论文标题
关于涉及可压缩流体的流体结构相互作用的数值近似
On numerical approximations to fluid-structure interactions involving compressible fluids
论文作者
论文摘要
在本文中，我们引入了一个数值方案，用于在两个或三个空间尺寸中的流体结构相互作用问题：柔性弹性板与粘性，可压缩的正压流体相互作用。因此，定义的物理领域（Eulerian坐标的域）在时间变化。我们引入了一个完全离散的方案，该方案稳定，满足几何保护，质量保护和密度的阳性。我们还证明该方案与连续弱解决方案的定义一致。
In this paper we introduce a numerical scheme for fluid-structure interaction problems in two or three space dimensions: A flexible elastic plate is interacting with a viscous, compressible barotropic fluid. Hence the physical domain of definition (the domain of Eulerian coordinates) is changing in time. We introduce a fully discrete scheme that is stable, satisfies geometric conservation, mass conservation and the positivity of the density. We also prove that the scheme is consistent with the definition of continuous weak solutions.
