179 citations · 271 across the 15 of their papers we have counts for
16 papers
Accelerating phase-field simulations on exascale computing systems for faster-than-real-time precipitate aging predictions
Stephen DeWitt, David J. Gardner, Philip Fackler +4
Three-dimensional phase-field simulations are a gold-standard for microstructure prediction for materials, but their computational cost often limits application-relevant calculatio…
Materials Behavior as Mechanism Ensembles: A Probabilistic Framework for Emergent Behaviors
Brad L. Boyce, Mitchell A. Wood, Krishna Garikipati +16
Materials behavior is often treated as a deterministic mapping from structure to properties, yet many important phenomena emerge from the conditional activation of multiple mechani…
MagneX: A High-Performance, GPU-Enabled, Data-Driven Micromagnetics Solver for Spintronics
Andy Nonaka, Yingheng Tang, Julian C. LePelch +7
In order to comprehensively investigate the multiphysics coupling in spintronic devices, it is essential to parallelize and utilize GPU-acceleration to address the spatial and temp…
New Time Integrators and Capabilities in SUNDIALS Versions 6.2.0-7.4.0
Steven B. Roberts, Mustafa Ağgül, Daniel R. Reynolds +3
SUNDIALS is a well-established numerical library that provides robust and efficient time integrators and nonlinear solvers. This paper overviews several significant improvements an…
Advancing Simulations of Coupled Electron and Phonon Nonequilibrium Dynamics Using Adaptive and Multirate Time Integration
Jia Yao, Ivan Maliyov, David J. Gardner +2
Electronic structure calculations in the time domain provide a deeper understanding of nonequilibrium dynamics in materials. The real-time Boltzmann equation (rt-BTE), used in conj…
Towards the Use of Anderson Acceleration in Coupled Transport-Gyrokinetic Turbulence Simulations
David J. Gardner, Lynda L. LoDestro, Carol S. Woodward
Predicting the behavior of a magnetically confined fusion plasma over long time periods requires methods that can bridge the difference between transport and turbulent time scales.…
SUNDIALS Time Integrators for Exascale Applications with Many Independent ODE Systems
Cody J. Balos, Marc Day, Lucas Esclapez +8
Many complex systems can be accurately modeled as a set of coupled time-dependent partial differential equations (PDEs). However, solving such equations can be prohibitively expens…
Adaptive Time Stepping for the Two-Time Integro-Differential Kadanoff-Baym Equations
Thomas Blommel, David J. Gardner, Carol S. Woodward +1
The non-equilibrium Green's function gives access to one-body observables for quantum systems. Of particular interest are quantities such as density, currents, and absorption spect…
Leveraging Mixed Precision in Exponential Time Integration Methods
Cody J. Balos, Steven Roberts, David J. Gardner
The machine learning explosion has created a prominent trend in modern computer hardware towards low precision floating-point operations. In response, there have been growing effor…
Performance of explicit and IMEX MRI multirate methods on complex reactive flow problems within modern parallel adaptive structured grid frameworks
John J. Loffeld, Andy Nonaka, Daniel R. Reynolds +2
Large-scale multiphysics simulations are computationally challenging due to the coupling of multiple processes with widely disparate time scales. The advent of exascale computing s…
ARKODE: a flexible IVP solver infrastructure for one-step methods
Daniel R. Reynolds, David J. Gardner, Carol S. Woodward +1
We describe the ARKODE library of one-step time integration methods for ordinary differential equation (ODE) initial-value problems (IVPs). In addition to providing standard explic…
Performance of Low Synchronization Orthogonalization Methods in Anderson Accelerated Fixed Point Solvers
Shelby Lockhart, David J. Gardner, Carol S. Woodward +2
Anderson Acceleration (AA) is a method to accelerate the convergence of fixed point iterations for nonlinear, algebraic systems of equations. Due to the requirement of solving a le…
Enabling GPU Accelerated Computing in the SUNDIALS Time Integration Library
Cody J. Balos, David J. Gardner, Carol S. Woodward +1
As part of the Exascale Computing Project (ECP), a recent focus of development efforts for the SUite of Nonlinear and DIfferential/ALgebraic equation Solvers (SUNDIALS) has been to…
Enabling New Flexibility in the SUNDIALS Suite of Nonlinear and Differential/Algebraic Equation Solvers
David J. Gardner, Daniel R. Reynolds, Carol S. Woodward +1
In recent years, the SUite of Nonlinear and DIfferential/ALgebraic equation Solvers (SUNDIALS) has been redesigned to better enable the use of application-specific and third-party…
SUNDIALS Multiphysics+MPIManyVector Performance Testing
Daniel R. Reynolds, David J. Gardner, Cody J. Balos +1
In this report we document performance test results on a SUNDIALS-based multiphysics demonstration application. We aim to assess the large-scale parallel performance of new capabil…
Bistability in a simple fluid network due to viscosity contrast
John B. Geddes, Brian D. Storey, David Gardner +1
We study the existence of multiple equilibrium states in a simple fluid network using Newtonian fluids and laminar flow. We demonstrate theoretically the presence of hysteresis and…