Preconditioning method for condensate fluid and solid coupling problems in general curvilinear coordinates

Preconditioning method for condensate fluid and solid coupling problems in general curvilinear coordinates
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DOI:
10.1016/j.jcp.2005.01.013
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发表时间:
2005-07
影响因子:
4.1
通讯作者:
S. Yamamoto
S. Yamamoto
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
S. Yamamoto

文献摘要

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提出了一种适用于凝析流体与固体耦合问题的一般曲线坐标下的预条件通量矢量分裂(PFVS)格式,并给出了一些典型的计算结果,证明了该方法的有效性。该方法基于可压缩Navier-Stokes (NS)方程的预处理方法,该方法具有附加方程和凝析流源项。由于目前由NS方程的对流项和压力项组成的PFVS项在速度为零时完全简化为压力项,因此该格式不仅可以进一步应用于动态场的计算,还可以应用于静态场的计算,包括从动态区域到静态区域的过渡场。本文作为本研究的第一阶段,利用该方法同时计算了流场中凝结水流动与固体结构中热传导之间的耦合问题。作为数值算例,利用固体结构的热传导模拟了NACA0012翼型周围的跨音速和低速流动、喷嘴内的非平衡凝结水流动以及1g和零重力下管道周围的自然对流与凝结水流动。
A preconditioned flux-vector splitting (PFVS) scheme in general curvilinear coordinates which can be applied to condensate fluid and solid coupling problems is presented and some typical calculated results are shown to prove the availability of the present method. This method is based on the preconditioning method applied to compressible Navier–Stokes (NS) equations with additional equations and source terms for condensate flows. Since the present PFVS terms composed of the convective and pressure terms of the NS equations are completely reduced to only the pressure terms when the velocities are set to zero, the present scheme can further applied to the calculation not only for a dynamic field but also for a static field including a transitional field from the dynamic region to the static region. In this paper, as a first stage of the present study, coupling problems between a condensate flow in a flow field and heat conduction in a solid structure are simultaneously calculated by using the present method. As numerical examples, transonic and low speed flows around the NACA0012 airfoil, nonequilibrium condensate flows in a nozzle, and natural convection with condensation around a pipe at 1g and zero gravity are simulated with heat conduction in the solid structure.