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In this work we propose and analyse a structure-preserving approximation of the non-isothermal Cahn-Hilliard-Navier-Stokes system using conforming finite elements in space and implicit time discretisation with convex-concave splitting. The system is first reformulated into a variational form that reveals the equations’ structure and is then used in the subsequent approximation.

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Structure-Preserving Approximation for the Non-isothermal Cahn-Hilliard-Navier-Stokes System

  • 会议论文

  • 发表日期：

    2025年

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  • Aaron Brunk,
  • Dennis Schumann

摘要

In this work we propose and analyse a structure-preserving approximation of the non-isothermal Cahn-Hilliard-Navier-Stokes system using conforming finite elements in space and implicit time discretisation with convex-concave splitting. The system is first reformulated into a variational form that reveals the equations’ structure and is then used in the subsequent approximation.