A mass‐conserving level‐set method for simulation of multiphase flow in geometrically complicated domains

Raees, F.; Heul, D. R. van der; Vuik, C.

doi:10.1002/fld.4188

Cited by 9 publications

(6 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The multiwavelet troubled-cell indicator is applied both using the parameter C and with the outlier-detection approach. For the tests, the Matlab code of Hesthaven and Warburton is used [8], which is extended to the advection equation together with the vertex-based limiter by Raees et al [13].…”

Section: Numerical Resultsmentioning

confidence: 99%

Detecting Discontinuities Over Triangular Meshes Using Multiwavelets

Vuik

Ryan

2017

Lecture Notes in Computational Science and Engineering

View full text Add to dashboard Cite

It is well known that solutions to nonlinear hyperbolic PDEs develop discontinuities in time. The generation of spurious oscillations in such regions can be prevented by applying a limiter in the troubled zones. In earlier work, we constructed a multiwavelet troubled-cell indicator for one and (tensor-product) two dimensions (SIAM J. Sci. Comput. 38(1):A84–A104, 2016). In this paper, we investigate multiwavelet troubled-cell indicators on structured triangular meshes. One indicator uses a problem-dependent parameter; the other indicator is combined with outlier detection

show abstract

Section: Numerical Resultsmentioning

confidence: 99%

Detecting Discontinuities Over Triangular Meshes Using Multiwavelets

Vuik

Ryan

2017

Lecture Notes in Computational Science and Engineering

View full text Add to dashboard Cite

show abstract

“…Various studies have proposed different methodologies for improving mass conservation of the LS method 21,22,23,18,24,25,26,27,28,29,30,31,32 . The particle level set (PLS) in 18 is a semi-lagrangian level set method based on the advection of particles at both sides of the interface.…”

Section: Scopementioning

confidence: 99%

A finite volume coupled level set and volume of fluid method with a mass conservation step for simulating two-phase flows

Lyras,

Lee

2021

Preprint

View full text Add to dashboard Cite

This paper presents a finite volume method for simulating two-phase flows using a level set approach coupled with volume of fluid method capable of simulating sharp fluid interfaces. The efficiency of the method is a result of the fact that the interface is calculated in order to satisfy mass conservation with no explicit interface reconstruction step and the mass fluxes across cell-faces are corrected to respect the recovered volume fraction. The mass-conservation correction step proposed here, is utilised using an iterative algorithm which solves a reactiondiffusion equation for the mass correction of the level set. The re-sharpened volume fraction is used for the new volumetric fluxes at each cell which are calculated through the proposed algorithm that guarantees that they satisfy mass conservation. The algorithm is not limited in representing the interface with the 0.5-contour and is applicable for arbitrary polyhedral cells. Good accuracy and mass conservation are achieved when compared to other conservative approaches.

show abstract

“…Whereas, the major disadvantage is the lack of mass (area) conservation and the hybrid methods have been proposed until nowadays to overcome this [16].…”

Section: Governing Equations and Interface Representationmentioning

confidence: 99%

Comparison of Numerical Methods for Ternary Fluid Flows: Immersed Boundary, Level-Set, and Phase-Field Methods

Lee¹,

Jeong²,

Choi³

et al. 2016

Journal of the Korea Society for Industrial and Applied Mathema

View full text Add to dashboard Cite

ABSTRACT. This paper reviews and compares three different methods for modeling incompressible and immiscible ternary fluid flows: the immersed boundary, level set, and phase-field methods. The immersed boundary method represents the moving interface by tracking the Lagrangian particles. In the level set method, an interface is defined implicitly by using the signed distance function, and its evolution is governed by a transport equation. In the phase-field method, the advective Cahn-Hilliard equation is used as the evolution equation, and its order parameter also implicitly defines an interface. Each method has its merits and demerits. We perform the several simulations under different conditions to examine the merits and demerits of each method. Based on the results, we determine the most suitable method depending on the specific modeling needs of different situations.

show abstract

A mass‐conserving level‐set method for simulation of multiphase flow in geometrically complicated domains

Cited by 9 publications

References 27 publications

Detecting Discontinuities Over Triangular Meshes Using Multiwavelets

Detecting Discontinuities Over Triangular Meshes Using Multiwavelets

A finite volume coupled level set and volume of fluid method with a mass conservation step for simulating two-phase flows

Comparison of Numerical Methods for Ternary Fluid Flows: Immersed Boundary, Level-Set, and Phase-Field Methods

Contact Info

Product

Resources

About