Improvements, testing and development of the ADM-{\tau} sub-grid surface tension model for two-phase LES

TL;DR

This paper refines the ADM-τ sub-grid surface tension model for two-phase LES, simplifying its formulation, reducing computational costs, and enhancing its applicability through extensive testing in various flow conditions.

Contribution

It introduces a simplified, more efficient version of the ADM-τ model with improved applicability criteria and comprehensive testing for two-phase flow simulations.

Findings

Reduced computational cost of the model

Enhanced applicability criteria based on interface curvature

Validated performance across simple and complex flows

Abstract

In this paper, a specific subgrid term occurring in Large Eddy Simulation (LES) of two-phase flows is investigated. This and other subgrid terms are presented, we subsequently elaborate on the existing models for those and re-formulate the ADM-{\tau} model for sub-grid surface tension previously published by these authors. This paper presents a substantial, conceptual simplification over the original model version, accompanied by a decrease in its computational cost. At the same time, it addresses the issues the original model version faced, e.g. introduces non-isotropic applicability criteria based on resolved interface's principal curvature radii. Additionally, this paper introduces more throughout testing of the ADM-{\tau}, in both simple and complex flows.