论文标题

Baer-Nunziato两相流模型中僵硬的有限速率松弛的求解器

A solver for stiff finite-rate relaxation in Baer-Nunziato two-phase flow models

论文作者

Chiocchetti, Simone, Müller, Christoph

论文摘要

在本文中,我们提出了一种用于构造坚硬代数源术语的稳健求解器的技术,例如通常用于建模偏微分方程的双曲线系统中描述两相流量的释放过程的技术,即Baer-Nunziato家族的模型。该方法基于指数积分器,该集成符采用近似线性化的源术语运算符,该操作员的构建方式可以将解决方案计算到线性化方程中,以避免任何精致的矩阵反转操作。

In this paper we present a technique for constructing robust solvers for stiff algebraic source terms, such as those typically used for modelling relaxation processes in hyperbolic systems of partial differential equations describing two-phase flows, namely models of the Baer-Nunziato family. The method is based on an exponential integrator which employs an approximate linearised source term operator that is constructed in such a way that one can compute solutions to the linearised equations avoiding any delicate matrix inversion operations.

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