A fully Eulerian finite volume method for the simulation of fluid-structure interactions on AMR enabled quadtree grids. (English) Zbl 1453.65244
Klöfkorn, Robert (ed.) et al., Finite volumes for complex applications IX – methods, theoretical aspects, examples. FVCA 9, Bergen, Norway, June 15–19, 2020. In 2 volumes. Volume I and II. Cham: Springer. Springer Proc. Math. Stat. 323, 765-772 (2020).
The authors propose a finite-volume scheme for solving a single-continuum model of fluid-structure interactions. The numerical Rusanov (Local Lax-Friedrichs) flux is introduced to compute the convective/transport flux. In this formulation, the stabilization is simply performed according to the normal face-center velocity without considering the velocity of the waves which propagate inside the material. The finite volume scheme is stable only for moderately stiff material or for high viscosities. An example of application is presented and detailed.
For the entire collection see [Zbl 1445.65003].
For the entire collection see [Zbl 1445.65003].
Reviewer: Abdallah Bradji (Annaba)
MSC:
| 65M08 | Finite volume methods for initial value and initial-boundary value problems involving PDEs |
| 65N08 | Finite volume methods for boundary value problems involving PDEs |
| 65M06 | Finite difference methods for initial value and initial-boundary value problems involving PDEs |
| 74S10 | Finite volume methods applied to problems in solid mechanics |
| 74B20 | Nonlinear elasticity |
| 74F10 | Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) |
| 65M12 | Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs |
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