9 papers · 1 filter
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…
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…
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…
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…
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…
Composite B-Spline Regularized Delta Functions for the Immersed Boundary Method: Divergence-Free Interpolation and Gradient-Preserving Force Spreading
Cole Gruninger, Boyce E. Griffith
This paper presents an approach to enhance volume conservation in the immersed boundary (IB) method by using regularized delta functions derived from composite B-splines. The conve…