4.7 Article

A highly efficient variant of scalar auxiliary variable (SAV) approach for the phase-field fluid-surfactant model

相关参考文献

注意:仅列出部分参考文献,下载原文获取全部文献信息。
Article Mathematics, Applied

A Fully-Decoupled Artificial Compressible Crank-Nicolson-Leapfrog Time Stepping Scheme for the Phase Field Model of Two-Phase Incompressible Flows

Lingzhi Qian et al.

Summary: In this paper, the authors propose an efficient numerical approximation method for the phase field model of two-phase incompressible flows. By introducing nonlocal auxiliary variables and employing the Crank-Nicolson-Leapfrog (CNLF) formula and artificial compression method, a highly efficient and fully-decoupled scheme is developed. The authors demonstrate the linear and unconditional energy stability of the proposed scheme through extensive numerical experiments.

JOURNAL OF SCIENTIFIC COMPUTING (2023)

Article Mathematics, Applied

A BDF2 energy-stable scheme for the binary fluid-surfactant hydrodynamic model

Yuzhe Qin et al.

Summary: A second-order time stepping scheme is developed for the binary fluid-surfactant phase-field model coupled with hydrodynamics, using scalar auxiliary variable approach and pressure correction method. The introduced scheme is linear, decoupled and efficiently solves nonlinear terms. The semidiscretized scheme in time is unconditionally energy stable, as confirmed by numerical experiments validating accuracy and energy stability.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES (2022)

Article Chemistry, Applied

Optimizing surfactant templating of yttria-stabilized zirconia aerogels for high-temperature applications: Effect of cationic surfactant

Rebecca C. Walker et al.

Summary: Aerogels are used as thermal insulators in spaceflight applications, but their thermal stability needs to be optimized. By adding the surfactant CTAB, this study increased the surface area and pore volume of YSZ aerogels, enhancing their thermal stability.

MICROPOROUS AND MESOPOROUS MATERIALS (2022)

Article Mathematics, Applied

Step-by-step solving schemes based on scalar auxiliary variable and invariant energy quadratization approaches for gradient flows

Zhengguang Liu et al.

Summary: This paper proposes novel numerical techniques for dealing with nonlinear terms in gradient flows, introducing step-by-step solving schemes that can save CPU time and demonstrating accuracy and efficiency through comparative studies and 2D numerical simulations.

NUMERICAL ALGORITHMS (2022)

Article Computer Science, Interdisciplinary Applications

An efficiently linear and totally decoupled variant of SAV approach for the binary phase-field surfactant fluid model

Huan Han et al.

Summary: In this study, an efficient time-marching scheme is developed for solving the Cahn-Hilliard type phase-field incompressible surfactant fluid model. The proposed method is linear, totally decoupled, and unconditionally energy-stable. It achieves decoupled computations of all variables and updates the phase-field function by solving linear elliptic equations. Numerical validations show that the proposed method has desired energy stability and works well for surfactant-laden droplets dynamics.

COMPUTERS & FLUIDS (2022)

Article Computer Science, Interdisciplinary Applications

Linear and fully decoupled scheme for a hydrodynamics coupled phase-field surfactant system based on a multiple auxiliary variables approach

Junxiang Yang et al.

Summary: In this paper, a linear, fully decoupled, and energy stable finite difference scheme is proposed for solving a phase-field surfactant fluid system. Inspired by the idea of multiple scalar auxiliary variables, the original governing equations are transformed and solved efficiently. Computational simulations confirm the accuracy, energy stability, and effectiveness of the proposed method for simulating surfactant-laden droplet dynamics.

JOURNAL OF COMPUTATIONAL PHYSICS (2022)

Article Computer Science, Interdisciplinary Applications

A second-order maximum bound principle preserving operator splitting method for the Allen-Cahn equation with applications in multi-phase systems

Xufeng Xiao et al.

Summary: This paper presents a highly efficient space-time operator splitting finite element method for solving the two- and three-dimensional Allen-Cahn equations. The method reduces the storage requirements and complexity of high-dimensional computations by splitting the problem into one-dimensional subproblems. It is space-time second-order and can be performed in parallel.

MATHEMATICS AND COMPUTERS IN SIMULATION (2022)

Article Engineering, Multidisciplinary

Unconditionally energy-stable time-marching methods for the multi-phase conservative Allen–Cahn fluid models based on a modified SAV approach

Jingwen Wu et al.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2022)

Article Mathematics, Applied

An efficient maximum bound principle preserving p-adaptive operator-splitting method for three-dimensional phase field shape transformation model

Yan Wang et al.

Summary: This paper presents a novel numerical algorithm for efficient modeling of three-dimensional shape transformation governed by the modified Allen-Cahn equation. The proposed method achieves high precision and high efficiency through operator splitting, temporal p-adaptive strategy, and parallel least distance modification technique.

COMPUTERS & MATHEMATICS WITH APPLICATIONS (2022)

Article Engineering, Mechanical

An energy-stable method for a phase-field surfactant model

Zhijun Tan et al.

Summary: In this paper, a second-order, time-accurate, highly efficient, and energy-stable scheme is proposed for a phase-field surfactant equation. By utilizing a variant of the scalar auxiliary variable (SAV) approach, the challenge of dealing with nonlinear and coupling terms in the system is successfully addressed. The proposed method exhibits the advantages of decoupled time-marching scheme, straightforward energy stability estimation, and capability to simulate various surfactant-laden dynamics.

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES (2022)

Article Chemistry, Physical

Research progress in the synthesis and application of surfactants based on trisiloxane

Yuqiao Cheng et al.

