Article
Mathematics, Applied
Myles Morelli, Tommaso Bellosta, Alberto Guardone
Summary: This paper presents a method to update the moving ice boundary resulting from aircraft icing simulations using radial basis function mesh deformation techniques, which reduces computational cost through state-of-the-art surface and volume point reduction schemes. The study evaluates the capabilities of radial basis function mesh deformation for both two and three-dimensional problems, showing good performance in both dimensions.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
(2021)
Article
Computer Science, Interdisciplinary Applications
Hong Fang, He Zhang, Fanli Shan, Ming Tie, Xing Zhang, Jinghua Sun
Summary: The GCB greedy algorithm significantly improves the efficiency of computing interpolation errors in mesh deformation by reducing computational complexity. The algorithm shows effectiveness and stability through theoretical analysis and specific case studies.
JOURNAL OF COMPUTATIONAL PHYSICS
(2021)
Article
Nuclear Science & Technology
Xue Miao, Zhaoshun Wang, Ying Zhu, Zhangcheng Jiang, Lingyu Dong, Mingyu Wu, Changjun Hu
Summary: In the reactor core, the vibration of the fuel assembly caused by fluid pressure changes the distribution of the coolant, resulting in fluid structure interaction. To improve the efficiency and accuracy of mesh deformation in the fluid domain, a local modified mesh deformation based on radial basis functions (LMMD-RBF) is proposed. It calculates the displacement and updates the position of nodes in local areas with large deformation and employs a two-level hash mechanism for acceleration. Experimental results show that deformation mainly occurs near the outer surface and wire winding of the fuel rod.
NUCLEAR ENGINEERING AND DESIGN
(2023)
Article
Chemistry, Multidisciplinary
Changchuan Xie, Sijia Jia, Yingjie Li, Chao An, Chao Yang
Summary: The paper presents a new approach for evaluating mesh quality based on the mapping process between initial and deformed mesh, accurately revealing changes in angles and areas without specific node coordinates and connectivity information. Compared to traditional mesh-based methods, this approach shows higher applicability and accuracy in evaluating deformed mesh quality.
APPLIED SCIENCES-BASEL
(2021)
Article
Computer Science, Interdisciplinary Applications
J. Thewlis, D. Stevens, H. Power, D. Giddings, P. Gowland, M. Vloeberghs
Summary: This study introduces a four-dimensional local radial basis function interpolation method for reconstructing complex flow phenomena in medical image velocimetry datasets. The proposed method shows promising results in both experiments and applications, offering a potential tool for medical diagnoses and drug delivery.
COMPUTER METHODS AND PROGRAMS IN BIOMEDICINE
(2023)
Article
Engineering, Aerospace
Liang Xie, Zhicong Kang, Haifeng Hong, Zhihua Qiu, Biao Jiang
Summary: A new mesh deformation method, namely the dual-restricted RBF algorithm, is proposed in this study. This algorithm improves the efficiency of the mesh deformation process by introducing a constraint function for stationary wall preservation.
AEROSPACE SCIENCE AND TECHNOLOGY
(2022)
Article
Multidisciplinary Sciences
Jingwei Liu, Peixuan Li, Xuehan Tang, Jiaxin Li, Jiaming Chen
Summary: By introducing Wavelet Neural Network (WNN) and Wavelet-based Convolutional Neural Network (WCNN), the problems of BPNN and RBFNN can be solved and the performance of neural networks can be improved. The proposed Convolutional Wavelet Neural Network (CWNN) based on WNN effectively reduces the mean square error and error rate of CNN, achieving better maximum precision than CNN.
SCIENTIFIC REPORTS
(2021)
Article
Engineering, Aerospace
Kangdi Li, Yunxiang Du, Zili Xu, Shizhi Zhao, Lu Cheng
Summary: This paper proposes an efficient Fluid-Structure Interaction (FSI) method to predict blade flutter under traveling wave modes. The method rapidly solves for flow mesh deformation and blade vibration response, and introduces a phase-lagged boundary condition. Results show that the method effectively predicts aerodynamic damping, aerodynamic force, and blade displacement characteristics.
CHINESE JOURNAL OF AERONAUTICS
(2023)
Article
Engineering, Aerospace
Weixing Yuan, Rimple Sandhu, Dominique Poirel
Summary: A coupled computational fluid dynamics and computational structural dynamics capability was developed for transonic aeroelasticity analysis in the time domain. A morphing technique was developed for mesh deformation in CFD to expedite application of the CFD solver for aeroelastic simulations. The use of 3D elasticity in the simulations enables consideration of complex aircraft configurations.
