Article
Engineering, Chemical
Adnan H. Rajkotwala, Leander L. Boer, E. A. J. F. (Frank) Peters, Cees W. M. van der Geld, J. G. M. (Hans) Kuerten, J. A. M. (Hans) Kuipers, Maike W. Baltussen
Summary: This study investigates the heat transfer characteristics of flow boiling using numerical simulations. The results show that phase change has a more significant impact on heat transfer than convective transport, and convective effects are more pronounced at the bubble rear.
Article
Computer Science, Interdisciplinary Applications
Vladimir Bogdanov, Felix S. Schranner, Josef M. Winter, Stefan Adami, Nikolaus A. Adams
Summary: This work presents a method for modeling multi-phase flows with moving contact lines at no-slip walls using a level-set-based sharp-interface method. The method includes a dynamic-contact-angle level-set boundary condition and an extrapolation equation for interface velocities. It reduces spurious currents and has been verified for its convergence and stability.
JOURNAL OF COMPUTATIONAL PHYSICS
(2022)
Article
Thermodynamics
S. P. Shipkowski, I Perez-Raya
Summary: This article introduces a new method for calculating interface size in computational fluid dynamics simulations, namely the PLIC-ASB method. This method uses a symbolic equation instead of approximation or numerical methods to maintain a sharp interface and provide physics-based mass transfer. Compared to the VOF gradient method, the PLIC-ASB method demonstrates higher accuracy and smaller relative error.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
(2023)
Article
Mathematics, Applied
M. Najafian, M. S. Mortazavi
Summary: This paper investigates the evaporation of droplets and proposes a two-step algorithm to solve problems with high-density ratios. The results demonstrate the accuracy and feasibility of this modified method.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2023)
Article
Computer Science, Interdisciplinary Applications
Ronit Kumar, Lidong Cheng, Yunong Xiong, Bin Xie, Remi Abgrall, Feng Xiao
Summary: The THINC-scaling scheme unifies the VOF and level set methods by maintaining a high-quality reconstruction function, preserving the advantages of both methods, and allowing representation of interfaces with high-order polynomials. The scheme provides high-fidelity solutions comparable to other advanced methods and can resolve sub-grid filament structures if the interface is represented by a polynomial higher than second order.
JOURNAL OF COMPUTATIONAL PHYSICS
(2021)
Article
Mathematics, Applied
Cheng Wang, Wanli Wang, Shucheng Pan, Fuyu Zhao
Summary: This work presents an adaptive particle reseeding method for the particle level set method based on local curvature, achieving higher efficiency by placing more particles near interfaces with larger curvature. The method also includes a correction procedure with grid independence. Numerical tests demonstrate improved area/volume conservation and computational efficiency compared to the original method, with a CPU time savings of 50-75% without sacrificing accuracy.
JOURNAL OF SCIENTIFIC COMPUTING
(2022)
Article
Engineering, Ocean
C. H. Yu, G. Z. Yang, Z. H. Gu, Y. L. Li
Summary: A Coupled Level Set and Volume Of Fluid (CLSVOF) method is proposed in this article for simulating the multi-bubble rising problem. This method accurately conserves mass and captures gas/liquid moving interface to understand bubbles' evolution in detail. The present CLSVOF method is also combined with the projection method of flow field solver to provide two-phase flow field solutions.
APPLIED OCEAN RESEARCH
(2023)
Article
Computer Science, Interdisciplinary Applications
Eloy de Kinkelder, Leonard Sagis, Sebastian Aland
Summary: The article introduces a numerical method for simulating deforming viscoelastic surfaces, derived from the surface equivalent of the upper convected Maxwell model and the GENERIC formulation of nonequilibrium thermodynamics. The method solves the models of viscous fluid and surface using Finite Elements and combines them using an Arbitrary Lagrange-Eulerian (ALE) Method. Verification against analytic solutions shows good agreement.
JOURNAL OF COMPUTATIONAL PHYSICS
(2021)
Article
Materials Science, Multidisciplinary
Shuangjun Ma, Long Wang, Xiaozhen Liu, Zou Nan, Mouhamadou A. Diop
Summary: The aim of this study is to investigate the interfacial phenomena in a multiphase system with a bubble below the anode block. At the macroscopic scale, the shape of the bubble is influenced by the triple line where the solid-liquid-gas intersect. Multiphase fluid flows with phase change and heat transfer are common in various industrial applications, including the aluminum electrolysis process. A multicomponent lattice Boltzmann method was developed in this study to analyze the wettability of the gas bubble flow beneath the anode block. Test cases were conducted to validate the model improvements. The position parameters of the triple line, dynamic or static contact angle, and bubble size were characterized to control the interactions between the bubble and the anode surface.
