Search Results - finite volume methods applied to problems in applied mechanics*

A Parallel Fully Implicit Unstructured Finite Volume Lattice Boltzmann Method for Incompressible Flows: A parallel fully implicit unstructured finite volume lattice Boltzmann method for incompressible flows

Authors: Xu, Lei Chen, Rongliang Cai, Xiao-Chuan

Source: Communications in Computational Physics. 37:547-574

Subject Terms: Incompressible viscous fluids, Turbulence, lattice Boltzmann equation, fully implicit method, parallel computing, Particle methods and lattice-gas methods, Finite volume methods applied to problems in fluid mechanics, unstructured grids, Newton-Krylov-Schwarz

File Description: application/xml

Access URL: https://zbmath.org/8033886
https://doi.org/10.4208/cicp.oa-2023-0019

Semi-implicit Hybrid Finite Volume/Finite Element Method for the GPR Model of Continuum Mechanics: Semi-implicit hybrid finite volume/finite element method for the GPR model of continuum mechanics

Authors: Saray Busto Laura Río-Martín Universidade de Santiago de Compostela. Departamento de Matemática Aplicada

Contributors: Saray Busto Laura Río-Martín Universidade de Santiago de Compostela. Departamento de Matemática Aplicada

Source: Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
Universidad de Santiago de Compostela (USC)

Subject Terms: Finite element methods, Continuum mechanics, numerical convergence analysis, smooth acoustic wave, fluid/solid circular explosion, spherical explosion, Gas dynamics (general theory), Finite volume methods applied to problems in fluid mechanics, structure-preserving scheme, Numerical Analysis (math.NA), Riemann problem, Finite volume methods, GPR model, FOS: Mathematics, Mathematics - Numerical Analysis, Semi-implicit structure-preserving scheme, Finite element methods applied to problems in fluid mechanics

File Description: application/pdf; application/xml

Access URL: http://arxiv.org/abs/2407.00823
https://hdl.handle.net/10347/40972
https://zbmath.org/7975322
https://doi.org/10.1007/s10915-024-02770-4
https://link.springer.com/article/10.1007/s10915-024-02770-4
https://hdl.handle.net/11572/444390
https://doi.org/10.1007/s10915-024-02770-4

The application of upwind meshless approximation finite volume method to the convection dominated problems on the unstructured and deformed meshes

Authors: C.K. Chou C.T. Wu L.H. Shen et al.

Source: Engineering Analysis with Boundary Elements. 155:717-737

Subject Terms: Finite volume methods for initial value and initial-boundary value problems involving PDEs, upwind scheme, deformed mesh, Navier-Stokes equations for incompressible viscous fluids, Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs, convection-diffusion equation, unstructured mesh, meshless method, finite volume method, Finite volume methods applied to problems in fluid mechanics

File Description: application/xml

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

File Description: application/xml

Finite volume approximations of shear shallow water model on unstructured grids

Authors: Tiwari, Shashwat Nkonga, Boniface Chandrashekar, Praveen et al.

Contributors: Tiwari, Shashwat Nkonga, Boniface Chandrashekar, Praveen et al.

Source: The SMAI Journal of computational mathematics. 10:229-261

Subject Terms: [SDE] Environmental Sciences, Water waves, gravity waves, dispersion and scattering, nonlinear interaction, shear flow, [MATH] Mathematics [math], Finite volume methods applied to problems in fluid mechanics, PDEs in connection with fluid mechanics, non-conservative system, Shock waves and blast waves in fluid mechanics, 01 natural sciences, shallow flow, 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, 0103 physical sciences, 0101 mathematics

File Description: application/xml; application/pdf

Access URL: https://hal.science/hal-04403870v1/document
https://hal.science/hal-04403870v1
https://doi.org/10.5802/smai-jcm.112

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

File Description: application/xml

A vertex‐based finite volume method applied to non‐linear material problems in computational solid mechanics: A vertex-based finite volume method applied to nonlinear material problems in computational solid mechanics

Authors: Taylor, GA Bailey, C Cross, M

Source: International Journal for Numerical Methods in Engineering. 56:507-529

Subject Terms: Vertex-based, 0203 mechanical engineering, infinitesimal strains, Computational solid mechanics, Finite volume methods applied to problems in solid mechanics, 0103 physical sciences, Galerkin FE method, 02 engineering and technology, Finite volume, 01 natural sciences

File Description: application/xml

Access URL: http://bura.brunel.ac.uk/bitstream/2438/10691/1/FullText.pdf
https://gala.gre.ac.uk/id/eprint/676/
https://cronfa.swan.ac.uk/Record/cronfa1968
http://ui.adsabs.harvard.edu/abs/2003IJNME..56..507T/abstract
https://bura.brunel.ac.uk/bitstream/2438/10691/1/FullText.pdf
https://onlinelibrary.wiley.com/doi/10.1002/nme.574
https://onlinelibrary.wiley.com/doi/10.1002/nme.574/abstract
https://cronfa.swan.ac.uk/Record/cronfa1968
http://bura.brunel.ac.uk/handle/2438/10691

A parallel domain decomposition-based implicit finite volume lattice Boltzmann method for incompressible thermal convection flows on unstructured grids

Authors: Lei Xu Rongliang Chen Linyan Gu et al.

