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1Academic Journal
Authors: Guo-Dong Zhang, Xiaoming He, Xiaofeng Yang
Source: SIAM Journal on Scientific Computing. 47:B28-B58
Subject Terms: unconditional energy stability, decoupled, second-order, magnetic field, General theory of rotating fluids, PDEs in connection with fluid mechanics, Finite difference methods applied to problems in fluid mechanics, Suspensions, finite element, Magnetohydrodynamics and electrohydrodynamics, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Finite element methods applied to problems in fluid mechanics, ferrohydrodynamics
File Description: application/xml
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2Academic Journal
Authors: Erik Burman, Deepika Garg, Johnny Guzman
Source: Mathematical Models and Methods in Applied Sciences. 34:2709-2747
Subject Terms: high Reynolds number, implicit-explicit times marching, error estimates, Oseen's equations, FOS: Mathematics, fractional-step methods, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), 0101 mathematics, stabilized finite elements, 01 natural sciences, Finite difference methods applied to problems in fluid mechanics, Stokes and related (Oseen, etc.) flows
File Description: application/xml
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3Academic Journal
Authors: Shashkin, V. V., Goyman, G. S., Tretyak, I. D.
Source: Lobachevskii Journal of Mathematics. 45:3159-3172
Subject Terms: Geophysical flows, Computational methods for problems pertaining to geophysics, Finite difference methods for initial value and initial-boundary value problems involving PDEs, numerical weather prediction, Parallel numerical computation, meteorology, Meteorology and atmospheric physics, Euler equations, Finite difference methods applied to problems in fluid mechanics, climate modeling
File Description: application/xml
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4Academic Journal
Authors: K. Varatharaj, R. Tamizharasi
Source: The Journal of Analysis. 33:121-138
Subject Terms: wall couple stress, temperature distribution, skin friction coefficient, Radiative heat transfer, Flows in porous media, filtration, seepage, Non-Newtonian fluids, local Nusselt/Sherwood number, Magnetohydrodynamics and electrohydrodynamics, Diffusive and convective heat and mass transfer, heat flow, Finite difference methods applied to problems in fluid mechanics, finite difference method
Linked Full TextFile Description: application/xml
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5Academic Journal
Authors: Trevor Kickliter, Vishal Acharya, Tim Lieuwen
Source: Journal of Fluid Mechanics. 1007
Subject Terms: asymptotic analysis, quasi-one-dimensional model, second-order finite difference method, perturbation method, Asymptotic methods, singular perturbations applied to problems in fluid mechanics, Shock waves and blast waves in fluid mechanics, shock reflection/transmission, Finite difference methods applied to problems in fluid mechanics, Rankine-Hugoniot relation
Linked Full TextFile Description: application/xml
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6Academic Journal
Authors: Conghai Wu, Yong Luo, Hu Li, Shuaibin Han, Yimin Wang
Source: Computational and Applied Mathematics. 44
Subject Terms: WENO scheme, Finite difference methods for initial value and initial-boundary value problems involving PDEs, smoothness indicator, shock capturing scheme, Finite difference methods applied to problems in fluid mechanics, low-dissipation scheme
Linked Full TextFile Description: application/xml
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7Academic Journal
Authors: Alexander Westermann, Oleg Davydov, Andriy Sokolov, Stefan Turek
Source: International Journal for Numerical Methods in Engineering. 126
Subject Terms: Finite difference methods for boundary value problems involving PDEs, convergence rate, optimal stability, driven cavity flow, Moffatt eddy, Stability and convergence of numerical methods for boundary value problems involving PDEs, radial basis function, Finite difference methods applied to problems in fluid mechanics, Stokes and related (Oseen, etc.) flows
File Description: application/xml
Linked Full Text -
8Academic Journal
Authors: Chetan Singh, Anshu Yadav, Deepak Bhoriya, Harish Kumar, Dinshaw S. Balsara
Source: Journal of Scientific Computing. 102
Subject Terms: Method of lines for initial value and initial-boundary value problems involving PDEs, symmetrization, entropy stability, Numerical Analysis (math.NA), PDEs in connection with fluid mechanics, Shock waves and blast waves in fluid mechanics, Finite difference methods applied to problems in fluid mechanics, 65M06, 65M12, 65M20, 76P99 and 76W05, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Ionized gas flow in electromagnetic fields, plasmic flow, FOS: Mathematics, Magnetohydrodynamics and electrohydrodynamics, Mathematics - Numerical Analysis, higher-order finite difference schemes, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Weak solutions to PDEs, CGL equations
File Description: application/xml
Linked Full TextAccess URL: http://arxiv.org/abs/2406.04783
https://zbmath.org/7975324
https://doi.org/10.1007/s10915-024-02763-3 -
9Academic Journal
Authors: Xinjuan Chen, Jiaxi Gu, Jae-Hun Jung
Source: Journal of Scientific Computing. 102
Subject Terms: Finite volume methods for boundary value problems involving PDEs, Gas dynamics (general theory), Finite volume methods applied to problems in fluid mechanics, Numerical Analysis (math.NA), Euler equations, Finite difference methods applied to problems in fluid mechanics, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Finite volume methods for initial value and initial-boundary value problems involving PDEs, Hyperbolic conservation laws, Finite difference methods for initial value and initial-boundary value problems involving PDEs, FOS: Mathematics, Runge-Kutta method, weighted essentially non-oscillatory scheme, Mathematics - Numerical Analysis, finite volume, nonlinear weights
File Description: application/xml
Linked Full TextAccess URL: http://arxiv.org/abs/2310.05679
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10Academic Journal
Authors: Rui Li, Chen-Song Zhang, Zhangxin Chen
Source: Journal of Scientific Computing. 102
Subject Terms: Flows in porous media, filtration, seepage, free flow, dual-porosity poroelasticity model, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, PDEs in connection with fluid mechanics, Stokes and related (Oseen, etc.) flows, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), Finite difference methods applied to problems in fluid mechanics, interface conditions, error estimates, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Soil and rock mechanics, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Finite element methods applied to problems in fluid mechanics, discontinuous Galerkin
Linked Full TextFile Description: application/xml
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11Academic Journal
Authors: K. R. Arun, Mainak Kar
Source: Numerical Methods for Partial Differential Equations. 41
Subject Terms: energy stability, Finite volume methods for boundary value problems involving PDEs, Asymptotic behavior of solutions to PDEs, MAC grid, Euler equations with gravity, finite volume method, Numerical Analysis (math.NA), Nonlinear elliptic equations, asymptotic preserving, Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics, Euler equations, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, A priori estimates in context of PDEs, Finite difference methods applied to problems in fluid mechanics, Integro-partial differential equations, Finite volume methods for initial value and initial-boundary value problems involving PDEs, Finite difference methods for initial value and initial-boundary value problems involving PDEs, anelastic limit, FOS: Mathematics, Primary 35L50, 35L60, 35L65, 35L67, Secondary 65M08, 65M12, Mathematics - Numerical Analysis, Weak solutions to PDEs, well-balanced, Finite element methods applied to problems in fluid mechanics
File Description: application/xml
Linked Full TextAccess URL: http://arxiv.org/abs/2405.00559
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12Academic Journal
Authors: Wasilij Barsukow, Mario Ricchiuto, Davide Torlo
Contributors: Ricchiuto, Mario
Source: Numerical Methods for Partial Differential Equations. 41
Subject Terms: OSS, Hydro- and aero-acoustics, Numerical Analysis (math.NA), [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, PDE constrained optimization (numerical aspects), Euler equations, Numerical quadrature and cubature formulas, global flux quadrature, Finite difference methods applied to problems in fluid mechanics, stabilization, divergence preserving, finite elements, SUPG, very high-order, Numerical interpolation, Finite difference methods for initial value and initial-boundary value problems involving PDEs, FOS: Mathematics, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Mathematics - Numerical Analysis, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Finite element methods applied to problems in fluid mechanics
File Description: application/xml; application/pdf
Linked Full TextAccess URL: http://arxiv.org/abs/2407.10579
https://hal.science/hal-04779510v2/document
https://hal.science/hal-04779510v2 -
13Academic Journal
Authors: Liu, Lele, Zhang, Hong, Qian, Xu, Song, Songhe
Source: Numerical Mathematics: Theory, Methods and Applications. 17:855-881
Subject Terms: parameterized MPP flux limiter, maximum-principle-preserving, Hyperbolic conservation laws, Finite difference methods for initial value and initial-boundary value problems involving PDEs, convection-dominated diffusion equations, weighted compact nonlinear schemes, Finite difference methods applied to problems in fluid mechanics
File Description: application/xml
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14Academic Journal
Authors: Ayot, Valentin, Badsi, Mehdi, Barsamian, Yann, Crestetto, Anaïs, Crouseilles, Nicolas, Mehrenberger, Michel, Prost, Averil, Tayou-Fotso, Christian
Contributors: Crouseilles, Nicolas, Université de Bordeaux (UB), Équipe Calcul scientifique et Modélisation, Institut de Mathématiques de Bordeaux (IMB), Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1 (UB)-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS)-Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1 (UB)-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de Mathématiques Jean Leray (LMJL), Centre National de la Recherche Scientifique (CNRS)-Nantes université - UFR des Sciences et des Techniques (Nantes univ - UFR ST), Nantes Université - pôle Sciences et technologie, Nantes Université (Nantes Univ)-Nantes Université (Nantes Univ)-Nantes Université - pôle Sciences et technologie, Nantes Université (Nantes Univ)-Nantes Université (Nantes Univ), Nantes Université (Nantes Univ), École Européenne de Bruxelles, Multi-scale numerical geometric schemes (MINGUS), École normale supérieure - Rennes (ENS Rennes)-Centre Inria de l'Université de Rennes, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Institut de Recherche Mathématique de Rennes (IRMAR), Université de Rennes (UR)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-École normale supérieure - Rennes (ENS Rennes)-Université de Rennes 2 (UR2)-Centre National de la Recherche Scientifique (CNRS)-Institut Agro Rennes Angers, Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)-Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)-Université de Rennes (UR)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université de Rennes 2 (UR2)-Centre National de la Recherche Scientifique (CNRS)-Institut Agro Rennes Angers, Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)-Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro), Institut de Recherche Mathématique de Rennes (IRMAR), Institut de Mathématiques de Marseille (I2M), Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS), Aix Marseille Université (AMU), Laboratoire de Mathématiques de l'INSA de Rouen Normandie (LMI), Institut national des sciences appliquées Rouen Normandie (INSA Rouen Normandie), Institut National des Sciences Appliquées (INSA)-Normandie Université (NU)-Institut National des Sciences Appliquées (INSA)-Normandie Université (NU), Laboratoire Jean Alexandre Dieudonné (LJAD), Université Nice Sophia Antipolis (1965 - 2019) (UNS)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UniCA), Centre de Calcul Intensif d’Aix-Marseille is acknowledged for granting access to its high performancecomputing resources. This project has been supported by the French Federation for Magnetic FusionStudies (FR-FCM) and by the French ANR project MUFFIN ANR-19-CE46-0004. This work has been carried out within the framework of the EUROfusion Consortium, funded by the European Union via the Euratom Research and Training Programme (Grant Agreement No 101052200 EUROfusion). Views and opinions expressed are however those of the author(s) only and do not necessarily reflect those of the European Union or the European Commission. Neither the European Union nor the European Commission can be held responsible for them. Finally, authors would like to thanks the CEMRACS organizers, Pierre Navaro for the computational support and the CIRM’s boards., ANR-19-CE46-0004,MUFFIN,Multiéchelle et Trefftz pour le transport numérique(2019), European Project: 101052200,Implementation of activities described in the Roadmap to Fusion during Horizon Europe through a joint programme of the members of the EUROfusion consortium,EUROfusion, École normale supérieure - Rennes (ENS Rennes)-Inria Rennes – Bretagne Atlantique
Source: ESAIM: Proceedings and Surveys, Vol 77, Pp 229-248 (2024)
Subject Terms: T57-57.97, Applied mathematics. Quantitative methods, [PHYS.PHYS.PHYS-COMP-PH] Physics [physics]/Physics [physics]/Computational Physics [physics.comp-ph], high-order semi-Lagrangian scheme, Basic methods in fluid mechanics, [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], Finite difference methods applied to problems in fluid mechanics, [PHYS.PHYS.PHYS-COMP-PH]Physics [physics]/Physics [physics]/Computational Physics [physics.comp-ph], QA1-939, Ionized gas flow in electromagnetic fields, plasmic flow, two-species Vlasov-Poisson model, first-order finite difference scheme, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA], Mathematics, Strang splitting
File Description: application/xml; application/pdf
Linked Full TextAccess URL: https://zbmath.org/7991183
https://doi.org/10.1051/proc/202477229
https://doaj.org/article/642a21d85650439c907bdf361bf5a9b5
https://inria.hal.science/hal-03926305v1/document
https://inria.hal.science/hal-03926305v1
https://doi.org/10.1051/proc/202477229 -
15Academic Journal
Authors: Thomann, Andrea, Iollo, Angelo, Puppo, Gabriella
Contributors: Iollo, Angelo
Source: SIAM Journal on Scientific Computing. 45:A2632-A2656
