Immersed boundary methods for numerical simulation of confined fluid and plasma turbulence in complex geometries: a review

TL;DR

This review discusses immersed boundary methods, especially volume penalization, for simulating confined fluid and plasma turbulence in complex geometries, highlighting their mathematical basis and practical applications.

Contribution

It provides a comprehensive overview of immersed boundary techniques, emphasizing the volume penalization approach and its effectiveness in complex geometrical configurations.

Findings

Effective in simulating turbulence in complex geometries

Demonstrated applicability in toroidal geometries

Efficient boundary condition implementation

Abstract

Immersed boundary methods for computing confined fluid and plasma flows in complex geometries are reviewed. The mathematical principle of the volume penalization technique is described and simple examples for imposing Dirichlet and Neumann boundary conditions in one dimension are given. Applications for fluid and plasma turbulence in two and three space dimensions illustrate the applicability and the efficiency of the method in computing flows in complex geometries, for example in toroidal geometries with asymmetric poloidal cross-sections.