Numerically stable fluid-structure interactions between compressible flow and solid structures

摘要: We propose a novel method to implicitly two-way couple Eulerian compressible flow volumetric Lagrangian solids. The works for both deformable and rigid solids arbitrary equations of state. exploits the formulation [11] which solves fluid in semi-implicit manner, solving advection part explicitly then correcting intermediate state time t^n^+^1 using an implicit pressure, obtained by modified Poisson system. Similar previous fluid-structure interaction methods, we apply pressure forces solid enforce velocity boundary condition on order satisfy no-slip constraint. Unlike however, these coupled interactions adding constraint system combining it with any obtain strongly coupled, symmetric indefinite (similar [17], only handles incompressible flow). also show that, under few reasonable assumptions, this can be made positive-definite following methodology [16]. Because our implicitly, avoid introducing new step restrictions stable results even high density-to-mass ratios, where explicit methods struggle or fail. exactly conserve momentum kinetic energy (thermal are not considered) at interface, hence naturally handle highly non-linear phenomenon such as shocks, contacts rarefactions.