Source: Journal of Computational and Applied Mathematics. 465:116578

Subject Terms: Free convection, implicit backward Euler temporal scheme, concentric annulus flow, Particle methods and lattice-gas methods, Diffusive and convective heat and mass transfer, heat flow, Finite volume methods applied to problems in fluid mechanics, Parallel numerical computation, preconditioned Newton-Krylov algorithm, cavity flow

File Description: application/xml

Virtual Body-Fitted Grid-Based Immersed Boundary Velocity Correction Method for Simulation of Incompressible Flows with Moving Boundaries: Virtual body-fitted grid-based immersed boundary velocity correction method for simulation of incompressible flows with moving boundaries

Authors: Du, Yinjie Yang, Liming Xiao, Yang et al.

Source: Communications in Computational Physics. 37:643-674

Subject Terms: immersed boundary method, Navier-Stokes equations for incompressible viscous fluids, velocity correction, incompressible flows, Finite volume methods applied to problems in fluid mechanics, moving boundaries, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), virtual body-fitted grid

File Description: application/xml

Access URL: https://zbmath.org/8033890
https://doi.org/10.4208/cicp.oa-2023-0229

Well-balanced and positivity-preserving wet-dry front reconstruction scheme for Ripa models

Authors: Wang, Xue Chen, Guoxian

Source: Applied Numerical Mathematics. 213:38-60

Subject Terms: steady states, finite volume scheme, Hyperbolic conservation laws, well-balanced scheme, wet-dry reconstruction, Ripa systems, Finite volume methods applied to problems in fluid mechanics

File Description: application/xml

Well-Balanced Fifth-Order Finite Volume WENO Schemes with Constant Subtraction Technique for Shallow Water Equations: Well-balanced fifth-order finite volume WENO schemes with constant subtraction technique for shallow water equations

Authors: Zhao, Lidan Tao, Zhanjing Zhang, Min

Source: Journal of Scientific Computing. 102

Subject Terms: Hydrology, hydrography, oceanography, Water waves, gravity waves, dispersion and scattering, nonlinear interaction, Geophysical flows, WENO, shallow water equations, Positive solutions to PDEs, Finite volume methods applied to problems in fluid mechanics, Numerical Analysis (math.NA), PDEs in connection with fluid mechanics, constant subtraction technique, Finite volume methods for initial value and initial-boundary value problems involving PDEs, FOS: Mathematics, Mathematics - Numerical Analysis, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, well-balanced

File Description: application/xml

Access URL: http://arxiv.org/abs/2411.11241

An all Mach number semi-implicit hybrid Finite Volume/Virtual Element method for compressible viscous flows on Voronoi meshes: An all Mach number semi-implicit hybrid finite volume/virtual element method for compressible viscous flows on Voronoi meshes

Authors: Walter Boscheri Saray Busto Michael Dumbser et al.

Contributors: Walter Boscheri Saray Busto Michael Dumbser et al.

Source: Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
Universidad de Santiago de Compostela (USC)

Subject Terms: Fluid Dynamics (physics.flu-dyn), FOS: Physical sciences, 65M08, 65M60, 76N06, Finite volume methods applied to problems in fluid mechanics, Asymptotic preserving, Physics - Fluid Dynamics, Numerical Analysis (math.NA), asymptotic preserving, Pressure-based projection method, All Mach number flow solver, 01 natural sciences, all Mach number flow solver, virtual element method, finite volume scheme, pressure-based projection method, Finite volume scheme, FOS: Mathematics, Virtual element method, High order in space and time, Mathematics - Numerical Analysis, Compressible fluids and gas dynamics, high order in space and time, 0101 mathematics, Finite element methods applied to problems in fluid mechanics

File Description: application/pdf; application/xml

Access URL: http://arxiv.org/abs/2405.13441
https://hdl.handle.net/10347/40750
https://zbmath.org/7967166
https://doi.org/10.1016/j.cma.2024.117502

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

File Description: application/xml

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

New adaptive low-dissipation central-upwind schemes

Authors: Shaoshuai Chu Alexander Kurganov Igor Menshov

Source: Applied Numerical Mathematics. 209:155-170

Subject Terms: Finite volume methods for initial value and initial-boundary value problems involving PDEs, Euler equations of gas dynamics, Hyperbolic conservation laws, low-dissipation central-upwind schemes, FOS: Mathematics, smoothness indicator, dissipative limiters, Finite volume methods applied to problems in fluid mechanics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Shock waves and blast waves in fluid mechanics, overcompressive limiters

