17 citations · 36 across the 5 of their papers we have counts for
5 papers
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…
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 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…
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…