论文标题
从准压缩到半压缩流体
From quasi-incompressible to semi-compressible fluids
论文作者
论文摘要
引入了一种新的半压缩流体概念，用于略微可压缩的粘弹性流体（通常是液体而不是气体），其中质量密度变化在某种意义上可以忽略不计，而与弹性体积模量相比，这是很小的压力。设计了具有特定压力波速度的特定分散的物理一致的完全欧拉模型。这与所谓的准压缩流体形成鲜明对比，这些流体在物理上并不始终如一，实际上仅在极限内仅近似理想的不可压缩的流体。在测量和修改了准压缩流体的模型之后，我们最终设计了一些符合能量保护的完全对流模型，并捕获现象作为压力波的传播，并具有波长（甚至可能是压力）依赖性速度。
A new concept of semi-compressible fluids is introduced for slightly compressible visco-elastic fluids (typically rather liquids than gasses) where mass density variations are negligible in some sense, while being directly controlled by pressure which is very small in comparison with the elastic bulk modulus. The physically consistent fully Eulerian models with specific dispersion of pressure-wave speed are devised. This contrasts to the so-called quasi-incompressible fluids which are described not physically consistently and, in fact, only approximate ideally incompressible ones in the limit. After surveying and modifying models for the quasi-incompressible fluids, we eventually devise some fully convective models complying with energy conservation and capturing phenomena as pressure-wave propagation with wave-length (and possibly also pressure) dependent velocity.
