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 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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Semi-implicit Second Order Accurate Finite Volume Method for Advection-Diffusion Level Set Equation

Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems - Springer Proceedings in Mathematics & Statistics ◽

10.1007/978-3-319-05591-6_47 ◽

2014 ◽

pp. 479-487

Author(s):

Martin Balažovjech ◽

Peter Frolkovič ◽

Richard Frolkovič ◽

Karol Mikula

Keyword(s):

Finite Volume Method ◽

Finite Volume ◽

Level Set ◽

Second Order ◽

Advection Diffusion ◽

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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 Fourth-Order Accurate Finite-Volume Method with Structured Adaptive Mesh Refinement for Solving the Advection-Diffusion Equation

SIAM Journal on Scientific Computing ◽

10.1137/110820105 ◽

2012 ◽

Vol 34 (2) ◽

pp. B179-B201 ◽

Author(s):

Qinghai Zhang ◽

Hans Johansen ◽

Phillip Colella

Keyword(s):

Diffusion Equation ◽

Finite Volume Method ◽

Finite Volume ◽

Fourth Order ◽

Adaptive Mesh Refinement ◽

Adaptive Mesh ◽

Advection Diffusion Equation ◽

Structured Adaptive Mesh Refinement ◽

Advection Diffusion ◽

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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 second-order upwind finite-volume method for the Euler solution on unstructured triangular meshes

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.1650161204 ◽

1993 ◽

Vol 16 (12) ◽

pp. 1079-1098 ◽

Author(s):

Dartzi Pan ◽

Jen-Chieh Cheng

Keyword(s):

Finite Volume Method ◽

Finite Volume ◽

Second Order ◽

Triangular Meshes ◽

Volume Method ◽

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A fourth-order accurate finite volume method for ideal MHD via upwind constrained transport

Journal of Computational Physics ◽

10.1016/j.jcp.2018.08.025 ◽

2018 ◽

Vol 375 ◽

pp. 1365-1400 ◽

Author(s):

Kyle Gerard Felker ◽

James M. Stone

Keyword(s):

Finite Volume Method ◽

Finite Volume ◽

Fourth Order ◽

Ideal Mhd ◽

Volume Method ◽

Constrained Transport

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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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A second-order time-accurate implicit finite volume method with exact two-phase Riemann problems for compressible multi-phase fluid and fluid–structure problems

Journal of Computational Physics ◽

10.1016/j.jcp.2013.11.001 ◽

2014 ◽

Vol 258 ◽

pp. 613-633 ◽

Author(s):

Alex Main ◽

Charbel Farhat

Keyword(s):

Finite Volume Method ◽

Finite Volume ◽

Second Order ◽

Riemann Problems ◽

Two Phase ◽

Fluid Structure ◽

Multi Phase ◽

Volume Method ◽

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Two-stage fourth-order gas kinetic solver-based compact subcell finite volume method for compressible flows on triangular meshes

Physics of Fluids ◽

10.1063/5.0073010 ◽

2021 ◽

Vol 33 (12) ◽

pp. 126108

Author(s):

Chao Zhang ◽

Qibing Li ◽

Peng Song ◽

Jiequan Li

Keyword(s):

Finite Volume Method ◽

Finite Volume ◽

Fourth Order ◽

Compressible Flows ◽

Triangular Meshes ◽

Two Stage ◽

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