164 citations · 646 across the 18 of their papers we have counts for
6 papers · 1 filter
Flash-X, a multiphysics simulation software instrument
Anshu Dubey, Klaus Weide, Jared O'Neal +28
Flash-X is a highly composable multiphysics software system that can be used to simulate physical phenomena in several scientific domains. It derives some of its solvers from FLASH…
A single-step third-order temporal discretization with Jacobian-free and Hessian-free formulations for finite difference methods
Youngjun Lee, Dongwook Lee
Discrete updates of numerical partial differential equations (PDEs) rely on two branches of temporal integration. The first branch is the widely-adopted, traditionally popular appr…
A variable high-order shock-capturing finite difference method with GP-WENO
Adam Reyes, Dongwook Lee, Carlo Graziani +1
We present a new finite difference shock-capturing scheme for hyperbolic equations on static uniform grids. The method provides selectable high-order accuracy by employing a kernel…
A New Class of High-Order Methods for Fluid Dynamics Simulations using Gaussian Process Modeling
Adam Reyes, Dongwook Lee, Carlo Graziani +1
We introduce an entirely new class of high-order methods for computational fluid dynamics (CFD) based on the Gaussian Process (GP) family of stochastic functions. Our approach is t…
The Piecewise Cubic Method (PCM) for Computational Fluid Dynamics
Dongwook Lee, Hugues Faller, Adam Reyes
We present a new high-order finite volume reconstruction method for hyperbolic conservation laws. The method is based on a piecewise cubic polynomial which provides its solutions a…
A Solution Accurate, Efficient and Stable Unsplit Staggered Mesh Scheme for Three Dimensional Magnetohydrodynamics
Dongwook Lee
In this paper, we extend the unsplit staggered mesh scheme (USM) for 2D magnetohydrodynamics (MHD) (Lee and Deane, 2009) to a full 3D MHD scheme. The scheme is a finite-volume Godu…