Search Results - "Finite difference methods applied to problems in fluid mechanics"

Efficient Fully Discrete Finite Element Scheme for the Ferrohydrodynamic Rosensweig Model and Simulations of Ferrofluid Rotational Flow Problems: Efficient fully discrete finite element scheme for the ferrohydrodynamic Rosensweig model and simulations of ferrofluid rotational flow problems

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

Implicit–explicit Crank–Nicolson scheme for Oseen’s equation at high Reynolds number: Implicit-explicit Crank-Nicolson scheme for Oseen's equation at high Reynolds number

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

Access URL: http://arxiv.org/abs/2405.12562
https://zbmath.org/7983942
https://doi.org/10.1142/s021820252450057x

Development of the Next-generation Atmosphere Dynamics Model in Russia: Current State and Prospects: Development of the next-generation atmosphere dynamics model in Russia: current state and prospects

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

Access URL: https://zbmath.org/7954500
https://doi.org/10.1134/s1995080224603746

Non-linear thermal radiation and heat transfer effect on MHD flow of a micropolar fluid through a porous medium

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

File Description: application/xml

Access URL: https://zbmath.org/8035337
https://doi.org/10.1007/s41478-024-00777-6

Numerical and theoretical analysis of shock wave interactions with abrupt area changes

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

File Description: application/xml

Access URL: https://zbmath.org/8020209
https://doi.org/10.1017/jfm.2025.38

A sixth order extension of WENO-S scheme

Authors: Conghai Wu Yong Luo Hu Li et al.

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

File Description: application/xml

Access URL: https://zbmath.org/8034174
https://doi.org/10.1007/s40314-025-03130-0

Stability and Accuracy of a Meshless Finite Difference Method for the Stokes Equations: Stability and accuracy of a meshless finite difference method for the Stokes equations

Authors: Alexander Westermann Oleg Davydov Andriy Sokolov et al.

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

Entropy Stable Finite Difference Schemes for Chew, Goldberger and Low Anisotropic Plasma Flow Equations: Entropy stable finite difference schemes for Chew, Goldberger and Low anisotropic plasma flow equations

Authors: Chetan Singh Anshu Yadav Deepak Bhoriya et al.

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

Access URL: http://arxiv.org/abs/2406.04783
https://zbmath.org/7975324
https://doi.org/10.1007/s10915-024-02763-3

A Spatial–Temporal Weight Analysis and Novel Nonlinear Weights of Weighted Essentially Non-oscillatory Schemes for Hyperbolic Conservation Laws: A spatial-temporal weight analysis and novel nonlinear weights of weighted essentially non-oscillatory schemes for hyperbolic conservation laws

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

Access URL: http://arxiv.org/abs/2310.05679

A Stokes–Dual–Porosity–Poroelasticity Model and Discontinuous Galerkin Method for the Coupled Free Flow and Dual Porosity Poroelastic Medium Problem: A Stokes-dual-porosity-poroelasticity model and discontinuous Galerkin method for the coupled free flow and dual porosity poroelastic medium problem

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

File Description: application/xml

Access URL: https://zbmath.org/7969186
https://doi.org/10.1007/s10915-024-02771-3

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

File Description: application/xml

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

Structure Preserving Nodal Continuous Finite Elements via Global Flux Quadrature: Structure preserving nodal continuous finite elements via global flux quadrature

Authors: Wasilij Barsukow Mario Ricchiuto Davide Torlo et al.

Contributors: Wasilij Barsukow Mario Ricchiuto Davide Torlo et al.

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

Access URL: http://arxiv.org/abs/2407.10579
https://hal.science/hal-04779510v2/document
https://hal.science/hal-04779510v2

Maximum-Principle-Preserving High-Order Conservative Difference Schemes for Convection-Dominated Diffusion Equations: Maximum-principle-preserving high-order conservative difference schemes for convection-dominated diffusion equations

Authors: Liu, Lele Zhang, Hong Qian, Xu et al.

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

High order numerical methods for Vlasov-Poisson models of plasma sheaths

Authors: Ayot, Valentin Badsi, Mehdi Barsamian, Yann et al.

Contributors: Ayot, Valentin Badsi, Mehdi Barsamian, Yann et al.

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

Access 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

Implicit Relaxed All Mach Number Schemes for Gases and Compressible Materials: Implicit relaxed all Mach number schemes for gases and compressible materials

Authors: Thomann, Andrea Iollo, Angelo Puppo, Gabriella

Contributors: Thomann, Andrea Iollo, Angelo Puppo, Gabriella

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

File Description: application/xml; application/pdf

Access URL: http://arxiv.org/abs/2112.14126
https://zbmath.org/7749381
https://doi.org/10.1137/21m146819x
https://hal.science/hal-04375656v2
https://hal.science/hal-04375656v2/document
https://doi.org/10.1137/21m146819x
https://hdl.handle.net/11573/1706229
https://doi.org/10.1137/21M146819X

Well-balanced energy-stable residual distribution methods for the shallow water equations with varying bottom topography

Authors: Wei Shyang Chang Muna Mohammed Bazuhair Farzad Ismail et al.

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

File Description: application/xml

A positivity-preserving HLLC-based discontinuous Galerkin method for weakly compressible two-phase flows

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

File Description: application/xml

A space–time second-order algorithm based on finite volume method for Brinkman flow and reactive transport model in porous media with variable fractures: A space-time second-order algorithm based on finite volume method for Brinkman flow and reactive transport model in porous media with variable fractures

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

File Description: application/xml

Access URL: https://zbmath.org/7988010
https://doi.org/10.1016/j.cam.2024.116468

Optimal convergence analysis of second‐order time‐discrete stabilized scheme for the thermally coupled incompressible MHD system: Optimal convergence analysis of second-order time-discrete stabilized scheme for the thermally coupled incompressible MHD system

Authors: Zhaowei Wang Danxia Wang Zixuan Wang et al.

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

File Description: application/xml

Access URL: https://zbmath.org/8005477
https://doi.org/10.1002/zamm.202400566

Plateau–Rayleigh instability in a capillary: assessing the importance of inertia: Plateau-Rayleigh instability in a capillary: assessing the importance of inertia

Authors: Rykner, Matthieu Saikali, Elie Bruneton, Adrien et al.

Contributors: Rykner, Matthieu Saikali, Elie Bruneton, Adrien et al.

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

File Description: application/xml; application/pdf