Article
Computer Science, Interdisciplinary Applications
Philippe Hergibo, Timothy N. Phillips, Zhihua Xie
Summary: Multiphase flows have implications in various engineering fields. The moment-of-fluid (MOF) method is an interface capturing method that uses volume fraction and centroid within a cell to reconstruct interfaces. A symmetric approach for reconstructing thin structures is proposed, involving multi-material reconstruction. A new optimization algorithm, using a bisection method without an initial condition, is also introduced. The Lagrangian approach for dynamic cases allows for unrestricted timestep. The method is validated using benchmark cases, demonstrating close to quadratic convergence and high accuracy while maintaining acceptable runtime.
JOURNAL OF COMPUTATIONAL PHYSICS
(2023)
Article
Thermodynamics
Guangtao Duan, Mikio Sakai
Summary: A quasi-sharp-interface model (QSIM) was proposed for selective laser melting, which effectively prevented gas entrapment issues and its capability was verified through simulations.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
(2022)
Article
Computer Science, Interdisciplinary Applications
Ram Kumar Maity, T. Sundararajan, K. Velusamy
Summary: The novel PCIC method accurately reconstructs interfaces in two-phase flow problems using piecewise circular arcs, without requiring additional calculations for determining curvature. The method achieves superior accuracy levels compared to other interface reconstruction methods, and is demonstrated to handle complex two-phase flow problems involving breakage and coalescence of interfaces.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
(2021)
Article
Engineering, Marine
C. H. Yu, T. C. Wu, R. D. An, Y. L. Li
Summary: The liquid sloshing problem in a partially filled rectangular tank is numerically investigated using the Coupled Level Set and Volume Of Fluid method. The accuracy and mass conservation of the method are validated through validation and simulation analysis, and the influence of baffle length on the slapping pressure and free-surface is discussed.
Article
Computer Science, Interdisciplinary Applications
Desir-Andre Koffi Bi, Mathilde Tavares, Eric Chenier, Stephane Vincent
Summary: In this work, three classes of numerical methods are investigated for evaluating interface properties in multiphase flow simulations. The accuracy, robustness, and convergence properties of these methods are studied through comparisons on static and dynamic surfaces. The most appropriate method can be chosen based on the desired accuracy and computational cost.
JOURNAL OF COMPUTATIONAL PHYSICS
(2022)
Article
Computer Science, Interdisciplinary Applications
Leonardo Chirco, Stephane Zaleski
Summary: We propose a novel class of edge-based interface-tracking methods (EBIT) for advecting the interface in multiphase flows. The method tracks the position of the interface using marker points located on the edges of the grid, making it flexible for different spatial discretization choices and suitable for parallel computation. In this article, we present a simple EBIT method based on two-dimensional Cartesian grids and a linear interface representation.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
(2023)
Article
Computer Science, Interdisciplinary Applications
Tian Liang, Lin Fu
Summary: In this work, a new shock-capturing framework is proposed based on a new candidate stencil arrangement and the combination of infinitely differentiable non-polynomial RBF-based reconstruction in smooth regions with jump-like non-polynomial interpolation for genuine discontinuities. The resulting scheme achieves high order accuracy and resolves genuine discontinuities with sub-cell resolution.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Lukas Lundgren, Murtazo Nazarov
Summary: In this paper, a high-order accurate finite element method for incompressible variable density flow is introduced. The method addresses the issues of saddle point system and stability problem through Schur complement preconditioning and artificial compressibility approaches, and it is validated to have high-order accuracy for smooth problems and accurately resolve discontinuities.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Gabriele Ciaramella, Laurence Halpern, Luca Mechelli
Summary: This paper presents a novel convergence analysis of the optimized Schwarz waveform relaxation method for solving optimal control problems governed by periodic parabolic PDEs. The analysis is based on a Fourier-type technique applied to a semidiscrete-in-time form of the optimality condition, which enables a precise characterization of the convergence factor at the semidiscrete level. The behavior of the optimal transmission condition parameter is also analyzed in detail as the time discretization approaches zero.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Jonas A. Actor, Xiaozhe Hu, Andy Huang, Scott A. Roberts, Nathaniel Trask
Summary: This article introduces a scientific machine learning framework that uses a partition of unity architecture to model physics through control volume analysis. The framework can extract reduced models from full field data while preserving the physics. It is applicable to manifolds in arbitrary dimension and has been demonstrated effective in specific problems.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Nozomi Magome, Naoki Morita, Shigeki Kaneko, Naoto Mitsume
