一种基于预处理相场的高阶磁通重构界面跟踪方法
A High Order Flux Reconstruction Interface Tracking Method Using Preconditioned Phase Field
摘要：
本文提出了一种简单的和高精度的方法捕捉尖锐的界面运动在无发散的速度场使用高阶通量重建方法在非结构网格。高阶方法的一个众所周知的局限性是它们对吉布斯现象的敏感性;在不连续性和陡梯度附近出现的虚假振荡使得难以准确地解决激波或尖锐界面。为了解决这个问题的背景下，尖锐的界面捕捉，一种新的，预处理和本地化的相位场方法在这项工作中开发。采用局部人工粘性稳定化的水平集方法对界面法向量进行预处理，提高了界面法向量的数值精度。所开发的方法在多平台Flux Reconstruction开源代码PyFR框架下实现。在不同网格类型上进行的二维和三维数值试验表明，预处理程序显着提高了精度。结果表明，所提出的方法的保守性和捕获高度失真的接口具有优越的精度相比，传统的高阶VOF和水平集方法的能力。所提出的方法的高精度和局部性提供了一个很有前途的路线进行并行，高精度模拟的多相，不可压缩现象。
英文摘要：
This paper presents a simple and highly accurate method for capturing sharp interfaces moving in divergence-free velocity fields using the high-order Flux Reconstruction approach on unstructured grids. A well-known limitation of high-order methods is their susceptibility to the Gibbs phenomenon; the appearance of spurious oscillations in the vicinity of discontinuities and steep gradients makes it difficult to accurately resolve shocks or sharp interfaces. In order to address this issue in the context of sharp interface capturing, a novel, preconditioned and localized phase field method is developed in this work. The numerical accuracy of interface normal vectors is improved by utilizing a preconditioning procedure based on the level set method with localized artificial viscosity stabilization. The developed method was implemented in the framework of the multi-platform Flux Reconstruction open-source code PyFR. Numerical tests in 2D and 3D conducted on different mesh types showed that the preconditioning procedure significantly improves accuracy. The results demonstrate the conservativeness of the proposed method and its ability to capture highly distorted interfaces with superior accuracy when compared to conventional and high-order VOF and level set methods. The high accuracy and locality of the proposed method offer a promising route to carrying out massively-parallel, high accuracy simulations of multi-phase, incompressible phenomena.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
