selection of time delays for phase space reconstruction is extended to multivariate time series, with an iterative selection of variables and time delays. A case study of numerically generated…

Chaotic Dynamics · Physics 2007-05-23 Sara P. Garcia , Jonas S. Almeida

Solvable supersymmetric algebraic model for descriptions of the spherical to gama unstable shape- phase transition in even and odd mass nuclei is proposed. This model is based on dual algebraic structure and Richardson - Gaudin method,…

Nuclear Theory · Physics 2016-02-23 M. A. Jafarizadeh , M. Ghapanvari , N. Fouladi , Z. Ranjbar , A. Sadighzadeh