Summary: This paper proposes a novel strategy called B-spline based SFEM to fundamentally solve the problems of the conventional SFEM. It uses different basis functions and cubic B-spline basis functions with C-2-continuity to improve the accuracy of numerical integration and avoid matrix singularity. Numerical results show that the proposed method is superior to conventional methods in terms of accuracy and convergence.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Timothy R. Law, Philip T. Barton
Summary: This paper presents a practical cell-centred volume-of-fluid method for simulating compressible solid-fluid problems within a pure Eulerian setting. The method incorporates a mixed-cell update to maintain sharp interfaces, and can be easily extended to include other coupled physics. Various challenging test problems are used to validate the method, and its robustness and application in a multi-physics context are demonstrated.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Xing Ji, Fengxiang Zhao, Wei Shyy, Kun Xu
Summary: This paper presents the development of a third-order compact gas-kinetic scheme for compressible Euler and Navier-Stokes solutions, constructed particularly for an unstructured tetrahedral mesh. The scheme demonstrates robustness in high-speed flow computation and exhibits excellent adaptability to meshes with complex geometrical configurations.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Alsadig Ali, Abdullah Al-Mamun, Felipe Pereira, Arunasalam Rahunanthan
Summary: This paper presents a novel Bayesian statistical framework for the characterization of natural subsurface formations, and introduces the concept of multiscale sampling to localize the search in the stochastic space. The results show that the proposed framework performs well in solving inverse problems related to porous media flows.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Jacob Rains, Yi Wang, Alec House, Andrew L. Kaminsky, Nathan A. Tison, Vamshi M. Korivi
Summary: This paper presents a novel method called constrained optimized DMD with Control (cOptDMDc), which extends the optimized DMD method to systems with exogenous inputs and can enforce the stability of the resulting reduced order model (ROM). The proposed method optimally places eigenvalues within the stable region, thus mitigating spurious eigenvalue issues. Comparative studies show that cOptDMDc achieves high accuracy and robustness.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Andrea La Spina, Jacob Fish
Summary: This work introduces a hybridizable discontinuous Galerkin formulation for simulating ideal plasmas. The proposed method couples the fluid and electromagnetic subproblems monolithically based on source and employs a fully implicit time integration scheme. The approach also utilizes a projection-based divergence correction method to enforce the Gauss laws in challenging scenarios. Numerical examples demonstrate the high-order accuracy, efficiency, and robustness of the proposed formulation.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Junhong Yue, Peijun Li
Summary: This paper proposes two numerical methods (IP-FEM and BP-FEM) to study the flexural wave scattering problem of an arbitrary-shaped cavity on an infinite thin plate. These methods successfully decompose the fourth-order plate wave equation into the Helmholtz and modified Helmholtz equations with coupled conditions on the cavity boundary, providing an effective solution to this challenging problem.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
William Anderson, Mohammad Farazmand
Summary: We develop fast and scalable methods, called RONS, for computing reduced-order nonlinear solutions. These methods have been proven to be highly effective in tackling challenging problems, but become computationally prohibitive as the number of parameters grows. To address this issue, three separate methods are proposed and their efficacy is demonstrated through examples. The application of RONS to neural networks is also discussed.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Marco Caliari, Fabio Cassini
Summary: In this paper, a second order exponential scheme for stiff evolutionary advection-diffusion-reaction equations is proposed. The scheme is based on a directional splitting approach and uses computation of small sized exponential-like functions and tensor-matrix products for efficient implementation. Numerical examples demonstrate the advantage of the proposed approach over state-of-the-art techniques.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Sebastiano Boscarino, Seung Yeon Cho, Giovanni Russo
Summary: This work proposes a high order conservative semi-Lagrangian method for the inhomogeneous Boltzmann equation of rarefied gas dynamics. The method combines a semi-Lagrangian scheme for the convection term, a fast spectral method for computation of the collision operator, and a high order conservative reconstruction and a weighted optimization technique to preserve conservative quantities. Numerical tests demonstrate the accuracy and efficiency of the proposed method.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)
Article
Computer Science, Interdisciplinary Applications
Jialei Li, Xiaodong Liu, Qingxiang Shi
Summary: This study shows that the number, centers, scattering strengths, inner and outer diameters of spherical shell-structured sources can be uniquely determined from the far field patterns. A numerical scheme is proposed for reconstructing the spherical shell-structured sources, which includes a migration series method for locating the centers and an iterative method for computing the inner and outer diameters without computing derivatives.
JOURNAL OF COMPUTATIONAL PHYSICS
(2024)