An implicit DG solver for incompressible two-phase flows with an artificial compressibility formulation

IF 1.7 4区工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS International Journal for Numerical Methods in Fluids Pub Date : 2024-08-19 DOI:10.1002/fld.5328

Giuseppe Orlando

引用次数: 0

Abstract

We propose an implicit discontinuous Galerkin (DG) discretization for incompressible two-phase flows using an artificial compressibility formulation. The conservative level set (CLS) method is employed in combination with a reinitialization procedure to capture the moving interface. A projection method based on the L-stable TR-BDF2 method is adopted for the time discretization of the Navier-Stokes equations and of the level set method. Adaptive mesh refinement (AMR) is employed to enhance the resolution in correspondence of the interface between the two fluids. The effectiveness of the proposed approach is shown in a number of classical benchmarks. A specific analysis on the influence of different choices of the mixture viscosity is also carried out.

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采用人工可压缩性公式的不可压缩两相流隐式 DG 求解器

我们针对不可压缩两相流提出了一种隐式非连续伽勒金（DG）离散法，采用了人工可压缩性公式。我们采用了保守水平集（CLS）方法，并结合重新初始化程序来捕捉移动界面。Navier-Stokes 方程和水平集方法的时间离散化采用了基于 L-stable TR-BDF2 方法的投影法。采用自适应网格细化（AMR）来提高两种流体界面对应的分辨率。所提议的方法在一些经典基准中显示了其有效性。此外，还对混合粘度的不同选择的影响进行了具体分析。

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来源期刊

International Journal for Numerical Methods in Fluids 物理-计算机：跨学科应用

CiteScore

3.70

自引率

5.60%

发文量

111

审稿时长

8 months

期刊介绍： The International Journal for Numerical Methods in Fluids publishes refereed papers describing significant developments in computational methods that are applicable to scientific and engineering problems in fluid mechanics, fluid dynamics, micro and bio fluidics, and fluid-structure interaction. Numerical methods for solving ancillary equations, such as transport and advection and diffusion, are also relevant. The Editors encourage contributions in the areas of multi-physics, multi-disciplinary and multi-scale problems involving fluid subsystems, verification and validation, uncertainty quantification, and model reduction. Numerical examples that illustrate the described methods or their accuracy are in general expected. Discussions of papers already in print are also considered. However, papers dealing strictly with applications of existing methods or dealing with areas of research that are not deemed to be cutting edge by the Editors will not be considered for review. The journal publishes full-length papers, which should normally be less than 25 journal pages in length. Two-part papers are discouraged unless considered necessary by the Editors.

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