Computing material fronts with a Lagrange-Projection approach

TL;DR

This paper explores a Lagrange-Projection method for accurately computing material fronts in multi-fluid models, focusing on minimizing conservation errors through different projection techniques.

Contribution

It introduces a novel approach to improve the accuracy of material front computations in multi-fluid models by optimizing the projection step.

Findings

Enhanced accuracy in material front tracking.

Reduced conservation errors with specific projection forms.

Applicable to complex multi-fluid simulations.

Abstract

This paper reports investigations on the computation of material fronts in multi-fluid models using a Lagrange-Projection approach. Various forms of the Projection step are considered. Particular attention is paid to minimization of conservation errors.