67 citations · 167 across the 20 of their papers we have counts for
21 papers
Multilevel Method with Low-Order Equations of Mixed Types and Two Grids in Photon Energy for Thermal Radiative Transfer
Dmitriy Y. Anistratov, Terry S. Haut
Thermal radiative transfer (TRT) is an essential piece of physics in inertial confinement fusion, high-energy density physics, astrophysics etc. The physical models of this type of…
High-Order Finite Element Second Moment Methods for Linear Transport
Samuel Olivier, Terry S. Haut
We present high-order, finite element-based Second Moment Methods (SMMs) for solving radiation transport problems in two spatial dimensions. We leverage the close connection betwee…
High-Order Mixed Finite Element Variable Eddington Factor Methods
Samuel Olivier, Terry S. Haut
We apply high-order mixed finite element discretization techniques and their associated preconditioned iterative solvers to the Variable Eddington Factor (VEF) equations in two spa…
Multi-level Parareal algorithm with Averaging for Oscillatory Problems
Juliane Rosemeier, Terry Haut, Beth Wingate
The present study is an extension of the work done in Parareal convergence for oscillatory pdes with finite time-scale separation (2019), A. G. Peddle, T. Haut, and B. Wingate, [16…
A Family of Independent Variable Eddington Factor Methods with Efficient Preconditioned Iterative Solvers
Samuel Olivier, Will Pazner, Terry S. Haut +1
We present a family of discretizations for the Variable Eddington Factor (VEF) equations that have high-order accuracy on curved meshes and efficient preconditioned iterative solve…
A short note on the accuracy of the discontinuous Galerkin method with reentrant faces
Will Pazner, Terry Haut
We study the convergence of the discontinuous Galerkin (DG) method applied to the advection-reaction equation on meshes with reentrant faces. On such meshes, the upwind numerical f…
A New Scheme for Solving High-Order DG Discretizations of Thermal Radiative Transfer using the Variable Eddington Factor Method
Ben C. Yee, Samuel S. Olivier, Ben S. Southworth +2
We present a new approach for solving high-order thermal radiative transfer (TRT) using the Variable Eddington Factor (VEF) method (also known as quasidiffusion). Our approach leve…
Data-Driven Acceleration of Thermal Radiation Transfer Calculations with the Dynamic Mode Decomposition and a Sequential Singular Value Decomposition
Ryan G. McClarren, Terry S. Haut
We present a method for accelerating discrete ordinates radiative transfer calculations for radiative transfer. Our method works with nonlinear positivity fixes, in contrast to mos…
Diffusion synthetic acceleration for heterogeneous domains, compatible with voids
Ben S. Southworth, Milan Holec, Terry S. Haut
A standard approach to solving the S transport equations is to use source iteration with diffusion synthetic acceleration (DSA). Although this approach is widely used and effec…
A Quadratic Programming Flux Correction Method for High-Order DG Discretizations of SN Transport
Ben C. Yee, Samuel S. Olivier, Terry S. Haut +3
We present a new flux-fixup approach for arbitrarily high-order discontinuous Galerkin discretizations of the SN transport equation. This approach is sweep-compatible: as the trans…
Acceleration of Source Iteration using the Dynamic Mode Decomposition
Ryan G. McClarren, Terry S. Haut
We present a novel acceleration technique for improving the convergence of source iteration for discrete ordinates transport calculations. Our approach uses the idea of the dynamic…
DSA Preconditioning for DG discretizations of transport and High-Order curved meshes
T. S. Haut, B. S. Southworth, P. G. Maginot +1
This paper derives and analyzes new diffusion synthetic acceleration (DSA) preconditioners for the SN transport equation when discretized with a high-order (HO) discontinuous Galer…
An Efficient Sweep-based Solver for the Equations on High-Order Meshes
T. S. Haut, P. G. Maginot, V. Z. Tomov +3
We propose a graph-based sweep algorithm for solving the steady state, mono-energetic discrete ordinates on meshes of high-order curved mesh elements. Our spatial discretization co…
Model Structural Inference using Local Dynamic Operators
Anthony M. DeGennaro, Nathan M. Urban, Balasubramanya T. Nadiga +1
This paper focuses on the problem of quantifying the effects of model-structure uncertainty in the context of time-evolving dynamical systems. This is motivated by multi-model unce…
Parareal Convergence for Oscillatory PDEs with Finite Time-scale Separation
Adam Peddle, Terry Haut, Beth Wingate
A variant of the Parareal method for highly oscillatory systems of PDEs was proposed by Haut and Wingate (2014). In that work they proved superlinear conver- gence of the method in…
Learning molecular energies using localized graph kernels
G. Ferré, T. Haut, K. Barros
Recent machine learning methods make it possible to model potential energy of atomic configurations with chemical-level accuracy (as calculated from ab-initio calculations) and at…
A new multigroup method for cross-sections that vary rapidly in energy
T. S. Haut, C. Ahrens, A. Jonko +2
We present a numerical method for solving the time-independent thermal radiative transfer (TRT) equation or the neutron transport (NT) equation when the opacity or cross-section va…
A Decentralized Parallelization-in-Time Approach with Parareal
Martin Schreiber, Adam Peddle, Terry Haut +1
With steadily increasing parallelism for high-performance architectures, simulations requiring a good strong scalability are prone to be limited in scalability with standard spatia…
A high-order scheme for solving wave propagation problems via the direct construction of an approximate time-evolution operator
T. S. Haut, T. Babb, P. G. Martinsson +1
The manuscript presents a new technique for computing the exponential of skew-Hermitian operators. Principal advantages of the proposed method include: stability even for large tim…
An asymptotic parallel-in-time method for highly oscillatory PDEs
Terry Haut, Beth Wingate
We present a new time-stepping algorithm for nonlinear PDEs that exhibit scale separation in time. Our scheme combines asymptotic techniques (which are inexpensive but can have ins…
Fast and accurate con-eigenvalue algorithm for optimal rational approximations
T. S. Haut, G. Beylkin
The need to compute small con-eigenvalues and the associated con-eigenvectors of positive-definite Cauchy matrices naturally arises when constructing rational approximations with a…