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, Marine
Ruidong An, Zhenghua Gu, Tong Zhou, Chinghao Yu
Summary: This paper presents a level set re-distancing (NLS) method for simulating incompressible interfacial flows, aiming to preserve mass conservation and accurately predict interface evolution. The method advects the level set function using an advection equation and simulates the re-distancing equation with a proper mass-correction term. The performance and capabilities of the method are verified through benchmark tests and comparisons with existing results.
Article
Engineering, Multidisciplinary
S. Maarouf, C. Bernardi, D. Yakoubi
Summary: In this paper, a finite element level set method based on the method of characteristics is presented and analyzed for two phase flow with surface tension effects. The discretization uses a first order method of characteristics approach for the evolution of the level set function and the material derivative of the velocity. The decoupling of interface transport from the Navier-Stokes equations in each time step leads to well-posedness results for subproblems and error estimates under high regularity assumptions. Three computational examples demonstrate the performance of the proposed method.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Engineering, Marine
Hao-Liang Wen, Ching-Hao Yu, Tony Wen-Hann Sheu, Shiu-Wu Chau
Summary: This research paper presents a new interface-capturing solver for predicting two-phase flow in Cartesian meshes. The solver focuses on mass conservation and accurate capture of interface topology by introducing a mass-preserving level set advection equation. The key innovation lies in the incorporation of a scalar speed function for robust reconstruction of the level set equation. The effectiveness and reliability of the solver are demonstrated through benchmark problems.
Article
Computer Science, Interdisciplinary Applications
Xinglong Shang, Zhengyuan Luo, Bofeng Bai, Guoqing Hu
Summary: This research proposes a three-dimensional model to simulate the behavior of particle-covered droplets with soluble surfactants. The model incorporates a two-way coupling between surfactant transport and particle motion, considering the convection-diffusion equation. The study validates the model using previous numerical data and investigates the interplay between flow fields and interfaces associated with surfactant concentration and particle motion.
JOURNAL OF COMPUTATIONAL PHYSICS
(2023)
Article
Thermodynamics
Shahab Mirjalili, Suhas S. Jain, Ali Mani
Summary: This article discusses the interface transfer issue in two-phase flows involving heat/mass transfer. Two models are proposed to address the challenge of the undefined interface in phase field models, and their consistency, accuracy, and convergence are validated through numerical simulations. The results suggest that the two-scalar model is more accurate than the one-scalar model in cases with large diffusivity ratios.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
(2022)
Article
Computer Science, Interdisciplinary Applications
Jun Liu, Tobias Tolle, Dieter Bothe, Tomislav Maric
Summary: This study extends a method for handling two-phase flows with different densities and provides a theoretical basis for the numerical consistency between mass and momentum conservation. The proposed method demonstrates exact numerical stability for two-phase momentum advection and performs well in challenging fluid pairings.
JOURNAL OF COMPUTATIONAL PHYSICS
(2023)
Article
Computer Science, Interdisciplinary Applications
Amanda A. Howard, Alexandre M. Tartakovsky
Summary: The NCLS-FEST model is a conservative level set free-energy-based surface tension model for multiphase flow, ensuring conservation and minimizing overlaps and voids between fluid phases through a multiphase compression-diffusion equation, interface with constant width, and free-energy-based surface tension model. The model demonstrates accurate results in complex geometrical configurations, including triple lines in the liquid lens problem for three and four fluid phases, and extends to N-phase fluid-solid flow simulations.
JOURNAL OF COMPUTATIONAL PHYSICS
(2021)
Article
Engineering, Multidisciplinary
G. Singh, A. Kourmatzis, A. Lowe, A. R. Masri, H-K Chan, S. Cheng
Summary: This paper introduces a novel image processing methodology that extends the applicability of back-lit imaging to measure size and velocity in turbulent flows. The new method effectively matches droplets or particles of arbitrary shape and has been successfully applied in areas such as dry powder inhalation systems.
Article
Computer Science, Interdisciplinary Applications
Yadong Zeng, Anqing Xuan, Johannes Blaschke, Lian Shen
Summary: A unified adaptive level set framework for incompressible two-phase flows is developed using a multi-level collocated grid, along with synchronization operations and a multilevel re-initialization method. The framework shows good numerical implementation and mass conservation, successfully resolving various canonical problems. Additionally, efficiency and significant speedup are demonstrated in a three-dimensional dam breaking simulation.
JOURNAL OF COMPUTATIONAL PHYSICS
(2022)
Article
Computer Science, Interdisciplinary Applications
Chen Liu, Deep Ray, Christopher Thiele, Lu Lin, Beatrice Riviere
Summary: This paper presents an efficient numerical algorithm for modeling the flow of two phases with different densities, which successfully eliminates bulk shift, overshoot, and undershoot in the order parameter. The discrete order parameter's bound-preserving property is proved, and numerical results demonstrate the algorithm's effectiveness and robustness in simulating two-component immiscible flows.
JOURNAL OF COMPUTATIONAL PHYSICS
(2022)
Article
Computer Science, Interdisciplinary Applications
Felix Henri, Mathieu Coquerelle, Pierre Lubin
Summary: A robust and high order reinitialization strategy in a level set framework is introduced with the RCP method and a new algorithm for detecting ill-defined points, leading to improved accuracy and robustness of level set methods.
