Fully conservative leak-proof treatment of thin solid structures immersed in compressible fluids

摘要: Abstract We propose a novel high resolution conservative advection scheme that is suitable for thin, embedded moving solid structures. The works by coupling together order flux-based method with semi-Lagrangian solver similar in spirit to of Lentine et al. [26] , but modified treat the cut cells and partial volumes arise near thin structure. unconditionally stable, so unlike previous methods no cell merging required compensate small arise. Furthermore, as via tracing characteristic curves, special treatment either enforce non-penetration through structures, or populate swept uncovered degrees freedom. For solver, we use finite-difference ENO Lax–Friedrich’s diffusion (although any works), doing found modification calculation leads improved stability its third accurate variant. integrate this hybrid into semi-implicit compressible flow modify implicit pressure work variable size. In addition, an improvement new computing post-advected pressure. Finally, integrated fluid–structure number one-dimensional two-dimensional examples are considered—in particular, showing can handle structures grid fully manner, preventing fluid from leaking one side structure other without need volumes.