An efficient bilinear interface reconstruction algorithm and consistent multidimensional unsplit advection scheme for accurate capturing of highly-curved interfacial shapes on structured grids

Martin van der Eijk, Peter Wellens*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

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Abstract

A new bilinear interface reconstruction algorithm (BLIC) is presented to capture highly-curved interfaces more accurately on structured grids without a significant increase in computational costs compared to the standard piecewise linear interface calculation (PLIC) methods. The new reconstruction algorithm uses the initial PLIC segment and improves continuity of the interface using an averaging method. A curvature-weighted method improves the repositioning of the linear segments. A new unsplit donating quadrant advection (DQA) scheme is introduced that is conservative and can create consistency with the momentum flux for two-phase flow models with a staggered MAC arrangement of variables within a grid cell. The consistent discretization of the fluxes prevents spurious interface velocities, negative densities, and instabilities. Standard 2D test cases and benchmarks demonstrate the performance of the BLIC and the DQA scheme, showing high accuracy and low costs compared to other available methods.

Original languageEnglish
Article number112656
Number of pages28
JournalJournal of Computational Physics
Volume498
DOIs
Publication statusPublished - 2024

Keywords

  • Bilinear interface reconstruction
  • Interface capturing
  • Multiphase flow
  • Unsplit advection scheme
  • Volume of fluid

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