Article
Water Resources
B. Sridharan, Paul D. Bates, Dhrubajyoti Sen, Soumendra Nath Kuiry
Summary: Two-dimensional shallow water models are commonly used for flood risk assessment, but applying them to large urban areas can be costly due to the need for high-resolution simulations. To address this issue, researchers have proposed simplified models based on local-inertial formulations, with an unstructured grid-based model showing promise in overcoming limitations of structured grids and reducing computational costs.
ADVANCES IN WATER RESOURCES
(2021)
Article
Computer Science, Interdisciplinary Applications
Wanai Li
Summary: This paper proposes a new framework that combines quadrature-based and quadrature-free discontinuous Galerkin methods and applies them to triangular and tetrahedral grids. Four different DG schemes are derived by choosing specific test functions and collocation points, improving computational efficiency and ease of code implementation.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2024)
Article
Computer Science, Interdisciplinary Applications
Manuel Colera, Jaime Carpio, Rodolfo Bermejo
Summary: In this work, a novel Lagrange-Galerkin method is presented for solving compressible and inviscid flows. The method utilizes high-order continuous finite elements for spatial discretization, high-order implicit-explicit Runge-Kutta schemes for time discretization, and conserves mass, momentum, and total energy. It also incorporates subgrid stabilization and discontinuity-capturing operators based on Brenner's model for viscous flows. The method has been successfully tested on benchmark problems and demonstrates accurate results for both smooth and discontinuous solutions.
JOURNAL OF COMPUTATIONAL PHYSICS
(2022)
Article
Mathematics, Applied
S. Cacace, R. Ferretti
Summary: This study analyzes the main methods for characteristic location and proposes a technique to improve efficiency by using additional information related to the advecting vector field. This improvement significantly enhances execution times in the case of unstructured grids, expanding the applicability of large time-step schemes.
COMPUTATIONAL & APPLIED MATHEMATICS
(2022)
Article
Computer Science, Interdisciplinary Applications
Miguel Uh Zapata, Reymundo Itza Balam
Summary: This paper introduces a second-order unstructured finite-volume method developed to solve a conservative level-set equation in two-and three-dimensional geometries. The method shows good performance and accuracy in capturing interface problems, particularly in smooth framework resulting from the signed distance function.
JOURNAL OF COMPUTATIONAL PHYSICS
(2021)
Article
Computer Science, Interdisciplinary Applications
W. T. Taitano, L. Chacon, A. N. Simakov, S. E. Anderson
Summary: We developed a conservative moving-grid strategy for the Vlasov-Fokker-Planck equation in a planar geometry, ensuring discrete conservation of mass, momentum, and energy. Through a series of test cases, the algorithm was shown to efficiently resolve important physical structures in phase-space while controlling computational complexity.
COMPUTER PHYSICS COMMUNICATIONS
(2021)
Article
Engineering, Multidisciplinary
Stefano Pezzano, Regis Duvigneau
Summary: This work develops a high-order, fully conservative discretization method for sliding grids, which can be applied to compressible flows at different regimes. The proposed approach combines a discontinuous Galerkin formulation for Navier-Stokes equations with rational representations from Isogeometric Analysis, resulting in a watertight and fully conservative sliding grid algorithm. The method's convergence rate is rigorously established, and its accuracy and robustness are demonstrated for different flow regimes.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Mathematics, Interdisciplinary Applications
Pascal de Koster, Roel Tielen, Elizaveta Wobbes, Matthias Moller
Summary: The Material Point Method (MPM) combines a fixed Eulerian background grid and Lagrangian point masses to simulate materials undergoing large deformations. B-spline MPM (BSMPM) has been shown to be a viable alternative to MPM for reducing grid-crossing errors. This paper extends BSMPM to unstructured triangulations by combining MPM with C1-continuous high-order Powell-Sabin spline basis functions.
COMPUTATIONAL PARTICLE MECHANICS
(2021)
Article
Computer Science, Interdisciplinary Applications
Savinien Pertant, Manuel Bernard, Giovanni Ghigliotti, Guillaume Balarac
Summary: This paper presents a robust and accurate method for numerically simulating moving contact lines on complex boundaries with surface wettability effects. The method is validated on 2D and 3D test cases, demonstrating good mass conservation properties and the ability to handle realistic scenarios such as drop detachment from horizontal fibers using dynamic mesh adaptation.
JOURNAL OF COMPUTATIONAL PHYSICS
(2021)
Article
Meteorology & Atmospheric Sciences
Giorgia Verri, Ivano Barletta, Nadia Pinardi, Ivan Federico, Jacopo Alessandri, Giovanni Coppini
Summary: The unstructured grid model SHYFEM was used to study the impact of different vertical coordinate systems on key physical processes in coastal seas. The results showed that the z* coordinates produce stronger water column stratification and can better solve coastal sea dynamics. Idealized and realistic test cases supported these findings and confirmed the proper implementation of the GVC z* coordinate system. The high resolution provided by the z* formulation was crucial for accurately representing dynamical processes in the Po river delta coastal region.
Article
Engineering, Multidisciplinary
Siyi Qin, Michel Grediac, Benoit Blaysat, Shaopeng Ma, Frederic Sur
Summary: This study investigates the effect of sampling density of periodic patterns on noise level in displacement and strain maps using Localized Spectrum Analysis. The parameter is shown to influence noise level, with checkerboards having lower noise level than 2D grids, and the improvement increasing with higher sampling density.
Article
Biochemical Research Methods
Subin Qian, Huiyi Liu, Xiaofeng Yuan, Wei Wei, Shuangshuang Chen, Hong Yan
Summary: This paper proposes a biclustering method called RCSBC, which aims to find checkerboard patterns within gene expression data. By exploiting the relationship between the row/column structure of a gene expression matrix and the structure of biclusters, the method achieves low time and space complexity and outperforms existing algorithms in terms of clustering accuracy and time/space complexity.
IEEE-ACM TRANSACTIONS ON COMPUTATIONAL BIOLOGY AND BIOINFORMATICS
(2022)
Article
Geochemistry & Geophysics
Guoqing Ma, Tong Gao, Runxin Niu, Lili Li, Taihan Wang, Da Li
Summary: Cross-gradient joint inversion of gravity and seismic data can accurately reveal the characteristics of subsurface density and velocity structure, providing reliable geological information.
IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING
(2022)
Review
Multidisciplinary Sciences
Adnan Alhaj Hasan, Tuan M. Nguyen, Sergei P. Kuksenko, Talgat R. Gazizov
Summary: Since the end of the 19th century, radioelectronic devices (REDs) have become widely used in modern communities, thanks to advancements in radio engineering, electronics, computing, information, telecommunications, and other technologies. Antennas and microwave devices are the main elements of REDs, and they require continuous advancements with minimal costs. However, the complexity of the design and the tightening of electromagnetic compatibility requirements have made accurate designs impossible without computer modeling, which saves time and resources. Reducing the computational cost for the analysis and optimization of RED elements is an important scientific problem.
Article
Mathematics, Applied
T. K. Kozubskaya, L. N. Kudryavtseva, V. O. Tsvetkova
Summary: This paper proposes a methodology for anisotropic adaptation of a moving unstructured mesh to the surface of an object of arbitrary shape with account for its possible displacement. The adapted mesh can be used in problems of external flow, where the bodies in airflow are modeled as regions in a continuous medium with low permeability using the immersed boundary method. By using a pre-constructed octree and defining adaptation parameters at its nodes, dynamic adaptation with preserved original mesh topology is achieved.
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS
(2022)
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)