Composite overlapping meshes for the solution of partial differential equations
Journal of Computational Physics
Journal of Computational Physics
Robust Computational Algorithms for Dynamic Interface Tracking in Three Dimensions
SIAM Journal on Scientific Computing
A conservative three-dimensional Eulerian method for coupled solid-fluid shock capturing
Journal of Computational Physics
A level set approach to Eulerian-Lagrangian coupling
Journal of Computational Physics
An adaptive numerical scheme for high-speed reactive flow on overlapping grids
Journal of Computational Physics
A simple package for front tracking
Journal of Computational Physics
Moving overlapping grids with adaptive mesh refinement for high-speed reactive and non-reactive flow
Journal of Computational Physics
Journal of Computational Physics
A High-Order Accurate Parallel Solver for Maxwell’s Equations on Overlapping Grids
SIAM Journal on Scientific Computing
Comparison of various fluid-structure interaction methods for deformable bodies
Computers and Structures
On sub-linear convergence for linearly degenerate waves in capturing schemes
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
A composite grid solver for conjugate heat transfer in fluid-structure systems
Journal of Computational Physics
Journal of Computational Physics
Numerically stable fluid-structure interactions between compressible flow and solid structures
Journal of Computational Physics
A conservative level-set based method for compressible solid/fluid problems on fixed grids
Journal of Computational Physics
Numerical methods for solid mechanics on overlapping grids: Linear elasticity
Journal of Computational Physics
Numerical methods for solid mechanics on overlapping grids: Linear elasticity
Journal of Computational Physics
A hybrid level set-volume constraint method for incompressible two-phase flow
Journal of Computational Physics
Hi-index | 31.46 |
We describe a mixed Eulerian-Lagrangian approach for solving fluid-structure interaction (FSI) problems. The technique, which uses deforming composite grids (DCG), is applied to FSI problems that couple high speed compressible flow with elastic solids. The fluid and solid domains are discretized with composite overlapping grids. Curvilinear grids are aligned with each interface and these grids deform as the interface evolves. The majority of grid points in the fluid domain generally belong to background Cartesian grids which do not move during a simulation. The FSI-DCG approach allows large displacements of the interfaces while retaining high quality grids. Efficiency is obtained through the use of structured grids and Cartesian grids. The governing equations in the fluid and solid domains are evolved in a partitioned approach. We solve the compressible Euler equations in the fluid domains using a high-order Godunov finite-volume scheme. We solve the linear elastodynamic equations in the solid domains using a second-order upwind scheme. We develop interface approximations based on the solution of a fluid-solid Riemann problem that results in a stable scheme even for the difficult case of light solids coupled to heavy fluids. The FSI-DCG approach is verified for three problems with known solutions, an elastic-piston problem, the superseismic shock problem and a deforming diffuser. In addition, a self convergence study is performed for an elastic shock hitting a fluid filled cavity. The overall FSI-DCG scheme is shown to be second-order accurate in the max-norm for smooth solutions, and robust and stable for problems with discontinuous solutions for a wide range of constitutive parameters.