Conservative finite-volume framework and pressure-based algorithm for flows of incompressible, ideal-gas and real-gas fluids at all speeds
Conservative finite-volume framework and pressure-based algorithm for flows of incompressible, ideal-gas and real-gas fluids at all speeds
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适用于所有速度下不可压缩、理想气体和真实气体流体流动的保守有限体积框架和基于压力的算法
DOI：
10.1016/j.jcp.2020.109348
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发表时间：
2020
期刊：
影响因子：
--
通讯作者：
B. Wachem
中科院分区：
文献类型：
--
作者：
Fabian Denner;Fabien Evrard;B. Wachem
提出了一种适用于不可压缩流体、理想气体流体和实际气体流体的守恒有限体积框架，并结合了一种基于全耦合压力的算法。对于不可压缩流体和可压缩流体，应用的保守离散化和控制守恒定律的实现以及使用动量加权插值的通量定义是相同的，并且适用于由非结构化网格表示的复杂几何形状。不可压缩流体用预定义的流体常数来描述，而可压缩流体的性质用noble - abel -强化气体模型来描述，不可压缩流体和可压缩流体的密度和比静态焓的定义结合在一个统一的热力学闭合模型中。离散的控制守恒定律在压力、速度和温度的单一线性方程组中求解。保守的有限体积离散化、统一的热力学闭合模型和基于压力的算法共同产生了一个概念简单但通用的数值框架。所提出的数值框架通过各种各样的测试案例得到了彻底的验证，马赫数范围从0到239，包括不可压缩流体的粘性流动、声波的传播以及理想气体和实际气体流体中带有激波的瞬时演变超音速流动。这些结果证明了不可压缩和可压缩流体在所有速度下、在结构化和非结构化网格上流动的数值框架的准确性、鲁棒性和收敛性，以及质量和能量的守恒性。特别是，在不可压缩极限下精确恢复无散度速度场，准确预测声波，以及收敛到强激波的正确弱解，使用相同的有限体积离散和基于压力的算法是所提出的数值框架的重要特征。
A conservative finite-volume framework, based on a collocated variable arrangement, for the simulation of flows at all speeds, applicable to incompressible, ideal-gas and real-gas fluids is proposed in conjunction with a fully-coupled pressure-based algorithm. The applied conservative discretisation and implementation of the governing conservation laws as well as the definition of the fluxes using a momentum-weighted interpolation are identical for incompressible and compressible fluids, and are suitable for complex geometries represented by unstructured meshes. Incompressible fluids are described by predefined constant fluid properties, while the properties of compressible fluids are described by the Noble-Abel-stiffened-gas model, with the definitions of density and specific static enthalpy of both incompressible and compressible fluids combined in a unified thermodynamic closure model. The discretised governing conservation laws are solved in a single linear system of equations for pressure, velocity and temperature. Together, the conservative finite-volume discretisation, the unified thermodynamic closure model and the pressure-based algorithm yield a conceptually simple, but versatile, numerical framework. The proposed numerical framework is validated thoroughly using a broad variety of test-cases, with Mach numbers ranging from 0 to 239, including viscous flows of incompressible fluids as well as the propagation of acoustic waves and transiently evolving supersonic flows with shock waves in ideal-gas and real-gas fluids. These results demonstrate the accuracy, robustness and the convergence, as well as the conservation of mass and energy, of the numerical framework for flows of incompressible and compressible fluids at all speeds, on structured and unstructured meshes. In particular, the precise recovery of a divergence-free velocity field in the incompressible limit, the accurate prediction of acoustic waves, and the convergence to the correct weak solution for strong shock waves with the same finite-volume discretisation and pressure-based algorithm are important features of the proposed numerical framework.
并置变量排列动量加权插值的统一表述
影响因子：
4.1
作者：
Bartholomew P
通讯作者：
Bartholomew P