activity
20242026
collaborators

13 papers

math.NA2026

Coupling-Aware Vanka Smoothing for Multigrid Preconditioning of the Implicit Immersed Boundary Equations

Cole Gruninger, Boyce E. Griffith

The immersed boundary (IB) method models fluid--structure interaction using the natural Lagrangian and Eulerian formulations of structural mechanics and fluid dynamics, respectivel…

math.NA2026

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…

math.NA2026

Composite B-Spline Current Deposition and Interpolation Operators for Thin-Wire Finite-Difference Time-Domain Simulations

Cole Gruninger, Boyce E. Griffith

Holland-Simpson thin-wire finite-difference time-domain (FDTD) simulations of obliquely oriented closed-loop antennas exhibit persistent low-frequency parasitic currents because th…

math.NA2026

An immersed peridynamics method for fluid-driven damage and failure of anisotropic materials

Keon Ho Kim, Boyce E. Griffith

The immersed peridynamics (IPD) method is a fluid-structure interaction (FSI) model to simulate fluid-driven material damage and failure of an immersed structure, in which a peridy…

physics.flu-dyn2026

An Immersed Interface Method for Incompressible Flows and Near Contact

Michael J. Facci, Qi Sun, Boyce E. Griffith

We present an enhanced immersed interface method for simulating incompressible fluid flows in thin gaps between closely spaced immersed boundaries. This regime, common in engineere…

math.NA2026

A Pressure-Robust Immersed Interface Method for Discrete Surfaces

Michael J. Facci, Qi Sun, Boyce E. Griffith

The immersed interface method (IIM) for fluid-structure interaction imposes discontinuities in the fluid stress along immersed boundaries that are generated by forces concentrated…