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An efficient method for two-fluid incompressible flows appropriate for the immersed boundary method

机译:适用于浸没边界法的两种流体不可压缩流量的有效方法

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摘要

The numerical simulation of two-fluid flows with sharp interfaces is a challenging field, not only because of their complicated physical mechanisms, but also because of increased computational cost. An efficient and robust numerical formulation for incompressible two-fluid flows is proposed. Its novelty is the consistent coupling of Fast Direct Solvers (FDS) with the Immersed Boundary (IB) method to represent solid boundaries. Such a coupling offers several advantages. First, it extends the range of applicability of the IB method. Second, it allows the simulation of practical problems in geometrically complicated domains at a significantly reduced cost. Third, it can shed light on regions of the parametric space which are considered out of reach, or even impossible today.
机译:具有尖锐界面的双流体流动的数值模拟是一个具有挑战性的领域,不仅是因为它们的物理机制复杂,而且因为增加了计算成本。 提出了对不可压缩的两流体流动的有效和稳健的数值配方。 其新奇是快速直接溶剂(FDS)与浸没边界(IB)方法的一致耦合,以表示固体边界。 这种耦合提供了几个优点。 首先,它扩展了IB方法的适用范围。 其次,它允许以显着降低的成本模拟几何复杂结构域中的实际问题。 第三,它可以在参数空间的区域上阐明,这些区域被认为是遥不可及的,甚至不可能。

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