A computational model of aquatic animal locomotion
Journal of Computational Physics
Spectral methods for the Navier-Stokes equations with one infinite and two periodic directions
Journal of Computational Physics
A numerical method for suspension flow
Journal of Computational Physics
SIAM Journal on Numerical Analysis
A level set formulation of Eulerian interface capturing methods for incompressible fluid flows
Journal of Computational Physics
Immersed Interface Methods for Stokes Flow with Elastic Boundaries or Surface Tension
SIAM Journal on Scientific Computing
An arbitrary Lagrangian-Eulerian computing method for all flow speeds
Journal of Computational Physics - Special issue: commenoration of the 30th anniversary
Journal of Computational Physics
An adaptive version of the immersed boundary method
Journal of Computational Physics
An immersed boundary method with formal second-order accuracy and reduced numerical viscosity
Journal of Computational Physics
A Cartesian grid embedded boundary method for the heat equation on irregular domains
Journal of Computational Physics
Journal of Computational Physics
A sharp interface Cartesian Ggid method for simulating flows with complex moving boundaries: 345
Journal of Computational Physics
An immersed-boundary finite-volume method for simulations of flow in complex geometries
Journal of Computational Physics
A Virtual Test Facility for the Simulation of Dynamic Response in Materials
The Journal of Supercomputing
Journal of Computational Physics
Symmetry-preserving discretization of turbulent flow
Journal of Computational Physics
An Immersed Interface Method for Incompressible Navier-Stokes Equations
SIAM Journal on Scientific Computing
Simulating water and smoke with an octree data structure
ACM SIGGRAPH 2004 Papers
A DLM/FD method for fluid/flexible-body interactions
Journal of Computational Physics
SIAM Journal on Scientific Computing
Conservative load transfer along curved fluid-solid interface with non-matching meshes
Journal of Computational Physics
The immersed boundary method: A projection approach
Journal of Computational Physics
Geometric integration over irregular domains with application to level-set methods
Journal of Computational Physics
The fixed-mesh ALE approach for the numerical approximation of flows in moving domains
Journal of Computational Physics
DNS of buoyancy-dominated turbulent flows on a bluff body using the immersed boundary method
Journal of Computational Physics
Prediction of wall-pressure fluctuation in turbulent flows with an immersed boundary method
Journal of Computational Physics
A full Eulerian finite difference approach for solving fluid-structure coupling problems
Journal of Computational Physics
A symmetric positive definite formulation for monolithic fluid structure interaction
Journal of Computational Physics
An improved penalty immersed boundary method for fluid-flexible body interaction
Journal of Computational Physics
Journal of Computational Physics
An enhanced Immersed Structural Potential Method for fluid-structure interaction
Journal of Computational Physics
Journal of Computational Physics
Hi-index | 31.50 |
A fixed-mesh algorithm is proposed for simulating flow-structure interactions such as those occurring in biological systems, in which both the fluid and solid are incompressible and the solid deformations are large. Several of the well-known difficulties in simulating such flow-structure interactions are avoided by formulating a single set of equations of motion on a fixed Eulerian mesh. The solid's deformation is tracked to compute elastic stresses by an overlapping Lagrangian mesh. In this way, the flow-structure interaction is formulated as a distributed body force and singular surface force acting on an otherwise purely fluid system. These forces, which depend on the solid elastic stress distribution, are computed on the Lagrangian mesh by a standard finite-element method and then transferred to the fixed Eulerian mesh, where the joint momentum and continuity equations are solved by a finite-difference method. The constitutive model for the solid can be quite general. For the force transfer, standard immersed-boundary and immersed-interface methods can be used and are demonstrated. We have also developed and demonstrated a new projection method that unifies the transfer of the surface and body forces in a way that exactly conserves momentum; the interface is still effectively sharp for this approach. The spatial convergence of the method is observed to be between first- and second-order, as in most immersed-boundary methods for membrane flows. The algorithm is demonstrated by the simulations of an advected elastic disk, a flexible leaflet in an oscillating flow, and a model of a swimming jellyfish.