3 papers
math.NA2020
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…
math.NA2020
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…
math.NA2020
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…