A computational model of aquatic animal locomotion
Journal of Computational Physics
A flexible inner-outer preconditioned GMRES algorithm
SIAM Journal on Scientific Computing
Efficient management of parallelism in object-oriented numerical software libraries
Modern software tools for scientific computing
An adaptive version of the immersed boundary method
Journal of Computational Physics
Active control and drag optimization for flow past a circular cylinder
Journal of Computational Physics
Accurate projection methods for the incompressible Navier—Stokes equations
Journal of Computational Physics
The immersed interface method for the Navier-Stokes equations with singular forces
Journal of Computational Physics
Journal of Computational Physics
Divergence- and curl-preserving prolongation and restriction formulas
Journal of Computational Physics
hypre: A Library of High Performance Preconditioners
ICCS '02 Proceedings of the International Conference on Computational Science-Part III
An Immersed Interface Method for Incompressible Navier-Stokes Equations
SIAM Journal on Scientific Computing
A fast computation technique for the direct numerical simulation of rigid particulate flows
Journal of Computational Physics
Journal of Computational Physics
SIAM Journal on Scientific Computing
Managing complex data and geometry in parallel structured AMR applications
Engineering with Computers
libMesh: a C++ library for parallel adaptive mesh refinement/coarsening simulations
Engineering with Computers
An adaptive, formally second order accurate version of the immersed boundary method
Journal of Computational Physics
Accurate monotonicity- and extrema-preserving methods through adaptive nonlinear hybridizations
Journal of Computational Physics
The immersed boundary method: A projection approach
Journal of Computational Physics
A fixed-mesh method for incompressible flow-structure systems with finite solid deformations
Journal of Computational Physics
A new mathematical formulation and fast algorithm for fully resolved simulation of self-propulsion
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Local adaptive mesh refinement for shock hydrodynamics
Journal of Computational Physics
Modeling and simulation of fish-like swimming
Journal of Computational Physics
An immersed boundary energy-based method for incompressible viscoelasticity
Journal of Computational Physics
Journal of Computational Physics
An immersed boundary method for two-fluid mixtures
Journal of Computational Physics
Hi-index | 31.46 |
Many problems of interest in biological fluid mechanics involve interactions between fluids and solids that require the coupled solution of momentum equations for both the fluid and the solid. In this work, we develop a mathematical framework and an adaptive numerical method for such fluid-structure interaction (FSI) problems in which the structure may be rigid, deforming, or elastic. We employ an immersed boundary (IB) formulation of the problem that permits us to avoid body conforming discretizations and to use fast Cartesian grid solvers. Rigidity and deformational kinematic constraints are imposed using a formulation based on distributed Lagrange multipliers, and a conventional IB method is used to describe the elasticity of the immersed body. We use Cartesian grid adaptive mesh refinement (AMR) to discretize the equations of motion and thereby obtain a solution methodology that efficiently captures thin boundary layers at fluid-solid interfaces as well as flow structures shed from such interfaces. This adaptive methodology is validated for several benchmark problems in two and three spatial dimensions. In addition, we use this scheme to simulate free swimming, including the maneuvering of a two-dimensional model eel and a three-dimensional model of the weakly electric black ghost knifefish.