Work

An energy stable incompressible multi-phase flow formulation

Year: 2024

Type: article

Abstract: We show that a reformulation of the governing equations for incompressible multi-phase flow in the volume of fluid setting leads to a well defined energy rate. New nonlinear inflow-outflow and solid wall boundary conditions bound the energy rate and lead to an energy estimate in terms of only external data. The new formulation combines perfectly with summation-by-parts operators and leads to provable energy stability.

Source: Journal of Computational Physics

DOI: 10.1016/j.jcp.2024.113685

Authors: Jan Nordström, Arnaud G. Malan

Institutions: Linköping University, University of Johannesburg, University of Cape Town

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,860

Funders: National Research Foundation, Vetenskapsrådet, University of Johannesburg