High-order modeling of interface interactions using level sets

被引：0
作者：
Fleischmann N. [1 ]
Winter J.M. [1 ]
Adami S. [2 ]
Adams N.A. [1 ,2 ]
机构：
[1] Technical University of Munich, School of Engineering & Design, Department Engineering Physics and Computation, Chair of Aerodynamics and Fluid Mechanics, Garching
[2] Technical University of Munich, Munich Institute of Integrated Materials, Energy and Process Engineering (MEP), Garching
来源：
GAMM Mitteilungen | 2022年 / 45卷 / 02期
基金：
欧盟地平线“2020”; 欧洲研究理事会;
关键词：
compressible flows; high-order schemes; level set; multi-resolution;
D O I：
10.1002/gamm.202200012
中图分类号：
学科分类号：
摘要：
Most technological advancements in medicine, process and energy engineering, life and food science, mobility and environmental engineering involve mastering fluid mechanical effects. In particular, compressible flow physics including shockwaves and phase-interface interactions exhibit multi-scale phenomena spanning several orders of magnitude upwards from nanometer and nanosecond time scales. Clearly, detailed analysis of such effects is impossible by means of experimental techniques. On the contrary, numerical modeling and simulations allow to capture the aforementioned mechanisms and provide non-invasive access to any quantity of interest. Yet, the complex fluid physics require powerful computational methods utilizing recent advancements for high-order schemes. In this work, we provide an overview on latest high-order low-dissipation schemes using level sets to model discontinuous phase-interface interactions. © 2022Wiley-VCH GmbH.
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  • [1] Adalsteinsson D., Sethian J.A., A fast level set method for propagating interfaces, J. Comput. Phys., 118, 2, pp. 269-277, (1995)
  • [2] Biswas S., Hazra R., State-of-the-art level set models and their performances in image segmentation: A decade review, Arch. Comput. Methods Eng., (2021)
  • [3] Chopp D., Computing minimal surfaces via level set curvature flow, J. Comput. Phys., 106, 1, pp. 77-91, (1993)
  • [4] Deiterding R., Domingues M.O., Schneider K., Multiresolution analysis as a criterion for effective dynamic mesh adaptation – A case study for euler equations in the samr framework amroc, Comput. Fluids, 205, (2020)
  • [5] Don W.S., Li P., Wong K.Y., Gao Z., Improved symmetry property of high order weighted essentially non-oscillatory finite difference schemes for hyperbolic conservation laws, Adv. Appl. Math. Mech., 10, 6, pp. 1418-1439, (2018)
  • [6] Don W.S., Li D.M., Gao Z., Wang B.S., A characteristic-wise alternative weno-z finite difference scheme for solving the compressible multicomponent non-reactive flows in the overestimated quasi-conservative form, J. Sci. Comput., 82, 2, pp. 1-24, (2020)
  • [7] Fedkiw R.P., Aslam T., Merriman B., Osher S., A non-oscillatory Eulerian approach to interfaces in multimaterial flows (The ghost fluid method), J. Comput. Phys., 152, 2, pp. 457-492, (1999)
  • [8] Fleischmann N., Adami S., Adams N.A., Numerical symmetry-preserving techniques for low-dissipation shock-capturing schemes, Comput. Fluids, 189, pp. 94-107, (2019)
  • [9] Fleischmann N., Adami S., Adams N.A., A shock-stable modification of the hllc riemann solver with reduced numerical dissipation, J. Comput. Phys., 423, (2020)
  • [10] Fleischmann N., Adami S., Hu X.Y., Adams N.A., A low dissipation method to cure the grid-aligned shock instability, J. Comput. Phys., 401, (2020)
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