Search Results - finite volume methods for initial value and initial-boundary value problems involving des*

Semi-implicit Eulerian Method for the Fluid Structure Interaction of Elastic Membranes: Semi-implicit Eulerian method for the fluid structure interaction of elastic membranes

Authors: Ciallella, Mirco Milcent, Thomas

Source: SIAM Journal on Scientific Computing. 47:A1555-A1578

Subject Terms: Finite volume methods for initial value and initial-boundary value problems involving PDEs, Navier-Stokes equations for incompressible viscous fluids, Nonlinear elasticity, semi-implicit, FOS: Mathematics, fluid-structure interaction, immersed boundary, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Fictitious domain methods for initial value and initial-boundary value problems involving PDEs, incompressible Navier-Stokes, Eulerian elasticity

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Access URL: http://arxiv.org/abs/2310.19352
https://zbmath.org/8037168
https://doi.org/10.1137/23m1612512

Affine-Invariant WENO Operator on Nonuniform Cartesian Mesh with Application to Finite Volume and Discontinuous Galerkin Methods: Affine-invariant WENO operator on nonuniform Cartesian mesh with application to finite volume and discontinuous Galerkin methods

Authors: Xiang, Xiao-Shuo Wang, Bao-Shan Gao, Zhen et al.

Source: Journal of Scientific Computing. 102

Subject Terms: WENO, Finite volume methods for boundary value problems involving PDEs, Finite volume methods applied to problems in fluid mechanics, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Euler equations, Numerical quadrature and cubature formulas, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs, affine-invariant, finite volume scheme, Finite volume methods for initial value and initial-boundary value problems involving PDEs, DG method, Hyperbolic conservation laws, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, nonuniform mesh, Finite element methods applied to problems in fluid mechanics

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A Data-Driven Reconstruction for Unstructured Finite Volume Method on Multi-Dimensional Compressible Flows: A data-driven reconstruction for unstructured finite volume method on multi-dimensional compressible flows

Authors: Joo, Jayeon Kim, Dongseok You, Hojun et al.

Source: Communications in Computational Physics. 36:1307-1338

Subject Terms: machine learning, Finite volume methods for initial value and initial-boundary value problems involving PDEs, Learning and adaptive systems in artificial intelligence, tree model, shock-capturing method, Gas dynamics (general theory), Finite volume methods applied to problems in fluid mechanics, fully-connected neural network, Artificial neural networks and deep learning

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How to enforce an entropy inequality of (fully) well-balanced Godunov-type schemes for the shallow water equations

Authors: Martaud, Ludovic Berthon, Christophe

Source: ESAIM: Mathematical Modelling and Numerical Analysis. 59:955-997

Subject Terms: shallow water equations, Finite volume methods for initial value and initial-boundary value problems involving PDEs, well-balanced schemes, finite volume schemes, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, discrete entropy stability

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Approximating Numerical Fluxes Using Fourier Neural Operators for Hyperbolic Conservation Laws: Approximating numerical fluxes using Fourier neural operators for hyperbolic conservation laws

Authors: Kim, Taeyoung Kang, Myungjoo

Source: Communications in Computational Physics. 37:420-456

Subject Terms: FOS: Computer and information sciences, Computer Science - Machine Learning, scientific machine learning, numerical analysis, Numerical Analysis (math.NA), PDE, neural operator, Machine Learning (cs.LG), 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, FNO, Mathematics - Numerical Analysis, conservation laws, Artificial neural networks and deep learning

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Access URL: http://arxiv.org/abs/2401.01783
https://zbmath.org/8033882
https://doi.org/10.4208/cicp.oa-2024-0123

High-Order Well-Balanced Methods for the Euler Equations of Gas Dynamics with Gravitational Forces and the Ripa Model: High-order well-balanced methods for the Euler equations of gas dynamics with gravitational forces and the Ripa model

Authors: I. Gómez-Bueno M. J. Castro C. Parés

Source: RIUMA. Repositorio Institucional de la Universidad de Málaga
Universidad de Málaga

Subject Terms: Hydrology, hydrography, oceanography, finite volume methods, Método de los volúmenes finitos, Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, reconstruction operators, Gas dynamics (general theory), Ecuaciones Euler, Compressible Euler equations, compressible Euler equations, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, High-order methods, Finite volume methods for initial value and initial-boundary value problems involving PDEs, Reconstruction operators, Finite-volume methods, Dinámica de gases, Finite volume methods for boundary value problems involving PDEs, Finite volume methods applied to problems in fluid mechanics, Euler equations, PDEs in connection with geophysics, high-order methods, Análisis matemático, well-balanced methods, Ripa model, Well-balanced methods, Análisis numérico

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Access URL: https://hdl.handle.net/10630/37656
https://zbmath.org/7983279
https://doi.org/10.1007/s10915-024-02781-1

A Semi-discrete Active Flux Method for the Euler Equations on Cartesian Grids: A semi-discrete active flux method for the Euler equations on Cartesian grids

Authors: Abgrall, Remi Barsukow, Wasilij Klingenberg, Christian et al.

Contributors: Abgrall, Remi Barsukow, Wasilij Klingenberg, Christian et al.

Source: Journal of Scientific Computing. 102

Subject Terms: Method of lines for initial value and initial-boundary value problems involving PDEs, Keywords Compressible Euler equations · Active flux · High, Finite volume methods for boundary value problems involving PDEs, Finite volume methods applied to problems in fluid mechanics, Numerical Analysis (math.NA), Euler equations, compressible Euler equations, 1712 Software, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, 10123 Institute of Mathematics, 510 Mathematics, 2604 Applied Mathematics, Finite volume methods for initial value and initial-boundary value problems involving PDEs, active flux, order methods Mathematics Subject Classification 65M08 · 65M20 · 65M70 · 76M12, high-order methods, 65M08, 65M20, 65M70, 76M12, 2200 General Engineering, Existence, uniqueness, and regularity theory for incompressible inviscid fluids, FOS: Mathematics, Mathematics - Numerical Analysis, 2614 Theoretical Computer Science, 2612 Numerical Analysis, 2605 Computational Mathematics, 1703 Computational Theory and Mathematics

File Description: application/xml; Abgrall2025_ASemiDiscreteActiveFluxMethod.pdf - application/pdf

Access URL: http://arxiv.org/abs/2310.00683
https://zbmath.org/7969181
https://doi.org/10.1007/s10915-024-02749-1

Optimal control approach for moving bottom detection in one‐dimensional shallow waters by surface measurements: Optimal control approach for moving bottom detection in one-dimensional shallow waters by surface measurements

Authors: R. Lecaros J. López‐Ríos G. I. Montecinos et al.

Source: Mathematical Methods in the Applied Sciences. 47:13973-14004

Subject Terms: shallow water models, Water waves, gravity waves, dispersion and scattering, nonlinear interaction, bottom detection, Mathematics - Analysis of PDEs, Finite volume methods for initial value and initial-boundary value problems involving PDEs, finite volume methods, non-conservative hyperbolic systems, Existence, uniqueness, and regularity theory for incompressible inviscid fluids, Optimality conditions for problems involving partial differential equations, 49K20, 76B15, 76B03, 65M08, Mathematics - Numerical Analysis, Mathematics - Optimization and Control

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Access URL: http://arxiv.org/abs/2401.17239

Structure preserving hybrid Finite Volume Finite Element method for compressible MHD: Structure preserving hybrid finite volume finite element method for compressible MHD

Authors: Francesco Fambri Eric Sonnendrücker

Source: Journal of Computational Physics. 523:113691

Subject Terms: J.2, finite element exterior calculus (FEEC), G.1, semi-implicit, FOS: Physical sciences, Finite volume methods applied to problems in fluid mechanics, viscous resistive MHD, Numerical Analysis (math.NA), Physics - Plasma Physics, Plasma Physics (physics.plasm-ph), Finite volume methods for initial value and initial-boundary value problems involving PDEs, 65M60, 76M10, 85-08 (Primary) 65M12, 65M08, 76M12 (Secondary), structure preserving, all Mach, FOS: Mathematics, Magnetohydrodynamics and electrohydrodynamics, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Mathematics - Numerical Analysis, F.2.1, Astrophysics - Instrumentation and Methods for Astrophysics, finite volume, Instrumentation and Methods for Astrophysics (astro-ph.IM), Finite element methods applied to problems in fluid mechanics

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Access URL: http://arxiv.org/abs/2407.14141
https://zbmath.org/7986908
https://doi.org/10.1016/j.jcp.2024.113691

The High Order Augmented Finite Volume Methods Based on Series Expansion for Nonlinear Degenerate Parabolic Equations: The high order augmented finite volume methods based on series expansion for nonlinear degenerate parabolic equations

Authors: Yetong Li Tengjin Zhao Zhiyue Zhang et al.

