Accurate projection methods for the incompressible Navier—Stokes equations
Journal of Computational Physics
A semi-Lagrangian high-order method for Navier-Stokes equations
Journal of Computational Physics
A second-order-accurate symmetric discretization of the Poisson equation on irregular domains
Journal of Computational Physics
Iterative Methods for Sparse Linear Systems
Iterative Methods for Sparse Linear Systems
A partial differential equation approach to multidimensional extrapolation
Journal of Computational Physics
A node-centered local refinement algorithm for Poisson's equation in complex geometries
Journal of Computational Physics
Proteus: a direct forcing method in the simulations of particulate flows
Journal of Computational Physics
The numerical approximation of a delta function with application to level set methods
Journal of Computational Physics
Journal of Computational Physics
A fast variational framework for accurate solid-fluid coupling
ACM SIGGRAPH 2007 papers
A second order accurate level set method on non-graded adaptive cartesian grids
Journal of Computational Physics
Two-way coupling of fluids to rigid and deformable solids and shells
ACM SIGGRAPH 2008 papers
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Finite difference methods for approximating Heaviside functions
Journal of Computational Physics
An efficient fluid-solid coupling algorithm for single-phase flows
Journal of Computational Physics
Journal of Scientific Computing
A symmetric positive definite formulation for monolithic fluid structure interaction
Journal of Computational Physics
Fluid-structure coupling using lattice-Boltzmann and fixed-grid FEM
Finite Elements in Analysis and Design
Hi-index | 31.45 |
We introduce a robust and efficient method to simulate strongly coupled (monolithic) fluid/rigid-body interactions. We take a fractional step approach, where the intermediate state variables of the fluid and of the solid are solved independently, before their interactions are enforced via a projection step. The projection step produces a symmetric positive definite linear system that can be efficiently solved using the preconditioned conjugate gradient method. In particular, we show how one can use the standard preconditioner used in standard fluid simulations to precondition the linear system associated with the projection step of our fluid/solid algorithm. Overall, the computational time to solve the projection step of our fluid/solid algorithm is similar to the time needed to solve the standard fluid-only projection step. The monolithic treatment results in a stable projection step, i.e. the kinetic energy does not increase in the projection step. Numerical results indicate that the method is second-order accurate in the L^~-norm and demonstrate that its solutions agree quantitatively with experimental results.