Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Multicomponent flow calculations by a consistent primitive algorithm
Journal of Computational Physics
A second-order accurate capturing scheme for 1D inviscid flows of gas and water with vacuum zones
Journal of Computational Physics
A high-order Godunov method for multiple condensed phases
Journal of Computational Physics
A Riemann problem based method for the resolution of compressible multimaterial flows
Journal of Computational Physics
The fast construction of extension velocities in level set methods
Journal of Computational Physics
A second-order Godunov method for wave problems in coupled solid-water-gas systems
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
A numerical method for two-phase flow consisting of separate compressible and incompressible regions
Journal of Computational Physics
Computations of compressible multifluids
Journal of Computational Physics
Coupling an Eulerian fluid calculation to a Lagrangian solid calculation with the ghost fluid method
Journal of Computational Physics
A level set approach to Eulerian-Lagrangian coupling
Journal of Computational Physics
Journal of Computational Physics
Journal of Scientific Computing
Ghost fluid method for strong shock impacting on material interface
Journal of Computational Physics
First-order system least squares (FOSLS) for coupled fluid-elastic problems
Journal of Computational Physics
Isentropic one-fluid modelling of unsteady cavitating flow
Journal of Computational Physics
The ghost fluid method for compressible gas-water simulation
Journal of Computational Physics
A Real Ghost Fluid Method for the Simulation of Multimedium Compressible Flow
SIAM Journal on Scientific Computing
Adaptive characteristics-based matching for compressible multifluid dynamics
Journal of Computational Physics
The accuracy of the modified ghost fluid method for gas--gas Riemann problem
Applied Numerical Mathematics
SIAM Journal on Scientific Computing
Hi-index | 0.00 |
In this work, we deal with the 1D compressible fluid coupled with elastic solid in an Eulerian-Lagrangian system. To facilitate the analysis, the Naviers equation for elastic solid is cast into a 2脳2 system similar to the Euler equation but in Lagrangian coordinate. The modified Ghost Fluid Method is employed to treat the fluid-elastic solid coupling, where an Eulerian-Lagrangian Riemann problem is defined and a nonlinear characteristic from the fluid and a Riemann invariant from the solid are used to predict and define the ghost fluid states. Theoretical analysis shows that the present approach is accurate in the sense of approximating the solution of the Riemann problem at the interface. Numerical validation of this approach is also accomplished by extensive comparison to 1D problems (both water-solid and gas-solid) with their respective analytical solutions.