Source: Journal of Scientific Computing. 88

Subject Terms: Asymptotic approximations, asymptotic expansions (steepest descent, etc.), Finite volume methods for boundary value problems involving PDEs, improved augmented methods, finite volume method, high order, Degenerate parabolic equations, Symbolic computation and algebraic computation, 01 natural sciences, nonlinear degenerate parabolic equations, Finite volume methods for initial value and initial-boundary value problems involving PDEs, multi-augmented variables, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Puiseux series expansion, 0101 mathematics

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Access URL: https://zbmath.org/7359306
https://doi.org/10.1007/s10915-021-01519-7
https://dblp.uni-trier.de/db/journals/jscic/jscic88.html#LiZZW21
https://link.springer.com/article/10.1007/s10915-021-01519-7

Bound preserving Lax-Wendroff flux reconstruction method for special relativistic hydrodynamics

Authors: Sujoy Basak Arpit Babbar Harish Kumar et al.

Source: Journal of Computational Physics. 527:113815

Subject Terms: Quantum hydrodynamics and relativistic hydrodynamics, Method of lines for initial value and initial-boundary value problems involving PDEs, Finite volume methods for initial value and initial-boundary value problems involving PDEs, admissibility preservation, FOS: Mathematics, G.1.8, Lax-Wendroff flux reconstruction, Finite volume methods applied to problems in fluid mechanics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), relativistic hydrodynamics, 65M60

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Access URL: http://arxiv.org/abs/2409.15805

An Energy Stable Well‐Balanced Scheme for the Barotropic Euler System With Gravity Under the Anelastic Scaling: An energy stable well-balanced scheme for the barotropic Euler system with gravity under the anelastic scaling

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

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Access URL: http://arxiv.org/abs/2405.00559

Characterization of the forcing and sub-filter scale terms in the volume-filtering immersed boundary method

Authors: Himanshu Dave Marcus Herrmann Peter Brady et al.

Source: Journal of Computational Physics. 525:113765

Subject Terms: volume filtering, immersed boundary method, Finite volume methods for initial value and initial-boundary value problems involving PDEs, Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs, Fluid Dynamics (physics.flu-dyn), FOS: Mathematics, FOS: Physical sciences, Mathematics - Numerical Analysis, Physics - Fluid Dynamics, Numerical Analysis (math.NA)

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Access URL: http://arxiv.org/abs/2407.09720
https://zbmath.org/8021070
https://doi.org/10.1016/j.jcp.2025.113765

A Higher-Order Chimera Method for Finite Volume Schemes: A higher-order Chimera method for finite volume schemes

Authors: Ramírez, Luis Nogueira, Xesús Ouro, Pablo et al.

Contributors: Ramírez, Luis Nogueira, Xesús Ouro, Pablo et al.

Source: Ramírez, L, Nogueira, X, Ouro, P, Navarrina, F, Khelladi, S & Colominas, I 2018, 'A Higher-Order Chimera Method for Finite Volume Schemes', Archives of Computational Methods in Engineering, vol. 25, no. 3, pp. 691-706. https://doi.org/10.1007/s11831-017-9213-8

Subject Terms: High-order methods, Sciences de l'ingénieur: Mécanique: Mécanique des fluides, Finite volume methods for initial value and initial-boundary value problems involving PDEs, Moving Least Squares, 0103 physical sciences, [SPI.MECA.MEFL] Engineering Sciences [physics]/Mechanics [physics.med-ph]/Fluids mechanics [physics.class-ph], Finite volume methods applied to problems in fluid mechanics, Chimera overset grids, Navier-Stokes equations, 0101 mathematics, Euler equations, 01 natural sciences

File Description: application/xml; application/pdf

Access URL: https://hal.archives-ouvertes.fr/hal-02470959/file/DYNFLUID_ACME_2018_KHELLADI.pdf
https://hal.archives-ouvertes.fr/hal-02470959
https://sam.ensam.eu/handle/10985/18046
https://hal.archives-ouvertes.fr/hal-02470959/document
http://orca.cf.ac.uk/id/eprint/104324
https://link.springer.com/article/10.1007/s11831-017-9213-8
https://www.research.manchester.ac.uk/portal/en/publications/a-higherorder-chimera-method-for-finite-volume-schemes(d2d66423-e297-4d36-87a5-eada8efe55bd).html
http://hdl.handle.net/10985/18046

Derivation and travelling wave analysis of phenotype-structured haptotaxis models of cancer invasion

Authors: Tommaso Lorenzi Fiona R. Macfarlane Kevin J. Painter et al.

