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Oceanography
Kai Logemann, Leonidas Linardakis, Peter Korn, Corinna Schrum
Summary: The study used the global ocean circulation model ICON-O to simulate the global tide and evaluated the quality of coastal tide simulation. The results indicate that the quality of coastal tide simulation primarily depends on coastal resolution, while ocean interior can be resolved up to twenty times lower resolution without significant reduction in quality.
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Geochemistry & Geophysics
Hormoz Jahandari, Peter Lelievre, Colin G. Farquharson
Summary: An effective solver for the direct-current (DC) resistivity forward-modeling problem is developed using the mimetic finite-difference method on unstructured meshes. Adaptive and parallel cell-based (CB) and vertex-based (VB) mimetic schemes are used, with iterative h-refinement and goal-oriented error estimators. The accuracy and efficiency of the mimetic schemes are validated through benchmark examples, and a grid-based mesh generation technique is also developed.
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Mathematics, Interdisciplinary Applications
Tao Yang, Li-Bin Liu, Xiaobing Bao, Yong Zhang
Summary: This article studied a nonlinear fractional differential equation with a Caputo derivative, discretizing it using the L1 scheme and constructing a new adaptive grid generation algorithm based on truncation error estimation and mesh equidistribution principles.
FRACTAL AND FRACTIONAL
(2022)
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Engineering, Civil
Gonzalo Garcia-Alen, Jose Gonzalez-Cao, Diego Fernandez-Novoa, Moncho Gomez-Gesteira, Luis Cea, Jeronimo Puertas
Summary: This study examines the influence of Digital Terrain Model (DTM) accuracy and resolution on the results and runtime of a hydrological model. The results suggest a correlation between the vertical accuracy of the DTM and its horizontal resolution.
JOURNAL OF HYDROLOGY
(2022)
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Meteorology & Atmospheric Sciences
Andrew M. Moore, Julia Levin, Hernan G. Arango, John Wilkin
Summary: This study explores the efficacy of an ocean observing, analysis, and forecasting system for the Mid-Atlantic Bight and the Gulf of Maine using the concept of array modes. The array modes help quantify the impact of the ocean observing system across different dynamical regimes. Specifically, in situ observations from the U.S. National Science Foundation's Ocean Observatories Initiative Pioneer Array significantly influence the veracity of the analyses and forecasts.
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Mathematics, Applied
Bingzhen Zhou, Bo Wang, Li-Lian Wang, Ziqing Xie
Summary: In this paper, a hybridizable discontinuous triangular spectral element method (HDTSEM) using tensorial nodal basis functions on unstructured meshes is proposed and analyzed. The method allows for mismatch in nodal points across elements, reduces global degrees of freedom, and maintains the high accuracy and mesh adaptivity of a typical spectral element method.
NUMERICAL ALGORITHMS
(2022)
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Engineering, Electrical & Electronic
Kouceila Alkama, Gerard Meunier, Olivier Chadebec, Jean-Michel Guichon, Bertrand Bannwarth, Enrico Vialardi, Jonathan Siau, Remy Perrin-Bit
Summary: An adaptive mesh refinement procedure is proposed for efficiently addressing low-frequency electromagnetic problems using the unstructured partial element equivalent circuit (PEEC) method. The procedure includes a posteriori error estimator based on an equilibrated energy criterion, and an auxiliary method for calculating a second admissible solution. The effectiveness of the procedure is demonstrated through two test cases, highlighting the potential of the unstructured PEEC method for modeling complex devices.
IEEE TRANSACTIONS ON MAGNETICS
(2022)
Article
Computer Science, Interdisciplinary Applications
Francesca Basile, Jean-Baptiste Chapelier, Marta de la Llave Plata, Romain Laraufie, Pascal Frey
Summary: This paper presents h- and hp-adaptive strategies for the discontinuous Galerkin formulation of the compressible laminar and Reynolds-averaged Navier-Stokes equations on unstructured grids, relying on a metric-based simplicial remeshing approach. The adaptation algorithms are assessed for various flow scenarios and demonstrate improved accuracy compared to uniformly refined simulations with a given number of degrees of freedom and polynomial degrees. The choice of refining in h or p is based on a smoothness indicator derived from the decay of modal coefficients in each element.
