• Some numerical studies of interface advection properties of level set method

    • Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      https://www.ias.ac.in/article/fulltext/sadh/034/02/0271-0298

    • Keywords

       

      Level set method; interface advection; numerical diffusion; mass conservation.

    • Abstract

       

      In this paper, we discuss the results of a series of tests carried out to assess the level set methodology for capturing interfaces between two immiscible fluids. The tests are designed to investigate the accuracy of convection process, the preservation of interface shape, and the mass conservation properties of individual fluids. These test cases involve the advection of interfaces of different shapes exposed to translation, rotation, deformation, and shear flow. Prescribed solenoidal velocity fields are used and no attempt is made to couple the advection of the level set function with the momentum equations. For the solution of level set equation we have employed first-order upwind scheme, MacCormack method, second-order ENO scheme, and fifth-order WENO scheme. Our studies show that the level set method perform well when higher-order schemes are used for the solution of advection equation. However, for certain type of shearing and vortical velocity fields mass conservation is an issue on coarser meshes even with higher order schemes. Finer mesh must be used in such situations to reduce numerical diffusion.

    • Author Affiliations

       

      A Salih1 S Ghosh Moulic2

      1. Department of Aerospace Engineering, Indian Institute of Space Science and Technology, Thiruvananthapuram 695 022
      2. Department of Mechanical Engineering, Indian Institute of Technology, Kharagpur 721 302
    • Dates

       
  • Sadhana | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2017-2019 Indian Academy of Sciences, Bengaluru.