A unified approach to monolithic solid-fluid coupling of sub-grid and more resolved solids
| Autor: | Ronald Fedkiw, David A. B. Hyde |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Numerical Analysis
Physics and Astronomy (miscellaneous) Computer science Applied Mathematics 010103 numerical & computational mathematics Mechanics Grid 01 natural sciences Computer Science Applications 010101 applied mathematics Computational Mathematics Boundary layer Exact solutions in general relativity Neutral buoyancy Incompressible flow Drag Modeling and Simulation 0101 mathematics Ansatz Interpolation |
| Zdroj: | Journal of Computational Physics. 390:490-526 |
| ISSN: | 0021-9991 |
| DOI: | 10.1016/j.jcp.2019.03.049 |
| Popis: | We present a novel numerical approach to monolithic two-way fluid-structure interaction. Our formulation applies to both sub-grid solids that may be significantly smaller than a single computational grid cell as well as more resolved solid bodies. Importantly, we remove the non-physical ansatz of velocity equilibration for sub-grid bodies, allowing for physically accurate behavior even though the boundary layer is drastically under-resolved or typically even completely absent. Instead, we obtain closure by incorporating a physical model for drag. Our coupling system has numerically advantageous properties, including symmetric positive-definiteness, and is extensible to various interpolation schemes, enabling it to capture the exact solution in the case of neutral buoyancy. We provide a number of numerical examples illuminating the advantages and limitations of our approach. We close with remarks about future possibilities for pursuing advanced sub-grid modeling as well as incorporating machine learning techniques into drag modeling. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect