Mathematical modeling and numerical simulation of two-phase flows using Fourier pseudospectral and front-tracking methods: the proposition of a new method

DOI10.1016/j.apm.2017.06.041zbMath1480.65296OpenAlexW2737955134MaRDI QIDQ2294835

F. P. Mariano, Aristeu Silveira-Neto, Mariana F. S. Villela, Millena M. Villar, Ricardo Serfaty

Publication date: 12 February 2020

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2017.06.041

zbMATH Keywords

two-phase flowfront-trackingrising bubbleswobblingpsedospectral Fourier method

Mathematics Subject Classification ID

Spectral methods applied to problems in fluid mechanics (76M22) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Liquid-gas two-phase flows, bubbly flows (76T10)

Related Items (3)

A pseudo-spectral based efficient volume penalization scheme for Cahn-Hilliard equation in complex geometries ⋮ Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model ⋮ Numerical study of incompressible binary fluids on 3D curved surfaces based on the conservative Allen-Cahn-Navier-Stokes model

Cites Work

• Unnamed Item
• High-accuracy large-step explicit Runge-Kutta (HALE-RK) schemes for computational aeroacoustics
• A front-tracking method for viscous, incompressible multi-fluid flows
• Numerical analysis of blood flow in the heart
• A stabilized finite element method using a discontinuous level set approach for the computation of bubble dynamics
• Flow patterns around heart valves: A numerical method
• On the rise of an ellipsoidal bubble in water: oscillatory paths and liquid-induced velocity
• Numerical Simulation of Two-Phase Flows Using Fourier Pseudospectral Method
• A new incompressible Navier-Stokes solver combining Fourier pseudo-spectral and immersed boundary methods
• A direct numerical simulation study of the buoyant rise of bubbles at O(100) Reynolds number
• Direct numerical simulations of bubbly flows. Part 1. Low Reynolds number arrays
• Direct numerical simulations of bubbly flows Part 2. Moderate Reynolds number arrays
• Effect of bubble deformation on the properties of bubbly flows
• Turbulent Flows
• An inverse energy cascade in two-dimensional low Reynolds number bubbly flows
• A Robust, Fully Adaptive Hybrid Level-set/front-tracking Method for Two-phase Flows with an Accurate Surface Tension Computation
• Spectral Methods
• An Algorithm for the Machine Calculation of Complex Fourier Series
• Direct numerical simulations of gas/liquid multiphase flows
• Spectral Methods

This page was built for publication: Mathematical modeling and numerical simulation of two-phase flows using Fourier pseudospectral and front-tracking methods: the proposition of a new method