Development of a mass-preserving level set redistancing algorithm for simulation of rising bubble

Abstract

This article is aimed to simulate the gas-liquid flow of rising bubbles with a mass-preserving level set method. To resolve the topological changes of gas-liquid interface where the classic finite difference scheme may yield oscillation solutions, the spatial terms in the level set advection equation will be approximated by an optimized compact reconstruction weighted essentially non-oscillatory (OCRWENO) scheme. This scheme achieves high-order accuracy in smooth regions, and meanwhile avoid numerical oscillation near discontinuities. Two benchmark problems including vortex flow and deforming field are chosen to compare the present simulation with previous numerical researches. Several rising bubble problems are validated by the proposed level set method.

Additional information

Funding

This work was supported by the National Key Research and Development Program of China under Grant 2016YFC0401500, 2016YFC0401503, 2016YFC0401506; the National Natural Science Foundation of China under Grant 91547211, 51579164, 51579216; and the Special Fund for Public Welfare of Water Resources Ministry under Grant 201501007.