Subject Terms: Nonlinear elasticity, FOS: Physical sciences, Gas dynamics (general theory), [MATH] Mathematics [math], 01 natural sciences, Finite difference methods applied to problems in fluid mechanics, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), All-speed scheme, [PHYS] Physics [physics], Eulerian elasticity, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Finite volume methods for initial value and initial-boundary value problems involving PDEs, Finite volume methods applied to problems in solid mechanics, Finite difference methods for initial value and initial-boundary value problems involving PDEs, 0103 physical sciences, FOS: Mathematics, Mathematics - Numerical Analysis, 0101 mathematics, relaxation method, Finite volume methods for boundary value problems involving PDEs, Fluid Dynamics (physics.flu-dyn), Finite volume methods applied to problems in fluid mechanics, Physics - Fluid Dynamics, Numerical Analysis (math.NA), all-speed scheme, Euler equations, linearly implicit higher order methods, Finite difference methods applied to problems in solid mechanics, low Mach number limit, Numerical methods for stiff equations, Hyperbolic conservation laws, linearly implicit higher order schemes
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16Academic Journal
Authors: Wei Shyang Chang, Muna Mohammed Bazuhair, Farzad Ismail, Hossain Chizari, Mohammad Hafifi Hafiz Ishak
Source: Computers & Mathematics with Applications. 148:188-199
Subject Terms: Water waves, gravity waves, dispersion and scattering, nonlinear interaction, entropy-stable, Hyperbolic conservation laws, Finite difference methods for initial value and initial-boundary value problems involving PDEs, energy-stable, residual distribution, Finite volume methods applied to problems in fluid mechanics, Finite difference methods applied to problems in fluid mechanics, well-balanced
Linked Full TextFile Description: application/xml
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17Academic Journal
Authors: Zhang, Yang, Zhang, Fan
Source: Journal of Computational and Applied Mathematics. 462:116467
Subject Terms: multi-resolution weighted essentially non-oscillatory, positivity-preserving property, Harten-Lax-van Leer-contact Riemann solver, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Positive solutions to PDEs, Liquid-liquid two component flows, discontinuous Galerkin method, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics, PDEs in connection with fluid mechanics, Finite difference methods applied to problems in fluid mechanics, Finite element methods applied to problems in fluid mechanics
Linked Full TextFile Description: application/xml
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18Academic Journal
Authors: Wei Liu, Pengshan Wang, Gexian Fan
Source: Journal of Computational and Applied Mathematics. 462:116468
Subject Terms: Finite volume methods for initial value and initial-boundary value problems involving PDEs, Flows in porous media, filtration, seepage, Brinkman model, second-order algorithm, reactive transport, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Finite difference methods applied to problems in fluid mechanics, fractured porous media
Linked Full TextFile Description: application/xml
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19Academic Journal
Authors: Zhaowei Wang, Danxia Wang, Zixuan Wang, Jun Zhang, Hongen Jia
Source: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 105
Subject Terms: Heat equation, second-order backward difference formulation, first-order backward Euler method, Diffusive and convective heat and mass transfer, heat flow, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, PDEs in connection with fluid mechanics, 01 natural sciences, Finite difference methods applied to problems in fluid mechanics, time derivative term, Error bounds for initial value and initial-boundary value problems involving PDEs, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Magnetohydrodynamics and electrohydrodynamics, 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, incompressible MHD system
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Linked Full Text -
20Academic Journal
Contributors: Nikolayev, Vadim
Source: Journal of Fluid Mechanics. 1001
Subject Terms: linear stability analysis, capillary flows, Finite volume methods applied to problems in fluid mechanics, liquid film, 02 engineering and technology, front-tracking algorithm, mixed finite difference/volume method, 01 natural sciences, Finite difference methods applied to problems in fluid mechanics, Interfacial stability and instability in hydrodynamic stability, computational methods, cylindrical capillary, 0103 physical sciences, Capillarity (surface tension) for incompressible viscous fluids, direct numerical simulation, [PHYS.MECA.MEFL] Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph], [INFO.INFO-MO] Computer Science [cs]/Modeling and Simulation, Navier-Stokes equations, 0204 chemical engineering, Thin fluid films
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Linked Full Text