Article
Mathematics, Applied
Tarek Ghoudi, M. Shadi Mohamed, Mohammed Seaid
Summary: A new adaptive finite volume method is proposed for the simulation of wave problems in the time domain. The method discretizes the transient wave equations in time and space, and utilizes a vertex-centered finite volume method with both cell-centered and edge-midpoint. The method also includes a mesh adaptation procedure based on energy-norm error-estimates, allowing for multiple adaptations within a single error estimation.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2023)
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
Engineering, Civil
Wataru Ito, Keisuke Nakayama, Tetsuya Shintani
Summary: This study investigates the applicability of structured grids in simulating internal Kelvin and Poincare waves and finds that structured grids can reproduce internal waves more accurately compared to unstructured grids. By excluding the errors caused by open boundaries, the study provides valuable insights into grid selection for studying internal waves.
COASTAL ENGINEERING JOURNAL
(2021)
Article
Computer Science, Interdisciplinary Applications
Zahra Mehrdoost
Summary: The multiscale finite volume method is developed for discrete fracture modeling in highly heterogeneous porous media, with efficient algorithms devised for generating adaptive unstructured coarse grids. Significant improvement of the method in highly heterogeneous fractured porous media is achieved, with good accuracy in flow simulation in challenging test cases.
ENGINEERING WITH COMPUTERS
(2021)
Article
Engineering, Marine
Miguel Uh Zapata, Damien Pham Van Bang, Kim Dan Nguyen
Summary: This study presents a three-dimensional numerical modeling of sediment scouring on a vertical seawall under non-breaking wave impact, using various models and algorithms to calculate the interactions between waves and sediment. Experimental results were used to validate the effectiveness of the numerical simulation.
JOURNAL OF MARINE SCIENCE AND ENGINEERING
(2021)
Article
Computer Science, Interdisciplinary Applications
Bin Xie, Xi Deng, ShiJun Liao, Feng Xiao
Summary: In this article, a novel high-order multi-moment finite volume method (MMFVM) for solving linear and nonlinear hyperbolic systems on unstructured grids is proposed. The method, combining VPM-CLS scheme with AOD limiting projection technique, achieves high accuracy and non-oscillatory numerical results for discontinuous solutions.
JOURNAL OF COMPUTATIONAL PHYSICS
(2021)
Article
Computer Science, Interdisciplinary Applications
Bin Xie, Xi Deng, Feng Xiao
Summary: This paper proposes a novel high-order finite volume scheme for arbitrary unstructured grids. The scheme uses a multi-stage reconstruction procedure with a compact stencil to determine the coefficients of the reconstruction polynomial. The proposed method, FVMS4, improves solution accuracy without extending the reconstruction stencil, making it algorithmically simple and numerically efficient. By combining it with a limiting projection scheme, AOD, the method can handle smooth and discontinuous solutions, providing essentially non-oscillatory, less-dissipative and highly accurate results.
COMPUTERS & FLUIDS
(2022)
Article
Mathematics, Applied
Panagiotis Tsoutsanis, Ebenezer Mayowa Adebayo, Adrian Carriba Merino, Agustin Perez Arjona, Martin Skote
Summary: This paper extends the application of high-order finite-volume central-weighted essentially non-oscillatory (CWENO) schemes to multicomponent flows using the interface capturing paradigm, achieving high-order accurate and oscillation free solutions. The schemes are compact and perform well, but have limitations within the present interface-capturing implementation.
JOURNAL OF SCIENTIFIC COMPUTING
(2021)
Article
Computer Science, Interdisciplinary Applications
Antonis F. Antoniadis, Dimitris Drikakis, Pericles S. Farmakis, Lin Fu, Ioannis Kokkinakis, Xesus Nogueira, Paulo A. S. F. Silva, Martin Skote, Vladimir Titarev, Panagiotis Tsoutsanis
Summary: UCNS3D is an open-source computational solver for compressible flows on unstructured meshes, with the ability to implement state-of-the-art high-order methods in industrial-scale CFD problems. The paper presents the governing equations and numerical framework of UCNS3D, and validates its capabilities in terms of application spectrum, robustness, efficiency, and accuracy.
COMPUTER PHYSICS COMMUNICATIONS
(2022)
Article
Computer Science, Interdisciplinary Applications
Dongyang Zou, Aldo Bonfiglioli, Renato Paciorri, Jun Liu
Summary: This paper introduces a new technique called the "embedded shock-fitting technique" with the capability to insert or remove shocks during the calculation. By defining subsets of grid-points, which can act as common- or shock-points, the length of existing shocks can be varied or new shock-branches can appear as needed.
COMPUTERS & FLUIDS
(2021)
Article
Chemistry, Multidisciplinary
Jian Zhang, Zhe Dai, Ruitian Li, Liang Deng, Jie Liu, Naichun Zhou
Summary: Due to the complexity of unstructured CFD computing, parallelizing the finite volume method algorithms in shared memory for many-core GPUs is a significant challenge. Three parallel programming strategies and several data locality optimization methods were implemented and evaluated. The proposed methods achieved improved memory access performance and significant acceleration effects compared to CPU versions.
APPLIED SCIENCES-BASEL
(2023)
Article
Computer Science, Interdisciplinary Applications
Johannes Kromer, Dieter Bothe
Summary: This paper presents a new method for efficiently and accurately computing volume fractions on unstructured polyhedral meshes. The method utilizes a principal coordinate system to approximate the phase boundary as the graph of an osculating paraboloid within each mesh cell. By applying the GAUSSIAN divergence theorem recursively, volume integrals are analytically transformed into curve integrals associated with polyhedron faces, which can be numerically approximated using standard GAUSS-LEGENDRE quadrature. This face-based formulation enables the application of the method to unstructured meshes and simplifies the numerical procedure significantly for three-dimensional applications.
JOURNAL OF COMPUTATIONAL PHYSICS
(2023)
Article
Computer Science, Interdisciplinary Applications
Xiaohui Su, Mingliang Zhang, Degao Zou, Yong Zhao, Jiantao Zhang, Haoyang Su
Summary: This paper presents a novel finite volume model with unstructured mesh and implicit dual time stepping for simulating unsaturated infiltration flows. The proposed method discretizes the equation using a matrix-free fully implicit dual time stepping algorithm in time and a finite volume model with unstructured grid in space. The accuracy of the algorithm is verified using benchmark and engineering water infiltration cases, and its practical application demonstrates robustness, fast convergence, and high accuracy.
COMPUTERS AND GEOTECHNICS
(2022)
Article
Computer Science, Interdisciplinary Applications
Pablo Castrillo, Alfredo Canelas, Eugenio Schillaci, Joaquim Rigola, Asensio Oliva
Summary: This paper presents a high-order finite volume method using Moving Least Squares (MLS) and Local Regression Estimators (LRE) for solving linear elasticity problems on two-dimensional unstructured meshes. The method effectively solves structural problems affected by shear locking and demonstrates accuracy and flexibility through canonical tests and analytical examples.
COMPUTERS & STRUCTURES
(2022)
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)
Review
Meteorology & Atmospheric Sciences
Wei Zhang, Yu Sun, Yapeng Wu, Junyu Dong, Xiaojiang Song, Zhiyi Gao, Renbo Pang, Boyu Guoan
Summary: This study employed a spatiotemporal deep-learning method to correct biases in numerical ocean wave forecasts. By using a correction model driven by both wave and wind fields and a novel pixel-switch loss function, the corrected results performed well in different seasons and improved the accuracy of the original forecasts.
