A multi-material CCALE-MOF approach in cylindrical geometry

TL;DR

This paper introduces a novel multi-material CCALE-MOF numerical method tailored for cylindrical geometries, enhancing simulation accuracy and robustness for compressible fluid flows on unstructured grids.

Contribution

It presents a new formulation for the Lagrangian phase, MOF interface reconstruction, polar mesh rezoning, and hybrid remapping specifically for cylindrical geometries.

Findings

Validated through multiple test cases demonstrating robustness.

Showed improved accuracy over existing methods.

Effective handling of multi-material interfaces in cylindrical coordinates.

Abstract

In this paper we present recent developments concerning a Cell-Centered Arbitrary Lagrangian Eulerian (CCALE) strategy using the Moment Of Fluid (MOF) interface reconstruction for the numerical simulation of multi-material compressible fluid flows on general unstructured grids in cylindrical geometries. Especially, our attention is focused here on the following points. First, we propose a new formulation of the scheme used during the Lagrangian phase in the particular case of axisymmetric geometries. Then, the MOF method is considered for multi-interface reconstruction in cylindrical geometry. Subsequently, a method devoted to the rezoning of polar meshes is detailed. Finally, a generalization of the hybrid remapping to cylindrical geometries is presented. These explorations are validated by mean of several test cases that clearly illustrate the robustness and accuracy of the new method.