JOURNAL OF COMPUTATIONAL PHYSICS
(2022)
Article
Engineering, Multidisciplinary
Martin Smuda, Florian Kummer
Summary: This study presents a solver for two-dimensional instationary two-phase flows based on the extended discontinuous Galerkin method, which allows for an accurate representation of the Navier-Stokes equations in their sharp interface formulation. The method utilizes an extension velocity field and a two-staged algorithm for interface evolution, as well as a monolithic elliptic extension velocity method and fast-marching procedure for cut-cells. Spatial discretization is done using a symmetric interior penalty method and a moving interface approach is used for temporal discretization. The method is validated against various two-phase surface tension driven flow phenomena in a 2D setting.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2022)
Article
Computer Science, Interdisciplinary Applications
Suhas S. Jain
Summary: In this study, a novel phase-field model is proposed for accurately simulating two-phase flows. The model is conservative, bounded, and robust, conserving mass and ensuring bounded transport. Improved computation of surface tension forces reduces spurious velocities at the interface. The model exhibits discrete conservation of kinetic energy and is cost-effective compared to other conservative phase-field models.
JOURNAL OF COMPUTATIONAL PHYSICS
(2022)
Article
Computer Science, Artificial Intelligence
Guirong Weng, Bin Dong, Yu Lei
Summary: The proposed additive bias correction (ABC) model based on intensity inhomogeneity offers faster and more accurate segmentation of images with intensity inhomogeneity compared to traditional models, addressing issues such as slow segmentation speed and limited application fields.
EXPERT SYSTEMS WITH APPLICATIONS
(2021)
Article
Computer Science, Interdisciplinary Applications
Jianming Yang, Frederick Stern
JOURNAL OF COMPUTATIONAL PHYSICS
(2015)
Review
Mechanics
Frederick Stern, Wang Zhaoyuan, Yang Jianming, Hamid Sadat-Hosseini, Maysam Mousaviraad, Shanti Bhushan, Matteo Diez, Sung-Hwan Yoon, Wu Ping-Chen, Seong Mo Yeon, Timuri Dogan, Dong-Hwan Kim, Silvia Volpi, Michael Conger, Thad Michael, Xing Tao, Robert S. Thodal, Joachim L. Grenestedt
JOURNAL OF HYDRODYNAMICS
(2015)
Article
Engineering, Ocean
Sung-Hwan Yoon, Dong-Hwan Kim, Hamid Sadat-Hosseini, Jianming Yang, Frederick Stern
APPLIED OCEAN RESEARCH
(2016)
Article
Engineering, Ocean
Seong Mo Yeon, Jianming Yang, Frederick Stern
APPLIED OCEAN RESEARCH
(2016)
Article
Mechanics
Zhaoyuan Wang, Jianming Yang, Frederick Stern
JOURNAL OF FLUID MECHANICS
(2016)
Review
Mechanics
Jianming Yang
JOURNAL OF HYDRODYNAMICS
(2016)
Article
Computer Science, Interdisciplinary Applications
Jianming Yang, Frederick Stern
JOURNAL OF COMPUTATIONAL PHYSICS
(2017)
Article
Mechanics
Thad Michael, Jianming Yang, Frederick Stern
JOURNAL OF HYDRODYNAMICS
(2017)
Article
Computer Science, Interdisciplinary Applications
Zhaoyuan Wang, Frederick Stern
Summary: A geometric VOF method is implemented on static/dynamic overset grids using a new VOF interpolation algorithm. The interface is reconstructed in the fringe cells of the overset grids, and the VOF value is calculated based on the reconstructed interface. Gravity and surface tension forces are implemented using a VOF based ghost fluid method. Numerical tests and application examples demonstrate the capability and superiority of the VOF based numerical methods for predicting violent ship flows.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
(2022)
Article
Mechanics
Yugo Sanada, Sungtek Park, Dong-Hwan Kim, Zhaoyuan Wang, Frederick Stern, Hironori Yasukawa
Summary: The hull-propeller-rudder interaction of the Korea Research Institute of Ships & Ocean Engineering Container Ship was studied through a combination of experimental fluid dynamics (EFD) and computational fluid dynamics (CFD) methods. The study found that the propeller is more heavily loaded with reduced efficiency in port and starboard turning, leading to differences in hull vortices, propeller load, propeller efficiency, and drift angle between the two directions. The analysis also showed that the lateral (Y) force is reduced during turning, inducing a larger drift angle and more speed loss.
Article
Engineering, Marine
Sungtek Park, Zhaoyuan Wang, Frederick Stern, Nicholas Husser, Stefano Brizzolara, Michael Morabito, Evan Lee
Summary: CFD verification and validation studies were conducted on high-speed stepped planing hulls using single- and two-phase flow solvers, providing insights into their design capability and identifying areas for further experimental and CFD research. The results from both solvers were found to be reasonably accurate and can be used for design purposes.
Article
Mathematics, Applied
Jianming Yang
SIAM JOURNAL ON SCIENTIFIC COMPUTING
(2019)
Article
Engineering, Marine
Zhongshu Ren, Zhaoyuan Wang, Fred Stern, Carolyn Judge, Christine Ikeda-Gilbert
JOURNAL OF SHIP RESEARCH
(2019)
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)