File Description: application/xml

Access URL: http://arxiv.org/abs/2307.13356
https://zbmath.org/7984888
https://doi.org/10.1016/j.apnum.2024.11.010

A novel fully implicit finite volume method applied to the lid‐driven cavity problem—Part I: High Reynolds number flow calculations: A novel fully implicit finite volume method applied to the lid-driven cavity problem. I: High Reynolds number flow calculations

Authors: Mehmet Sahin Robert G. Owens

Source: International Journal for Numerical Methods in Fluids. 42:57-77

Subject Terms: Navier-Stokes equations for incompressible viscous fluids, 0103 physical sciences, Finite volume methods applied to problems in fluid mechanics, Navier-Stokes equations, 01 natural sciences

File Description: application/xml

Access URL: https://ui.adsabs.harvard.edu/abs/2003IJNMF..42...57S/abstract
https://onlinelibrary.wiley.com/doi/10.1002/fld.442
http://discovery.ucl.ac.uk/187732/

A novel fully‐implicit finite volume method applied to the lid‐driven cavity problem—Part II: Linear stability analysis: A novel fully-implicit finite volume method applied to the lid-driven cavity problem. II: Linear stability analysis

Authors: Mehmet Sahin Robert G. Owens

Source: International Journal for Numerical Methods in Fluids. 42:79-88

Subject Terms: Hydrodynamic stability, Navier-Stokes equations for incompressible viscous fluids, Arnoldi's method, 0103 physical sciences, Finite volume methods applied to problems in fluid mechanics, Hopf bifurcation, critical Reynolds, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/2037612
https://doi.org/10.1002/fld.533
https://ui.adsabs.harvard.edu/abs/2003IJNMF..42...79S/abstract
https://onlinelibrary.wiley.com/doi/10.1002/fld.533/abstract
http://onlinelibrary.wiley.com/doi/10.1002/fld.533/abstract

Space–time adaptive ADER-DG finite element method with LST-DG predictor and a posteriori sub-cell ADER-WENO finite-volume limiting for multidimensional detonation waves simulation: Space-time adaptive ADER-DG finite element method with LST-DG predictor and \textit{a posteriori} sub-cell ADER-WENO finite-volume limiting for multidimensional detonation waves simulation

Authors: Popov, I. S.

Source: Computers & Fluids. 284:106425

Subject Terms: LST-DG predictor, Reaction effects in flows, HRS, a posteriori limitation, physical gas dynamics, FOS: Physical sciences, computational fluid dynamics, Applied Physics (physics.app-ph), reactive flows, PDEs in connection with fluid mechanics, Shocks and singularities for hyperbolic equations, Mathematics - Analysis of PDEs, FOS: Mathematics, Fluid mechanics, Mathematics - Numerical Analysis, HRSCS, Finite volume methods for boundary value problems involving PDEs, Fluid Dynamics (physics.flu-dyn), Finite volume methods applied to problems in fluid mechanics, detonation waves, Physics - Fluid Dynamics, Physics - Applied Physics, Numerical Analysis (math.NA), Computational Physics (physics.comp-ph), Waves in compressible fluids, Euler equations, Shock waves and blast waves in fluid mechanics, 76M10, 76M12, 65M60, 65N08, 76N30, 76V05, 76L05, 35L67, 35Q31, 35Q35, 35L40, ADER-DG, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Physics - Computational Physics, First-order hyperbolic systems, Finite element methods applied to problems in fluid mechanics, ADER-WENO-FV, Analysis of PDEs (math.AP)

File Description: application/xml

Access URL: http://arxiv.org/abs/2409.09911

Arbitrary-order unstructured finite-volume methods for implicit large eddy simulation of turbulent flows with adaptive dissipation/dispersion adjustment (ADDA)

Authors: Tsoutsanis, Panagiotis Nogueira, Xesus

Source: Journal of Computational Physics. 523:113653

Subject Terms: Finite volume methods for initial value and initial-boundary value problems involving PDEs, Direct numerical and large eddy simulation of turbulence, Finite volume methods applied to problems in fluid mechanics

File Description: application/xml

Access URL: https://zbmath.org/7986876
https://doi.org/10.1016/j.jcp.2024.113653

A NURBS-Enhanced Finite Volume Method for Steady Euler Equations with Goal-Oriented $h$-Adaptivity: A NURBS-enhanced finite volume method for steady Euler equations with goal-oriented \(h\)-adaptivity

Authors: Meng, Xucheng Hu, Guanghui

Source: Communications in Computational Physics. 32:490-523

Subject Terms: B-spline basis function, Computer-aided design (modeling of curves and surfaces), non-oscillatory k-exact reconstruction, NACA0012 airfoil, point inversion, Gas dynamics (general theory), Finite volume methods applied to problems in fluid mechanics, a posteriori error estimate, 0101 mathematics, 01 natural sciences, geometric multigrid method

File Description: application/xml

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