Contributors: Tommaso Lorenzi Fiona R. Macfarlane Kevin J. Painter et al.

Source: European Journal of Applied Mathematics, Vol 36, Pp 231-263 (2025)

Subject Terms: 0301 basic medicine, Cell biology, haptotaxis models of cancer invasion, PDEs in connection with biology, chemistry and other natural sciences, T-NDAS, 35Q92, Haptotaxis models of cancer invasion, Individual-based models, partial integro-differential equations, travelling wave analysis, phenotypic diversity, 92B05, Traveling wave solutions, 03 medical and health sciences, Mathematics - Analysis of PDEs, SDG 3 - Good Health and Well-being, Finite volume methods for initial value and initial-boundary value problems involving PDEs, Phenotypic diversity, QA1-939, FOS: Mathematics, QA Mathematics, QA, Computational methods for problems pertaining to biology, individual-based models, 0303 health sciences, Asymptotic behavior of solutions to PDEs, 35C07, 92C17, 3. Good health, Integro-partial differential equations, Population dynamics (general), Partial integro-differential equation, Cell movement (chemotaxis, etc.), Travelling wave analysis, 92-08, Mathematics, Analysis of PDEs (math.AP)

File Description: application/xml; application/pdf

Access URL: http://arxiv.org/abs/2310.19933
https://doaj.org/article/7a43bb723cfa4888ad7c15d7fa310dd5
https://www.cambridge.org/core/journals/european-journal-of-applied-mathematics/article/derivation-and-travelling-wave-analysis-of-phenotypestructured-haptotaxis-models-of-cancer-invasion/8A17BBEA6440D62018671D21C896B256
https://doi.org/10.1017/s0956792524000056
https://hdl.handle.net/11583/2986662
https://hdl.handle.net/10023/29385

Quantifying the checkerboard problem to reduce numerical dissipation

Authors: Hopman, Johannes Arend Santos Serrano, Daniel Alsalti Baldellou, Àdel et al.

Contributors: Hopman, Johannes Arend Santos Serrano, Daniel Alsalti Baldellou, Àdel et al.

Source: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

Subject Terms: collocated grids, Collocated grids, Fluid Dynamics (physics.flu-dyn), FOS: Physical sciences, Finite volume methods applied to problems in fluid mechanics, Physics - Fluid Dynamics, Computational Physics (physics.comp-ph), 01 natural sciences, Checkerboarding, Àrees temàtiques de la UPC::Física::Física de fluids, Finite volume methods for initial value and initial-boundary value problems involving PDEs, Conservative discretisation, conservative discretisation, 0103 physical sciences, checkerboarding, Physics - Computational Physics

File Description: application/pdf; application/xml

Access URL: http://arxiv.org/abs/2408.06821
https://zbmath.org/7974281
https://doi.org/10.1016/j.jcp.2024.113537
https://hdl.handle.net/2117/417803
https://doi.org/10.1016/j.jcp.2024.113537

A comparative study of high‐resolution methods for nonlinear hyperbolic problems: A comparative study of high-resolution methods for nonlinear hyperbolic problems

Authors: Ruchika Lochab Vivek Kumar

Source: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 102

Subject Terms: finite volume methods, numerical analysis, Finite volume methods for boundary value problems involving PDEs, flux limiters, Finite volume methods applied to problems in fluid mechanics, hyperbolic conservation laws, PDEs in connection with fluid mechanics, Shock waves and blast waves in fluid mechanics, high-resolution schemes, 01 natural sciences, Finite difference methods applied to problems in fluid mechanics, 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, 0103 physical sciences, 0101 mathematics

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A semi-implicit exactly fully well-balanced relaxation scheme for the Shallow Water Linearized Moment Equations: A semi-implicit exactly fully well-balanced relaxation scheme for the shallow water linearized moment equations

Authors: C. Caballero-Cárdenas I. Gómez-Bueno A. Del Grosso et al.

