A finite volume method for advection–diffusion problems in convection-dominated regimes

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2007.11.014 ◽

2008 ◽

Vol 197 (13-16) ◽

pp. 1242-1261 ◽

Author(s):

Gianmarco Manzini ◽

Alessandro Russo

Keyword(s):

Finite Volume Method ◽

Finite Volume ◽

Advection Diffusion ◽

Volume Method ◽

Convection Dominated ◽

Diffusion Problems

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A Mass-Conservative Temporal Second Order and Spatial Fourth Order Characteristic Finite Volume Method for Atmospheric Pollution Advection Diffusion Problems

SIAM Journal on Scientific Computing ◽

10.1137/18m121914x ◽

2019 ◽

Vol 41 (6) ◽

pp. B1178-B1210

Author(s):

Kai Fu ◽

Dong Liang

Keyword(s):

Finite Volume Method ◽

Finite Volume ◽

Fourth Order ◽

Atmospheric Pollution ◽

Second Order ◽

Advection Diffusion ◽

Volume Method ◽

Diffusion Problems

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A new combined finite element-upwind finite volume method for convection-dominated diffusion problems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22027 ◽

2015 ◽

Vol 32 (3) ◽

pp. 799-818 ◽

Author(s):

Cheng Wang ◽

Mingyan He ◽

Pengtao Sun

Keyword(s):

Finite Element ◽

Finite Volume Method ◽

Finite Volume ◽

Volume Method ◽

Convection Dominated ◽

Diffusion Problems

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A novel finite volume method for the Riesz space distributed-order advection–diffusion equation

Applied Mathematical Modelling ◽

10.1016/j.apm.2017.01.065 ◽

2017 ◽

Vol 46 ◽

pp. 536-553 ◽

Author(s):

J. Li ◽

F. Liu ◽

L. Feng ◽

I. Turner

Keyword(s):

Diffusion Equation ◽

Finite Volume Method ◽

Finite Volume ◽

Riesz Space ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

Volume Method ◽

Distributed Order

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A finite volume method with a modified ENO scheme using a Hermite interpolation to solve advection diffusion equations

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.123 ◽

2001 ◽

Vol 50 (10) ◽

pp. 2339-2371 ◽

Author(s):

A. Balaguer ◽

C. Conde ◽

J. A. López ◽

V. Martínez

Keyword(s):

Finite Volume Method ◽

Finite Volume ◽

Hermite Interpolation ◽

Diffusion Equations ◽

Advection Diffusion ◽

Volume Method ◽

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Adaptive cell-centered finite volume method for non-homogeneous diffusion problems: Application to transport in porous media

Finite Volumes for Complex Applications VI Problems & Perspectives - Springer Proceedings in Mathematics ◽

10.1007/978-3-642-20671-9_9 ◽

2011 ◽

pp. 79-87

Author(s):

Fayssal Benkhaldoun ◽

Amadou Mahamane ◽

Mohammed Seaïd

Keyword(s):

Porous Media ◽

Finite Volume Method ◽

Finite Volume ◽

Transport In Porous Media ◽

Volume Method ◽

Diffusion Problems

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Hybrid Multiscale Finite Volume Method for Advection-Diffusion Equations Subject to Heterogeneous Reactive Boundary Conditions

Multiscale Modeling and Simulation ◽

10.1137/15m1022537 ◽

2016 ◽

Vol 14 (4) ◽

pp. 1341-1376 ◽

Author(s):

David A. Barajas-Solano ◽

A. M. Tartakovsky

Keyword(s):

Boundary Conditions ◽

Finite Volume Method ◽

Finite Volume ◽

Diffusion Equations ◽

Advection Diffusion ◽

Multiscale Finite Volume ◽

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A Second-Order Maximum Principle Preserving Finite Volume Method for Steady Convection-Diffusion Problems

SIAM Journal on Numerical Analysis ◽

10.1137/040607071 ◽

2005 ◽

Vol 43 (5) ◽

pp. 2172-2199 ◽

Author(s):

Enrico Bertolazzi ◽

Gianmarco Manzini

Keyword(s):

Maximum Principle ◽

Finite Volume Method ◽

Finite Volume ◽

Second Order ◽

Convection Diffusion ◽

Volume Method ◽

Steady Convection ◽

Diffusion Problems

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On a coupled finite element-finite volume method for convection-diffusion problems

IMA Journal of Numerical Analysis ◽

10.1093/imanum/20.2.281 ◽

2000 ◽

Vol 20 (2) ◽

pp. 281-301 ◽

Author(s):

M Sardella

Keyword(s):

Finite Element ◽

Finite Volume Method ◽

Finite Volume ◽

Convection Diffusion ◽

Volume Method ◽

Diffusion Problems

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Analysis of a cell-vertex finite volume method for convection-diffusion problems

Irish Mathematical Society Bulletin ◽

10.33232/bims.0036.67 ◽

1996 ◽

Vol 0036 ◽

pp. 67-67

Author(s):

K. W. Morton ◽

M. Stynes ◽

E. Süli

Keyword(s):

Finite Volume Method ◽

Finite Volume ◽

Convection Diffusion ◽

A Cell ◽

Volume Method ◽

Diffusion Problems

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A Monotone Non-linear Finite Volume Method for Advection-diffusion Equations and Multiphase Flows

ECMOR XIII - 13th European Conference on the Mathematics of Oil Recovery ◽

10.3997/2214-4609.20143223 ◽

2012 ◽

Author(s):

K. Nikitin ◽

Y. Vassilevski

Keyword(s):

Finite Volume Method ◽

Finite Volume ◽

Multiphase Flows ◽

Diffusion Equations ◽

Advection Diffusion ◽

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