Errors for calculations of strong shocks using an artificial viscosity and artificial heat flux
Journal of Computational Physics
Efficient implementation of essentially non-oscillatory shock-capturing schemes
Journal of Computational Physics
Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Efficient implementation of essentially non-oscillatory shock-capturing schemes,II
Journal of Computational Physics
Geometric and solid modeling: an introduction
Geometric and solid modeling: an introduction
Computing interface motion in compressible gas dynamics
Journal of Computational Physics
Computational methods in Lagrangian and Eulerian hydrocodes
Computer Methods in Applied Mechanics and Engineering
A level set approach for computing solutions to incompressible two-phase flow
Journal of Computational Physics
An adaptive Cartesian grid method for unsteady compressible flow in irregular regions
Journal of Computational Physics
Level set methods applied to modeling detonation shock dynamics
Journal of Computational Physics
A two-dimensional conservation laws scheme for compressible flows with moving boundaries
Journal of Computational Physics
A higher-order boundary treatment for Cartesian-Grid method
Journal of Computational Physics
Formulations of artificial viscosity for multi-dimensional shock wave computations
Journal of Computational Physics
The fast construction of extension velocities in level set methods
Journal of Computational Physics
A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
Journal of Computational Physics
The ghost fluid method for deflagration and detonation discontinuities
Journal of Computational Physics
A virtual test facility for simulating the dynamic response of materials
Computing in Science and Engineering
Combined immmersed-boundary finite-difference methods for three-dimensional complex flow simulations
Journal of Computational Physics
A numerical method for two-phase flow consisting of separate compressible and incompressible regions
Journal of Computational Physics
Journal of Computational Physics
Numerical Methods for Engineers: With Programming and Software Applications
Numerical Methods for Engineers: With Programming and Software Applications
Coupling an Eulerian fluid calculation to a Lagrangian solid calculation with the ghost fluid method
Journal of Computational Physics
An interface interaction method for compressible multifluids
Journal of Computational Physics
A conservative interface method for compressible flows
Journal of Computational Physics
An adaptive ghost fluid finite volume method for compressible gas-water simulations
Journal of Computational Physics
Journal of Scientific Computing
A Lagrangian-Eulerian shell-fluid coupling algorithm based on level sets
Computers and Structures
Stochastic Eulerian Lagrangian methods for fluid-structure interactions with thermal fluctuations
Journal of Computational Physics
Numerically stable fluid-structure interactions between compressible flow and solid structures
Journal of Computational Physics
A high order moving boundary treatment for compressible inviscid flows
Journal of Computational Physics
Deforming composite grids for solving fluid structure problems
Journal of Computational Physics
An accurate moving boundary formulation in cut-cell methods
Journal of Computational Physics
An Eulerian-Lagrangian moving immersed interface method for simulating burning solids
Journal of Computational Physics
Hi-index | 31.49 |
We present a numerical method for coupling an Eulerian compressible flow solver with a Lagrangian solver for fast transient problems involving fluid-solid interactions. Such coupling needs arise when either specific solution methods or accuracy considerations necessitate that different and disjoint subdomains be treated with different (Eulerian or Lagrangian) schemes. The algorithm we propose employs standard integration of the Eulerian solution over a Cartesian mesh. To treat the irregular boundary cells that are generated by an arbitrary boundary on a structured grid, the Eulerian computational domain is augmented by a thin layer of Cartesian ghost cells. Boundary conditions at these cells are established by enforcing conservation of mass and continuity of the stress tensor in the direction normal to the boundary. The description and the kinematic constraints of the Eulerian boundary rely on the unstructured Lagrangian mesh. The Lagrangian mesh evolves concurrently, driven by the traction boundary conditions imposed by the Eulerian counterpart. Several numerical tests designed to measure the rate of Convergence and accuracy of the coupling algorithm are presented as well. General problems in one and two dimensions are considered, including a test consisting of an isotropic elastic solid and a compressible fluid in a fully coupled setting where the exact solution is available.