Dynamic Parallel Adaption for Three Dimensional Unstructured Meshes: Application to Interface Tracking

AbstractIn this article, we detail the methodology developed to construct arbitrarily high order schemes — linear and WENO — on 3D mixed-element unstructured meshes made up of general convex polyhedral elements. The approach is tailored specifically for the solution of scalar level set equations for application to incompressible two-phase flow problems. The construction of WENO schemes on 3D unstructured meshes is notoriously difficult, as it involves a much higher level of complexity than 2D approaches. This due to the multiplicity of geometrical considerations introduced by the extra dimension, especially on mixed-element meshes. Therefore, we have specifically developed a number of algorithms to handle mixed-element meshes composed of convex polyhedra with convex polygonal faces. The contribution of this work concerns several areas of interest: the formulation of an improved methodology in 3D, the minimisation of computational runtime in the implementation through the maximum use of pre-processing operations, the generation of novel methods to handle complex 3D mixed-element meshes and finally the application of the method to the transport of a scalar level set.

Download Full-text

An improved three-dimensional implicit discrete velocity method on unstructured meshes for all Knudsen number flows

Journal of Computational Physics ◽

10.1016/j.jcp.2019.07.002 ◽

2019 ◽

Vol 396 ◽

pp. 738-760 ◽

Cited By ~ 7

Author(s):

L.M. Yang ◽

C. Shu ◽

W.M. Yang ◽

J. Wu

Keyword(s):

Knudsen Number ◽

Three Dimensional ◽

Unstructured Meshes ◽

Discrete Velocity ◽

Discrete Velocity Method

Download Full-text

Two-Phase Numerical Modeling of Grade Intermixing in a Steelmaking Tundish

Metals ◽

10.3390/met9010040 ◽

2019 ◽

Vol 9 (1) ◽

pp. 40 ◽

Cited By ~ 4

Author(s):

Md Irfanul Haque Siddiqui ◽

Man-Hoe Kim

Keyword(s):

Numerical Simulation ◽

Three Dimensional ◽

Interface Tracking ◽

Residual Volume ◽

Two Phase ◽

Throughput Rate ◽

Industrial Practice ◽

Outflow Rate ◽

Major Trend ◽

Grade Steel

The sequential casting of slabs is a major trend in the steel industry where steel quality is the most important factor. The operating parameters have the most influence on mixing phenomenon apart from the design and shapes of the tundish and its furniture. Moreover, in industrial practice, the bath height in tundish varied with time when the ladle is changed. In the present work, the numerical simulation has been carried out to study the effect of residual volume and outflow (throughput) rate on the mixing phenomenon inside the tundish. A transient, three-dimensional two-phase model using the Volume of Fluid (VOF) method and Level Set interface tracking method has been used to investigate the intermixed grade steel formation. A comparison of the two interface tracking schemes, i.e., Geo-reconstruct and Modified HRIC (High-Resolution Interface Capturing Scheme) has also been presented. The results obtained through numerical simulation has been compared with experimental results. In a later section, the results showed that residual volume has a significant effect on the grade mixing. The mixing phenomenon in tundish is considerably influenced by the advance-pouring box (APB). Further, the outflow rate of tundish has little impact on the grade intermixing phenomenon.

Download Full-text