92 citations · 278 across the 9 of their papers we have counts for
4 papers · 1 filter
Scalable smoothing strategies for a geometric multigrid method for the immersed boundary equations
Amneet Pal Singh Bhalla, Matthew G. Knepley, Mark F. Adams +2
The immersed boundary (IB) method is a widely used approach to simulating fluid-structure interaction (FSI). Although explicit versions of the IB method can suffer from severe time…
Immersed Boundary Smooth Extension (IBSE): A high-order method for solving incompressible flows in arbitrary smooth domains
David B. Stein, Robert D. Guy, Becca Thomases
The Immersed Boundary method is a simple, efficient, and robust numerical scheme for solving PDE in general domains, yet for fluid problems it only achieves first-order spatial acc…
Immersed Boundary Smooth Extension: A high-order method for solving PDE on arbitrary smooth domains using Fourier spectral methods
David B. Stein, Robert D. Guy, Becca Thomases
The Immersed Boundary method is a simple, efficient, and robust numerical scheme for solving PDE in general domains, yet it only achieves first-order spatial accuracy near embedded…
Geometric multigrid for an implicit-time immersed boundary method
Robert D. Guy, Bobby Philip, Boyce E. Griffith
The immersed boundary (IB) method is an approach to fluid-structure interaction that uses Lagrangian variables to describe the structure and Eulerian variables to describe the flui…