A time semi-implicit scheme for the energy-balanced coupling of a shocked fluid flow with a deformable structure

作者：Puscas Maria Adela^*; Monasse Laurent; Ern Alexandre; Tenaud Christian; Mariotti Christian; Daru Virginie

来源：Journal of Computational Physics, 2015, 296: 241-262.

DOI：10.1016/j.jcp.2015.04.012

• Fluid-structure interaction
• Finite volume
• Immersed boundary
• Conservative method
• Energy preservation

The objective of this work is to present a conservative coupling method between an inviscid compressible fluid and a deformable structure undergoing large displacements. The coupling method combines a cut-cell Finite Volume method, which is exactly conservative in the fluid, and a symplectic Discrete Element method for the deformable structure. A time semi-implicit approach is used for the computation of momentum and energy transfer between fluid and solid, the transfer being exactly balanced. The coupling method is exactly mass-conservative (up to round-off errors in the geometry of cut-cells) and exhibits numerically a long-time energy-preservation for the coupled system. The coupling method also exhibits consistency properties, such as conservation of uniform movement of both fluid and solid, absence of numerical roughness on a straight boundary, and preservation of a constant fluid state around a wall having tangential deformation velocity. The performance of the method is assessed on test cases involving shocked fluid flows interacting with two and three-dimensional deformable solids undergoing large displacements.

• 出版日期2015-9-1
• 单位中国地震局