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

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

Implicit Discrete Unified Gas Kinetic Scheme for Steady Flows of Binary Gas Mixtures: Implicit discrete unified gas kinetic scheme for steady flows of binary gas mixtures

Authors: Zhang, Yue, Zhang, Chuang, Song, Xinliang, Guo, Zhaoli

Source: Communications in Computational Physics. 37:383-419

Subject Terms: Rarefied gas flows, Boltzmann equation in fluid mechanics, discrete unified gas kinetic scheme, binary gas mixtures, Kinetic theory of gases in equilibrium statistical mechanics, Finite volume methods applied to problems in fluid mechanics, multiscale gas flows, implicit scheme

File Description: application/xml

Access URL: https://zbmath.org/8033881
https://doi.org/10.4208/cicp.oa-2022-0258

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, Song, Yuxin, Shu, Chang

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

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

Numerical Study of Gas Separation of Pressure-Driven Binary Mixture Flows Through a Microchannel: Numerical study of gas separation of pressure-driven binary mixture flows through a microchannel

Authors: Xin, Ziyang, Zhang, Yue, Guo, Zhaoli

Source: Communications in Computational Physics. 37:740-760

Subject Terms: Rarefied gas flows, Boltzmann equation in fluid mechanics, discrete unified gas kinetic scheme, Kinetic theory of gases in equilibrium statistical mechanics, microchannel, Finite volume methods applied to problems in fluid mechanics, gas separation, pressure-driven flow

File Description: application/xml

A discrete fracture matrix framework for simulating single-phase flow and non-isothermal reactive transport

Authors: Shin Irgens Banshoya, Inga Berre, Eirik Keilegavlen

Source: Computational Geosciences
1483–1500

Subject Terms: equilibrium and kinetic reactions, Flows in porous media, filtration, seepage, reactive transport simulations, 0207 environmental engineering, Finite volume methods applied to problems in fluid mechanics, 02 engineering and technology, Inverse problems in geophysics, 0101 mathematics, Chemically reacting flows, 01 natural sciences, mixed-dimensional modelling, coupled flow and reactive transport, fractured porous media

File Description: application/xml; application/pdf

Access URL: https://hdl.handle.net/11250/3184313

Finite volume approximations of shear shallow water model on unstructured grids

Authors: Tiwari, Shashwat, Nkonga, Boniface, Chandrashekar, Praveen, Gavrilyuk, Sergey

Contributors: Nkonga, Boniface

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 comprehensive comparison of passive flow controls on the wind turbine blade lift and drag performances: A CFD approach: A comprehensive comparison of passive flow controls on the wind turbine blade lift and drag performances: a CFD approach

Authors: Mohd Hafiz Ab Satar, N.A. Razak, Mohd Safie Abdullah, Farzad Ismal

Source: European Journal of Mechanics - B/Fluids. 108:119-133

Subject Terms: Control of turbulent flows, finite volume SIMPLE scheme, NACA-4415 airfoil, Reynolds-averaged Navier-Stokes equations, Finite volume methods applied to problems in fluid mechanics, General theory of rotating fluids, Flow control and optimization for incompressible viscous fluids, mosaic meshing

File Description: application/xml

Access URL: https://zbmath.org/7929203
https://doi.org/10.1016/j.euromechflu.2024.07.009

Less-Intrusive Consistent Discretization Methods for Reservoir Simulation on Cut-cell Grids – Algorithms, Implementation, and Testing: Less-intrusive consistent discretization methods for reservoir simulation on cut-cell grids -- algorithms, implementation, and testing

Authors: Alpak, Faruk O., Jammoul, Mohamad, Wheeler, Mary F., Onyeagoro, Kachi

Source: Computational Geosciences. 28:1059-1084

Subject Terms: Hydrology, hydrography, oceanography, MPFA, cut-cell grid, hybrid discretization, Flows in porous media, filtration, seepage, AvgMPFA, consistent discretization, reservoir simulation, TPFA, Finite volume methods applied to problems in fluid mechanics, NTPFA

File Description: application/xml

Access URL: https://zbmath.org/7966499
https://doi.org/10.1007/s10596-024-10299-6

Application of IDEAL algorithm based on the collocated unstructured grid for incompressible flows

Authors: Chen, Yujie, Ling, Kong, Zhang, Xiaoyu, Xiang, Yue, Sun, Dongliang, Yu, Bo, Zhang, Wei, Tao, Wenquan

Source: Computational Geosciences. 28:907-923

Subject Terms: SIMPLE algorithm, IDEAL algorithm, Navier-Stokes equations for incompressible viscous fluids, collocated unstructured grid, Finite volume methods applied to problems in fluid mechanics, Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs

File Description: application/xml

Access URL: https://zbmath.org/7966489
https://doi.org/10.1007/s10596-024-10296-9

Topology Optimization for Large‐Scale Unsteady Flow With the Building‐Cube Method: Topology optimization for large-scale unsteady flow with the building-cube method

Authors: Ryohei Katsumata, Koji Nishiguchi, Hiroya Hoshiba, Junji Kato

Source: International Journal for Numerical Methods in Engineering. 126

Subject Terms: weak scaling, Navier-Stokes equations for incompressible viscous fluids, cell-centered finite volume method, Finite volume methods applied to problems in fluid mechanics, hierarchical Cartesian mesh method, Navier-Stokes equations, Flow control and optimization for incompressible viscous fluids

File Description: application/xml

Access URL: https://zbmath.org/8010717
https://doi.org/10.1002/nme.70016

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

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

Contributors: 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

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

Contributors: University of Zurich, Barsukow, Wasilij

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, Li, Peng

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

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, Fan, Gexian, Wang, Pengshan, Li, Kai

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

Aerodynamic drag characteristics of skaters in speed skating team pursuit formation

Authors: Zhang, Yuanzhao, Li, Bo

Source: European Journal of Mechanics - B/Fluids. 103:116-125

Subject Terms: ANSYS Fluent 17.0 code, second-order least-squares cell-based method, experimental validation, sports aerodynamics, RANS equations, k-omega standard turbulence model, Finite volume methods applied to problems in fluid mechanics, General aerodynamics and subsonic flows, Experimental work for problems pertaining to fluid mechanics, SIMPLEC algorithm

File Description: application/xml

Access URL: https://zbmath.org/7855562
https://doi.org/10.1016/j.euromechflu.2023.09.005