30 citations · 92 across the 10 of their papers we have counts for
7 papers · 1 filter
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…
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…
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…
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…