COMPUTERS & FLUIDS
(2022)
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Mathematics, Applied
Tomoaki Okayama, Shota Ogawa
Summary: This study proposes two improved selection formulas for the DE-Sinc approximation method, aiming to enhance its performance. Numerical comparisons show that the second formula provides better error bounds compared to the standard and first formulas.
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS
(2023)
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Statistics & Probability
Guilhem Balvet, Jean-Pierre Minier, Christophe Henry, Yelva Roustan, Martin Ferrand
Summary: The purpose of this paper is to propose a time-step-robust cell-to-cell integration method for particle trajectories in 3D unstructured meshes. The main idea is to dynamically update mean fields used in time integration by splitting the time step into sub-steps corresponding to particle cell residence times. A virtual particle is introduced to estimate residence times without anticipating the future of the Wiener process. The algorithm is validated on two test cases: particle dispersion in a statistically uniform flow and particle dynamics in a non-uniform flow.
MONTE CARLO METHODS AND APPLICATIONS
(2023)
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Marine & Freshwater Biology
Wenrui Huang, Scott Hagen, Peter Bacopoulos, Dingbao Wang
ESTUARINE COASTAL AND SHELF SCIENCE
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Ecology
Karim Alizad, Scott C. Hagen, James T. Morris, Peter Bacopoulos, Matthew V. Bilskie, John F. Weishampel, Stephen C. Medeiros
ECOLOGICAL MODELLING
(2016)
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Environmental Sciences
Peter Bacopoulos, Ethan J. Kubatko, Scott C. Hagen, Andrew T. Cox, Teddy Mulamba
ENVIRONMENTAL FLUID MECHANICS
(2017)
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Engineering, Civil
Peter Bacopoulos, Yin Tang, Dingbao Wang, Scott C. Hagen
JOURNAL OF HYDROLOGIC ENGINEERING
(2017)
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Engineering, Civil
Peter Bacopoulos
JOURNAL OF HYDROLOGY
(2017)
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Geosciences, Multidisciplinary
Henok K. Demissie, Peter Bacopoulos
JOURNAL OF MARINE SYSTEMS
(2017)
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Meteorology & Atmospheric Sciences
Peter Bacopoulos, Scott C. Hagen
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Oceanography
Peter Bacopoulos
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Water Resources
Hitoshi Tamura, Peter Bacopoulos, Dingbao Wang, Scott C. Hagen, Ethan J. Kubatko
ADVANCES IN WATER RESOURCES
(2014)
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Environmental Sciences
Scott C. Hagen, Peter Bacopoulos, Andrew T. Cox, Vincent J. Cardone
JOURNAL OF COASTAL RESEARCH
(2012)
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Environmental Sciences
Wenrui Huang, Scott C. Hagen, Peter Bacopoulos, Fei Teng
JOURNAL OF COASTAL RESEARCH
(2014)
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Environmental Sciences
Peter Bacopoulos, Scott C. Hagen
JOURNAL OF COASTAL RESEARCH
(2014)
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Environmental Sciences
Wenrui Huang, Scott Hagen, Peter Bacopoulos
JOURNAL OF COASTAL RESEARCH
(2014)
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Engineering, Civil
Scott C. Hagen, James T. Morris, Peter Bacopoulos, John F. Weishampel
JOURNAL OF WATERWAY PORT COASTAL AND OCEAN ENGINEERING
(2013)
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Engineering, Marine
Peter Bacopoulos, James David Lambert, Mary Hertz, Luis Montoya, Terry Smith
JOURNAL OF MARINE SCIENCE AND ENGINEERING
(2014)