30 citations · 45 across the 3 of their papers we have counts for
7 papers
A dynamically load-balanced parallel -adaptive implicit high-order flux reconstruction method for under-resolved turbulence simulation
Lai Wang, Matthias K. Gobbert, Meilin Yu
We present a dynamically load-balanced parallel -adaptive implicit high-order flux reconstruction method for under-resolved turbulence simulation. The high-order explicit firs…
An implicit -multigrid flux reconstruction method for simulation of locally preconditioned unsteady Navier-Stokes equations at low Mach numbers
Lai Wang, Meilin Yu
We develop a -multigrid solver to simulate locally preconditioned unsteady compressible Navier-Stokes equations at low Mach numbers with implicit high-order methods. Specifica…
A distributed active subspace method for scalable surrogate modeling of function valued outputs
Hayley Guy, Alen Alexanderian, Meilin Yu
We present a distributed active subspace method for training surrogate models of complex physical processes with high-dimensional inputs and function valued outputs. Specifically,…
A comparative study of implicit Jacobian-free Rosenbrock-Wanner, ESDIRK and BDF methods for unsteady flow simulation with high-order flux reconstruction formulations
Lai Wang, Meilin Yu
We conduct a comparative study of the Jacobian-free linearly implicit Rosenbrock-Wanner (ROW) methods, the explicit first stage, singly diagonally implicit Runge-Kutta (ESDIRK) met…
Model input and output dimension reduction using Karhunen Loève expansions with application to biotransport
Alen Alexanderian, William Reese, Ralph C. Smith +1
We consider biotransport in tumors with uncertain heterogeneous material properties. Specifically, we focus on the elliptic partial differential equation (PDE) modeling the pressur…
An Implicit High-Order Preconditioned Flux Reconstruction Method for Low-Mach-Number Flow Simulation with Dynamic Meshes
Lai Wang, Meilin Yu
A fully implicit high-order preconditioned flux reconstruction/correction procedure via reconstruction (FR/CPR) method is developed to solve the compressible Navier-Stokes equation…
Derivative-based global sensitivity analysis for models with high-dimensional inputs and functional outputs
Helen L. Cleaves, Alen Alexanderian, Hayley Guy +2
We present a framework for derivative-based global sensitivity analysis (GSA) for models with high-dimensional input parameters and functional outputs. We combine ideas from deriva…