56 citations · 62 across the 6 of their papers we have counts for
9 papers
Numerical analysis of a hybrid method for radiation transport
Andrés Galindo-Olarte, Victor P. DeCaria, Cory D. Hauck
In this work, we prove rigorous error estimates for a hybrid method introduced in [15] for solving the time-dependent radiation transport equation (RTE). The method relies on a spl…
Asymptotic Preserving Discontinuous Galerkin Methods for a Linear Boltzmann Semiconductor Model
Victor DeCaria, Cory Hauck, Stefan Schnake
A key property of the linear Boltzmann semiconductor model is that as the collision frequency tends to infinity, the phase space density converges to an isotropic fu…
A general linear method approach to the design and optimization of efficient, accurate, and easily implemented time-stepping methods in CFD
Victor DeCaria, Sigal Gottlieb, Zachary J. Grant +1
In simulations of fluid motion time accuracy has proven to be elusive. We seek highly accurate methods with strong enough stability properties to deal with the richness of scales o…
Analysis of a new implicit solver for a semiconductor model
Victor P. DeCaria, Cory D. Hauck, M. Paul Laiu
We present and analyze a new iterative solver for implicit discretizations of a simplified Boltzmann-Poisson system. The algorithm builds on recent work that incorporated a sweepin…
An embedded variable step IMEX scheme for the incompressible Navier-Stokes equations
Victor DeCaria, Michael Schneier
This report presents a series of implicit-explicit (IMEX) variable timestep algorithms for the incompressible Navier-Stokes equations (NSE). With the advent of new computer archite…
An Artificial Compression Reduced Order Model
Victor DeCaria, Traian Iliescu, William Layton +2
We propose a novel artificial compression, reduced order model (AC-ROM) for the numerical simulation of viscous incompressible fluid flows. The new AC-ROM provides approximations n…
A new embedded variable stepsize, variable order family of low computational complexity
Victor DeCaria, Ahmet Guzel, William Layton +1
Variable Stepsize Variable Order (VSVO) methods are the methods of choice to efficiently solve a wide range of ODEs with minimal work and assured accuracy. However, VSVO methods ha…
A time-accurate, adaptive discretization for fluid flow problems
Victor DeCaria, William Layton, Haiyun Zhao
This report presents a low computational and cognitive complexity, stable, time accurate and adaptive method for the Navier-Stokes equations. The improved method requires a minimal…
On the determination of the grad-div criterion
V. Decaria, W. Layton, A. Pakzad +3
Grad-div stabilization, adding a term -gamma grad div u, has proven to be a useful tool in the simulation of incompressible flows. Such a term requires a choice of the coefficient…