Multiscale method of modelling surface texture with mass-conserving cavitation model

Abstract

To solve the multiscale problem of modelling surface texture with mass-conserving cavitation, a new method combining the finite cell method with the Fischer–Burmeister–Newton–Schur algorithm (FCM-FBNS) was developed. Numerical experiments confirmed that the proposed method has strong robustness and a high computational efficiency. When the number of degrees of freedom (DOFs) was 360,000, the calculation difference between FCM-FBNS and the finite-element method (FEM) was < 1 %, and the computation time was approximately 1 % of that of the FEM. FCM-FBNS is suitable for parallel processing, and the computation time increases nearly linearly with an increase in the number of DOFs in most cases. Furthermore, FCM-FBNS has a flexible meshing strategy for discretising complex geometries.