Search Results - "Finite volume methods for initial value and initial-boundary value problems involving PDEs"

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

File Description: application/xml

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

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

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

File Description: application/xml

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

File Description: application/xml; application/pdf

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

File Description: application/xml

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

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

Convergence of Lattice Boltzmann methods with overrelaxation for a nonlinear conservation law: Convergence of lattice Boltzmann methods with overrelaxation for a nonlinear conservation law

Authors: Denise Aregba-Driollet

Source: ESAIM: Mathematical Modelling and Numerical Analysis. 58:1935-1958

Subject Terms: Boltzmann equations, nonlinear conservation laws, convergence, Finite volume methods for initial value and initial-boundary value problems involving PDEs, lattice Boltzmann method, Hyperbolic conservation laws, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Kinetic theory of gases in time-dependent statistical mechanics, Particle methods and lattice-gas methods, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, First-order nonlinear hyperbolic equations

File Description: application/xml

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

File Description: application/xml

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

A Corrected $$H^T_N$$-UGKS for Boundary Layer Problems of the Gray Radiative Transfer Equations: A corrected \(H^T_N\)-UGKS for boundary layer problems of the gray radiative transfer equations

Authors: Song Jiang Qi Li Wenjun Sun

Source: Communications on Applied Mathematics and Computation. 7:689-717

Subject Terms: PDEs in connection with classical thermodynamics and heat transfer, Finite volume methods for initial value and initial-boundary value problems involving PDEs, implicit Monte Carlo (IMC) method, Research exposition (monographs, survey articles) pertaining to numerical analysis, boundary layer, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, nonlinear radiative transfer, \(H^T_N\)-UGKS, Asymptotic analysis for problems in thermodynamics and heat transfer

File Description: application/xml

Access URL: https://zbmath.org/8034295
https://doi.org/10.1007/s42967-024-00376-z

Improved sixth-order WENO scheme based on the numerical flux and smoothness indicators of modified stencils

Authors: Yahui Wang Guozeng Yang Cheng Guo et al.

Source: Computational and Applied Mathematics. 44

Subject Terms: Method of lines for initial value and initial-boundary value problems involving PDEs, hyperbolic conservation law, Finite volume methods for initial value and initial-boundary value problems involving PDEs, WENO scheme, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, modified stencils, sixth-order accuracy

File Description: application/xml

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

File Description: application/xml

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

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 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

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

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 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

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

Numerical simulation on staggered grids of three-dimensional brinkman-forchheimer flow and heat transfer in porous media: Numerical simulation on staggered grids of three-dimensional Brinkman-Forchheimer flow and heat transfer in porous media

Authors: Liu, Wei Song, Yingxue Chen, Yanping et al.

Source: Computational Geosciences. 28:859-881

Subject Terms: Finite volume methods for initial value and initial-boundary value problems involving PDEs, Flows in porous media, filtration, seepage, three-dimensional numerical simulation, heat transfer, staggered grids, Diffusive and convective heat and mass transfer, heat flow, Brinkman-Forchheimer flow, Finite volume methods applied to problems in fluid mechanics, PDEs in connection with fluid mechanics, marker and cell algorithm, Stokes and related (Oseen, etc.) flows

File Description: application/xml

A Four-State Hll Riemann Solver for Numerical Simulation of Magneto-Hydrodynamics Based on the Least Squares Solution for the Middle Wave ⋆: A four-state HLL Riemann solver for numerical simulation of magneto-hydrodynamics based on the least squares solution for the middle wave

Authors: Xi, Xinyue Guo, Xiaocheng Wang, Chi

Source: Communications in Computational Physics. 37:675-700

Subject Terms: HLLC-Linde, Finite volume methods for initial value and initial-boundary value problems involving PDEs, Computational methods for problems pertaining to astronomy and astrophysics, HLLD, Magnetohydrodynamics and electrohydrodynamics, Riemann solver, General questions in geophysics, magnetohydrodynamics

File Description: application/xml

Access URL: https://zbmath.org/8033891
https://doi.org/10.4208/cicp.oa-2024-0132

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