30 citations · 92 across the 10 of their papers we have counts for
12 papers
WING: A Simple Windowed Nonorthogonalized Initial Guess Procedure for Repeated Matrix Solves
David Wells, Matthew G. Knepley, Boyce E. Griffith
Many numerical methods require solution of a sequence of linear systems with the same matrix and similar right-hand sides. Krylov subspace methods are a common tool for solving suc…
Simulating Cardiac Fluid Dynamics in the Human Heart
Marshall Davey, Charles Puelz, Simone Rossi +7
Cardiac fluid dynamics fundamentally involves interactions between complex blood flows and the structural deformations of the muscular heart walls and the thin, flexible valve leaf…
A sharp interface Lagrangian-Eulerian method for flexible-body fluid-structure interaction
Ebrahim M. Kolahdouz, David R. Wells, Simone Rossi +3
This paper introduces a sharp-interface approach to simulating fluid-structure interaction involving flexible bodies described by general nonlinear material models and across a bro…
A Nodal Immersed Finite Element-Finite Difference Method
David Wells, Ben Vadala-Roth, Jae H. Lee +1
The immersed finite element-finite difference (IFED) method is a computational approach to modeling interactions between a fluid and an immersed structure. This method uses a finit…
Reduced Order Models for the Quasi-Geostrophic Equations: A Brief Survey
Changhong Mou, Zhu Wang, David R. Wells +2
Reduced order models (ROMs) are computational models whose dimension is significantly lower than those obtained through classical numerical discretizations (e.g., finite element, f…
Data-Driven Correction Reduced Order Models for the Quasi-Geostrophic Equations: A Numerical Investigation
Changhong Mou, Honghu Liu, David R. Wells +1
This paper investigates the recently introduced data-driven correction reduced order model (DDC-ROM) in the numerical simulation of the quasi-geostrophic equations. The DDC-ROM use…
Using p-Refinement to Increase Boundary Derivative Convergence Rates
David Wells, Jeffrey Banks
Many important physical problems, such as fluid structure interaction or conjugate heat transfer, require numerical methods that compute boundary derivatives or fluxes to high accu…
Numerical Analysis of the Leray Reduced Order Model
Xuping Xie, David Wells, Zhu Wang +1
Standard ROMs generally yield spurious numerical oscillations in the simulation of convection-dominated flows. Regularized ROMs use explicit ROM spatial filtering to decrease these…
Approximate Deconvolution Reduced Order Modeling
Xuping Xie, David Wells, Zhu Wang +1
This paper proposes a large eddy simulation reduced order model(LES-ROM) framework for the numerical simulation of realistic flows. In this LES-ROM framework, the proper orthogonal…
An Evolve-Then-Filter Regularized Reduced Order Model
David Wells, Zhu Wang, Xuping Xie +1
In this paper, we propose a new evolve-then-filter reduced order model (EF-ROM). This is a regularized ROM (Reg-ROM), which aims at the numerical stabilization of proper orthogonal…
A Conforming Finite Element Discretization of the Streamfunction Form of the Unsteady Quasi-Geostrophic Equations
Erich L Foster, Traian Iliescu, David R. Wells
This paper presents a conforming finite element semi-discretization of the streamfunction form of the one-layer unsteady quasi-geostrophic equations, which are a commonly used mode…
A Two-Level Finite Element Discretization of the Streamfunction Formulation of the Stationary Quasi-Geostrophic Equations of the Ocean
Erich L Foster, Traian Iliescu, David Wells
In this paper we proposed a two-level finite element discretization of the nonlinear stationary quasi-geostrophic equations, which model the wind driven large scale ocean circulati…