Summary: Compared to traditional alkyl surfactants, silicone surfactants with partially or wholly composed siloxanes as hydrophobic groups possess many excellent properties, including high surface activity, low toxicity, good biocompatibility, and interfacial modification properties. This review focuses on the synthesis methods and performance of trisiloxane surfactants with unique softness and super wetting ability, and discusses their application prospects in biomedicine, aerospace, high-end daily chemicals, and enhanced oil recovery (EOR) fields.

JOURNAL OF MOLECULAR LIQUIDS (2022)

Article Chemistry, Physical

Application of a novel natural surfactant extracted from Avena Sativa for enhanced oil recovery during low salinity water flooding: Synergism of natural surfactant with different salts

Behnaz Sami et al.

Summary: The use of green, eco-friendly, efficient, and sustainable surfactants for enhanced oil recovery (EOR) is crucial. A novel natural surfactant extracted from oat was found to be highly efficient and stable for EOR applications. Different salts were tested, and Na2CO3 showed the best compatibility and achieved the most significant reduction in interfacial tension (IFT). Core flooding tests demonstrated that using the natural surfactant with Na2CO3 as a tertiary recovery agent increased the oil recovery factor by 28.89%.

JOURNAL OF MOLECULAR LIQUIDS (2022)

Article Mathematics, Applied

An accurate and parallel method with post-processing boundedness control for solving the anisotropic phase-field dendritic crystal growth model

Yan Wang et al.

Summary: This study proposes a fast, accurate, and stable numerical algorithm for solving the anisotropic phase-field dendritic crystal growth model. The algorithm combines the first-order direction splitting method and the linear stabilization technique to ensure energy stability and fast computing. Two post-processing methods are developed to control the boundedness of numerical solution. The effectiveness of the algorithm is demonstrated through numerical examples.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION (2022)

Article Engineering, Multidisciplinary

An improved scalar auxiliary variable (SAV) approach for the phase-field surfactant model

Junxiang Yang et al.

Summary: This work introduces a new linear, decoupled numerical scheme for the phasefield surfactant model, which improves the handling of the model and achieves higher numerical stability and accuracy.

APPLIED MATHEMATICAL MODELLING (2021)

Article Computer Science, Interdisciplinary Applications

A variant of stabilized-scalar auxiliary variable (S-SAV) approach for a modified phase-field surfactant model

Junxiang Yang et al.

Summary: This article introduces a new numerical method for a modified phase-field surfactant model, which is simple, efficient, and energy stable. By decoupling the phase-field, surfactant, and auxiliary variables, the whole system can be solved step by step.

COMPUTER PHYSICS COMMUNICATIONS (2021)

Article Mechanics

A fast and practical adaptive finite difference method for the conservative Allen-Cahn model in two-phase flow system

Junxiang Yang et al.

Summary: A simple and practical adaptive finite difference method is proposed for the conservative Allen-Cahn-Navier-Stokes system, where the narrow band domain is embedded for the Allen-Cahn equation and a coarser grid is used for solving the Navier-Stokes equation. Various numerical experiments demonstrate the efficiency and practicality of the method for simulating two-phase incompressible flow.

INTERNATIONAL JOURNAL OF MULTIPHASE FLOW (2021)

Article Mathematics, Applied

Unconditionally Maximum Bound Principle Preserving Linear Schemes for the Conservative Allen-Cahn Equation with Nonlocal Constraint

Jingwei Li et al.

Summary: Compared with the Cahn-Hilliard equation, the classic Allen-Cahn equation satisfies the maximum bound principle but does not conserve mass over time. This paper proposes a modified Allen-Cahn equation with a nonlocal Lagrange multiplier term to enforce mass conservation and introduces first and second order stabilized exponential time differencing schemes for time integration. The schemes are shown to preserve the maximum bound principle at the time discrete level and are validated through various numerical experiments in two and three dimensions.

JOURNAL OF SCIENTIFIC COMPUTING (2021)

Article Computer Science, Interdisciplinary Applications

A phase-field moving contact line model with soluble surfactants

Guangpu Zhu et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2020)

Article Mathematics, Applied

An unconditionally stable second-order accurate method for systems of Cahn-Hilliard equations

Junxiang Yang et al.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION (2020)

Article Engineering, Multidisciplinary

Numerical simulation of binary fluid-surfactant phase field model coupled with geometric curvature on the curved surface

Ming Sun et al.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2020)

Article Engineering, Multidisciplinary

A new Lagrange multiplier approach for gradient flows

Qing Cheng et al.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING (2020)

Article Mathematics, Applied

Numerical Approximation of a Phase-Field Surfactant Model with Fluid Flow

Guangpu Zhu et al.

JOURNAL OF SCIENTIFIC COMPUTING (2019)

Article Computer Science, Interdisciplinary Applications

Coalescence of surfactant-laden drops by Phase Field Method

Giovanni Soligo et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2019)

Article Engineering, Mechanical

Simulation of ferroelastic phase formation using phase-field model

M. Muramatsu et al.

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES (2018)

Article Computer Science, Interdisciplinary Applications

Decoupled, energy stable schemes for a phase-field surfactant model

Guangpu Zhu et al.

COMPUTER PHYSICS COMMUNICATIONS (2018)

Article Computer Science, Interdisciplinary Applications

The scalar auxiliary variable (SAV) approach for gradient flows

Jie Shen et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2018)

Article Computer Science, Interdisciplinary Applications

A new conservative vector-valued Allen-Cahn equation and its fast numerical method

Junseok Kim et al.

COMPUTER PHYSICS COMMUNICATIONS (2017)

Article Mathematics, Applied

High-order and mass conservative methods for the conservative Allen-Cahn equation

Hyun Geun Lee

COMPUTERS & MATHEMATICS WITH APPLICATIONS (2016)

Article Engineering, Multidisciplinary

A conservative Allen-Cahn equation with a space-time dependent Lagrange multiplier

Junseok Kim et al.

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE (2014)