Search Results - finite volume methods for initial value AND initial-boundary value problems involving pres*

Study of a New Low-Oscillating Second-Order All-Mach Number IMEX Finite Volume Scheme for the Full Euler Equations: Study of a new low-oscillating second-order all-Mach number IMEX finite volume scheme for the full Euler equations

Authors: Allegrini, P Vignal, Mh Vignal, Marie-Hélène

Contributors: Allegrini, P Vignal, Mh Vignal, Marie-Hélène

Source: SIAM Journal on Scientific Computing. 47:A268-A299

Subject Terms: high-order schemes, Asymptotic Preserving schemes, High-order schemes, [MATH] Mathematics [math], hyperbolic conservation laws, IMEX schemes, Error bounds for initial value and initial-boundary value problems involving PDEs, Finite volume methods for initial value and initial-boundary value problems involving PDEs, Hyperbolic conservation laws, Compressible fluids and gas dynamics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, asymptotic preserving schemes, finite volumes, low Mach number limit, Low Mach number limit

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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

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

High-order accurate structure-preserving finite volume schemes on adaptive moving meshes for shallow water equations: Well-balancedness and positivity: High-order accurate structure-preserving finite volume schemes on adaptive moving meshes for shallow water equations: well-balancedness and positivity

Authors: Zhang, Zhihao Tang, Huazhong Wu, Kailiang

Source: Journal of Computational Physics. 527:113801

Subject Terms: shallow water equations, Fluid Dynamics (physics.flu-dyn), positivity-preserving, FOS: Physical sciences, Finite volume methods applied to problems in fluid mechanics, Physics - Fluid Dynamics, Numerical Analysis (math.NA), Computational Physics (physics.comp-ph), Physics - Atmospheric and Oceanic Physics, Finite volume methods for initial value and initial-boundary value problems involving PDEs, Atmospheric and Oceanic Physics (physics.ao-ph), FOS: Mathematics, adaptive moving structured mesh, Mathematics - Numerical Analysis, finite volume, Physics - Computational Physics, well-balanced

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Access URL: http://arxiv.org/abs/2409.09600

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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Distinct-positivity-preserving methods for fifth-order finite volume ALW-MR-WENO schemes with a bigger sufficient CFL number for extreme problems

Authors: Tan, Yan Zhu, Jun

Source: Journal of Computational Physics. 510:113093

Subject Terms: Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs, distinct-positivity-preserving method, Finite volume methods for initial value and initial-boundary value problems involving PDEs, extreme problem, adaptive linear weight, MR-WENO scheme, sufficient/practical CFL number

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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

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

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

Bound preservation for the consistent and conservative phase-field method for compressible single-, two-, and N-phase flows: Bound preservation for the consistent and conservative phase-field method for compressible single-, two-, and \(N\)-phase flows

Authors: Ziyang Huang Eric Johnsen

Source: Journal of Computational Physics. 526:113783

Subject Terms: multiphase flows, Finite volume methods for initial value and initial-boundary value problems involving PDEs, compressible flows, bound-preserving, positivity-preserving, Finite volume methods applied to problems in fluid mechanics, shock-interface interactions, phase-field methods

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Access URL: https://zbmath.org/8021083
https://doi.org/10.1016/j.jcp.2025.113783

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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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

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

On a symmetry-preserving unconditionally stable projection method on collocated unstructured grids for incompressible flows

Authors: Santos Serrano, Daniel Hopman, Johannes Arend Pérez Segarra, Carlos David et al.

Contributors: Santos Serrano, Daniel Hopman, Johannes Arend Pérez Segarra, Carlos David et al.

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

Subject Terms: Àrees temàtiques de la UPC::Física::Termodinàmica, Spectral methods applied to problems in fluid mechanics, collocated, symmetry-preserving, unconditionally stable, energy-preserving, PISO, Finite volume methods applied to problems in fluid mechanics, Collocated, FVM, Unconditionally stable, Finite volume methods for initial value and initial-boundary value problems involving PDEs, Energy-preserving, Symmetry-preserving, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs

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Access URL: https://hdl.handle.net/2117/421153
https://doi.org/10.1016/j.jcp.2024.113631

A positivity-preserving Active Flux method for the Vlasov-Poisson system: A positivity-preserving active flux method for the Vlasov-Poisson system

Authors: Yanick Kiechle Erik Chudzik Christiane Helzel

Source: Journal of Computational Physics. 524:113693

Subject Terms: Vlasov equation, Finite volume methods for initial value and initial-boundary value problems involving PDEs, active flux, plasma physics, positivity preservation, Finite volume methods applied to problems in fluid mechanics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, flux limitation

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Access URL: https://zbmath.org/7996108
https://doi.org/10.1016/j.jcp.2024.113693

Efficient ROUND schemes on non-uniform grids applied to discontinuous Galerkin schemes with Godunov-type finite volume sub-cell limiting

Authors: Deng, Xi Jiang, Zhen-hua Yan, Chao

Source: Journal of Computational Physics. 522:113575

Subject Terms: Finite volume methods for initial value and initial-boundary value problems involving PDEs, ROUND, non-uniform grids, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, scalar-structure-preserving, DG/FV subcell limiting, high-resolution

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Access URL: https://zbmath.org/7986829
https://doi.org/10.1016/j.jcp.2024.113575

Numerical path preserving Roe scheme for ideal MHD Riemann problem: Complete elimination of pseudo-convergence: Numerical path preserving Roe scheme for ideal MHD Riemann problem: complete elimination of pseudo-convergence

Authors: Ke Xu Zhenxun Gao Zhansen Qian et al.

Source: Journal of Computational Physics. 523:113621

Subject Terms: Finite volume methods for initial value and initial-boundary value problems involving PDEs, numerical path preserving, MHD Riemann problem, Alfvénic wave, Magnetohydrodynamics and electrohydrodynamics, Finite volume methods applied to problems in fluid mechanics, pseudo-convergence, hyperbolic conservation laws, roe scheme

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Access URL: https://zbmath.org/7986854
https://doi.org/10.1016/j.jcp.2024.113621

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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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

A new efficient energy-preserving finite volume element scheme for the improved Boussinesq equation

Authors: Jinliang Yan Fuqiang Lu Zhiyue Zhang et al.

Source: Applied Mathematical Modelling. 87:20-41

Subject Terms: invariant energy quadratization method, sine-Gordon equation, finite volume element method, Finite volume methods for initial value and initial-boundary value problems involving PDEs, improved Boussinesq equation, 0103 physical sciences, 0101 mathematics, 01 natural sciences, energy

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Access URL: https://www.sciencedirect.com/science/article/pii/S0307904X20302444

An Efficient Second-Order Finite Volume ADI Method for Nonlinear Three-Dimensional Space-Fractional Reaction-Diffusion Equations: An efficient second-order finite volume ADI method for nonlinear three-dimensional space-fractional reaction-diffusion equations

Authors: Zhang, Bingyin Fu, Hongfei Liang, Xueting et al.

Source: Advances in Applied Mathematics and Mechanics. 14:1400-1432

Subject Terms: Iterative numerical methods for linear systems, convergence, Finite volume methods for boundary value problems involving PDEs, finite volume method, Fractional partial differential equations, 01 natural sciences, Error bounds for initial value and initial-boundary value problems involving PDEs, efficient implementation, Finite volume methods for initial value and initial-boundary value problems involving PDEs, Fractional derivatives and integrals, Finite difference methods for initial value and initial-boundary value problems involving PDEs, nonlinear space-fractional reaction-diffusion equation, ADI, 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs

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