标题： 任意速率松弛技术用于可压缩两相流的数值建模中的传热和传质 显示英文标题

标题： Arbitrary-rate relaxation techniques for the numerical modeling of compressible two-phase flows with heat and mass transfer

摘要： 我们通过一个单速度六方程流动模型来描述可压缩两相流动，该模型由各相质量方程和总能量方程、一个体积分数方程以及混合动量方程组成。 该模型包含用于体积、热量和质量传递的松弛源项。 这些方程通过一种分步算法进行数值求解，其中我们交替求解系统的均质双曲部分，采用HLLC型波传播方案，以及求解一系列三个常微分方程组，用于驱动流动向机械、热和化学平衡的松弛源项。 在文献中，通常基于简化假设的数值松弛过程，即简单的状态方程，例如强化气体状态方程，以及瞬时松弛过程。 这些对流动物理的简化可能不足以描述各种流动问题中涉及的热力学过程。 在本工作中，我们引入了新的数值松弛技术，具有两个显著特性：能够描述任意松弛时间的热量和质量传递过程，并适用于一般状态方程。 我们通过展示几个数值实验来说明所提出方法的有效性。 显示英文摘要

摘要： We describe compressible two-phase flows by a single-velocity six-equation flow model, which is composed of the phasic mass and total energy equations, one volume fraction equation, and the mixture momentum equation. The model contains relaxation source terms accounting for volume, heat and mass transfer. The equations are numerically solved via a fractional step algorithm, where we alternate between the solution of the homogeneous hyperbolic portion of the system via a HLLC-type wave propagation scheme, and the solution of a sequence of three systems of ordinary differential equations for the relaxation source terms driving the flow toward mechanical, thermal and chemical equilibrium. In the literature often numerical relaxation procedures are based on simplifying assumptions, namely simple equations of state, such as the stiffened gas one, and instantaneous relaxation processes. These simplifications of the flow physics might be inadequate for the description of the thermodynamical processes involved in various flow problems. In the present work we introduce new numerical relaxation techniques with two significant properties: the capability to describe heat and mass transfer processes of arbitrary relaxation time, and the applicability to a general equation of state. We show the effectiveness of the proposed methods by presenting several numerical experiments.