Source: RIUMA. Repositorio Institucional de la Universidad de Málaga
Universidad de Málaga
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Subject Terms: SAINT-VENANT SYSTEM, ACCURACY, Shallow water moment equations, MODELS, Fully exactly well-balanced schemes, relaxation schemes, FINITE-VOLUME METHODS, First-order nonlinear hyperbolic equations, NUMBER, Magnetohidrodinámica, Finite volume methods for initial value and initial-boundary value problems involving PDEs, semi-implicit schemes, IMPLICIT, Semi-implicit schemes, FOS: Mathematics, NUMERICAL-METHODS, Mathematics - Numerical Analysis, LARGE TIME-STEP, Relaxation schemes, ORDER, Finite volume methods applied to problems in fluid mechanics, Numerical Analysis (math.NA), Mathematics and Statistics, DERIVATION, shallow water moment equations, fully exactly well-balanced schemes, Análisis numérico

File Description: application/xml; application/pdf

Access URL: http://arxiv.org/abs/2501.07946
https://hdl.handle.net/10630/38536
https://zbmath.org/8013260
https://doi.org/10.1016/j.cma.2025.117788
https://biblio.ugent.be/publication/01JZ0BEV97C68G38TTYN53DXJR
https://biblio.ugent.be/publication/01JZ0BEV97C68G38TTYN53DXJR/file/01JZ0BFE8SFAQ3GV4TGTTBV0SJ
http://hdl.handle.net/1854/LU-01JZ0BEV97C68G38TTYN53DXJR
http://doi.org/10.1016/j.cma.2025.117788

New high-resolution-preserving sliding mesh techniques for higher-order finite volume schemes

Authors: Ramírez, Luis Foulquié, Charles Nogueira, Xesús et al.

Contributors: Ramírez, Luis Foulquié, Charles Nogueira, Xesús et al.

Source: Computers & Fluids. 118:114-130

Subject Terms: Sciences de l'ingénieur: Mécanique: Mécanique des fluides, Navier-Stokes equations for incompressible viscous fluids, [PHYS.MECA.BIOM] Physics [physics]/Mechanics [physics]/Biomechanics [physics.med-ph], [SPI.MECA.MEFL] Engineering Sciences [physics]/Mechanics [physics.med-ph]/Fluids mechanics [physics.class-ph], Finite volume methods applied to problems in fluid mechanics, Sliding mesh, 01 natural sciences, sliding mesh, Moving least-squares, Finite volume methods for initial value and initial-boundary value problems involving PDEs, Unstructured grid, High-order finite volume scheme, 0103 physical sciences, Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs, unstructured grid, Compressible fluids and gas dynamics, moving least-squares, high-order finite volume scheme

File Description: application/xml; application/pdf

Access URL: https://hal.archives-ouvertes.fr/hal-02444683/file/DYNFLUID_CF_2015_KHELLADI.pdf
https://hal.archives-ouvertes.fr/hal-01459725
https://www.sciencedirect.com/science/article/pii/S0045793015001917
http://hdl.handle.net/10985/17818

A finite element/volume method model of the depth‐averaged horizontally 2D shallow water equations: A finite element/volume method model of the depth-averaged horizontally 2D shallow water equations

Authors: Yoshioka, Hidekazu Unami, Koichi Fujihara, Masayuki et al.

Contributors: Yoshioka, Hidekazu Unami, Koichi Fujihara, Masayuki et al.

Source: International Journal for Numerical Methods in Fluids. 75:23-41

Subject Terms: Water waves, gravity waves, dispersion and scattering, nonlinear interaction, Finite volume methods for initial value and initial-boundary value problems involving PDEs, fully explicit temporal integration, 0103 physical sciences, Finite volume methods applied to problems in fluid mechanics, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, 2D SWEs, finite element/volume method, 01 natural sciences, 6. Clean water, Finite element methods applied to problems in fluid mechanics, approximate matrix inversion method

File Description: application/xml; application/pdf

Access URL: https://repository.kulib.kyoto-u.ac.jp/dspace/bitstream/2433/198579/1/fld.3882.pdf
http://onlinelibrary.wiley.com/doi/10.1002/fld.3882/full
http://repository.kulib.kyoto-u.ac.jp/dspace/bitstream/2433/198579/1/fld.3882.pdf
http://ci.nii.ac.jp/naid/120005619773
https://repository.kulib.kyoto-u.ac.jp/dspace/handle/2433/198579
https://ui.adsabs.harvard.edu/abs/2014IJNMF..75...23Y/abstract
https://onlinelibrary.wiley.com/doi/10.1002/fld.3882/abstract