Application of an All-Speed Implicit Finite-Volume Algorithm to Rayleigh–Taylor Instability
Application of an All-Speed Implicit Finite-Volume Algorithm to Rayleigh–Taylor Instability
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全速隐式有限体积算法在瑞利-泰勒不稳定性中的应用
DOI：
10.1142/s0219876215500188
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
H. Saygin
中科院分区：
文献类型：
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作者：
I. Yilmaz;F. O. Edis;H. Saygin
我们使用全速、完全隐式、非耗散和离散动能守恒算法提出了瑞利-泰勒不稳定性 (RTI) 的三维直接数值模拟 (DNS) 研究。为了进行这项研究，我们基于现有算法和 PETSc 并行库开发了一个内部完全并行、有限体积的 DNS 求解器 iDNS，它可以求解一组与时间相关、可压缩的纳维-斯托克斯重力方程组。结果表明，该算法能够捕获斜压不稳定性和湍流混合的正确物理现象。人们发现，在扩散增长阶段过去后，压缩性（即高马赫数）对于流动的发展更为有效。在马赫数 1.1 处还观察到气泡生长速率增加，同时湍流混合减少。
We present a three-dimensional Direct Numerical Simulation (DNS) study of Rayleigh–Taylor Instability (RTI) using an all-speed, fully implicit, nondissipative and discrete kinetic energy conserving algorithm. In order to perform this study, an in-house, fully parallel, finite-volume, DNS solver, iDNS, which solves the set of time-dependent, compressible Navier–Stokes equations with gravity was developed based on the present algorithm and the PETSc parallel library. It is shown that the algorithm is able to capture the correct physics of the baroclinic instability and turbulent mixing. Compressibility (i.e., high Mach number) has been found more effective on the development of the flow after the diffusive growth phase passed. An increase in bubble growth rate together with a decrease in turbulent mixing was also observed at Mach number 1.1.