JOURNAL OF AEROSPACE ENGINEERING
(2021)
Article
Engineering, Aerospace
Marco Evangelos Biancolini, Corrado Groth, Stefano Porziani, Andrea Chiappa, Francesco Giorgetti, Fabrizio Nicolosi, Ubaldo Cella
Summary: The coupling of finite-element method solutions and fluid dynamic solvers for high-fidelity fluid-structure interaction numerical methods involves challenges that impact both the robustness and accuracy of the tools. The European research project aimed to enhance the accuracy of numerical FSI procedures by addressing critical issues like interpolation errors in mapping and developing a mapping procedure, along with validating FSI methodologies in aeronautical structural modeling. Using radial basis functions, the project addressed solver coupling problems and developed a mesh morphing technique to adapt the CFD domain, showcasing the tool's capability to capture a typical wing box structure's stress state and deformation under aerodynamic loads.
JOURNAL OF AEROSPACE ENGINEERING
(2021)
Article
Engineering, Marine
Dong-Sheng Jeng, Xiaoxiao Wang, Chia-Cheng Tsai
Summary: This study developed a mesh-free model to investigate the dynamic soil response around a submerged breakwater, validated the model's effectiveness, and conducted a parametric study. The research found that an increase in wave period and wave height leads to a deeper liquefaction depth, while low degree of saturation and soil permeability increase the risk of seabed liquefaction.
JOURNAL OF MARINE SCIENCE AND ENGINEERING
(2021)
Article
Mathematics, Applied
Ming-Jian Li
Summary: A numerical approach has been developed to investigate fluid-rigid body interaction issues with free surfaces, showing higher accuracy compared to a built-in solver. Validation cases have confirmed the effectiveness of this method in solving fluid-structure interaction problems with free surfaces.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2021)
Article
Computer Science, Interdisciplinary Applications
Leonardo Geronzi, Emanuele Gasparotti, Katia Capellini, Ubaldo Cella, Corrado Groth, Stefano Porziani, Andrea Chiappa, Simona Celi, Marco Evangelos Biancolini
Summary: The article discusses the investigation of fluid-structure interaction using nonlinear finite element models and computational fluid dynamics, emphasizing the management of wetted surface interfaces and information exchange between structural and fluid computational grids. It also presents a new method based on radial basis functions for mesh morphing, allowing for a continuum update of shape. The study of the complex motion of a Polymeric-Prosthetic Heart Valve (P-PHV) demonstrates the application of the new method.
JOURNAL OF COMPUTATIONAL SCIENCE
(2021)
Article
Materials Science, Multidisciplinary
Luwei Yang, Neng Ren, Chinnapat Panwisawas, Jun Li, Mingxu Xia, Hongbiao Dong, Jianguo Li
Summary: This study combines the cellular automaton-finite volume approach and the displacement-based finite element method to simulate dendrite growth, fluid flow, and flow-induced mechanical deformation in Al-4.5 wt%Cu alloy. The results show that fluid flow can cause visible mechanical bending of dendrites, and the stress increases with the enhancement of fluid flow. The primary dendritic trunk is the primary location of deformation under parallel fluid flow. The bridging of secondary dendrites impedes the development of stress concentrations.
JOURNAL OF MATERIALS RESEARCH AND TECHNOLOGY-JMR&T
(2023)
Article
Engineering, Multidisciplinary
Daniele Boffi, Fabio Credali, Lucia Gastaldi
Summary: We study a recent formulation for fluid-structure interaction problems based on the use of a distributed Lagrange multiplier in the spirit of the fictitious domain approach. Our attention is focused on the accurate computation of the interface matrix for the finite element discretization, which is crucial for ensuring optimal convergence of the method.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Engineering, Aerospace
Robert E. Harris, Eric M. Collins, Edward A. Luke, Adrian Sescu, Louise L. Strutzenberg, Jeffrey S. West
Article
Engineering, Aerospace
Robert E. Harris, Eric M. Collins, Edward A. Luke, Adrian Sescu
Article
Mechanics
Vasileios Sassanis, Adrian Sescu, Eric M. Collins, Robert E. Harris, Edward A. Luke
INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS
(2017)
Article
Engineering, Aerospace
Xialoing Tong, David Thompson, Qiuhan Arnoldus, Eric Collins, Edward Luke
JOURNAL OF AIRCRAFT
(2017)
Article
Mathematics, Applied
Eric M. Collins, Edward A. Luke
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
(2013)
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)
