A Generalised Serre-Green-Naghdi Equations for Variable Rectangular Open Channel Hydraulics and Its Finite Volume Approximation

SEMA SIMAI Springer Series - Recent Advances in Numerical Methods for Hyperbolic PDE Systems ◽

10.1007/978-3-030-72850-2_11 ◽

2021 ◽

pp. 251-268

Author(s):

Mohamed Ali Debyaoui ◽

Mehmet Ersoy

Keyword(s):

Finite Volume ◽

Open Channel ◽

Channel Hydraulics ◽

Volume Approximation ◽

Finite Volume Approximation

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Finite volume approximation of the three-dimensional flow equation in axisymmetric, heterogeneous porous media based on local analytical solution

Journal of Hydrology ◽

10.1016/j.jhydrol.2013.07.036 ◽

2013 ◽

Vol 501 ◽

pp. 45-55 ◽

Author(s):

Amgad Salama ◽

Wang Li ◽

Shuyu Sun

Keyword(s):

Porous Media ◽

Analytical Solution ◽

Finite Volume ◽

Three Dimensional ◽

Flow Equation ◽

Heterogeneous Porous Media ◽

Three Dimensional Flow ◽

Dimensional Flow ◽

Volume Approximation ◽

Finite Volume Approximation

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Finite volume approximation of multidimensional aggregation population balance equation on triangular grid

Mathematics and Computers in Simulation ◽

10.1016/j.matcom.2019.12.009 ◽

2020 ◽

Vol 172 ◽

pp. 191-212 ◽

Author(s):

Mehakpreet Singh ◽

Randhir Singh ◽

Sukhjit Singh ◽

Gagandeep Singh ◽

Gavin Walker

Keyword(s):

Finite Volume ◽

Balance Equation ◽

Population Balance ◽

Population Balance Equation ◽

Triangular Grid ◽

Volume Approximation ◽

Finite Volume Approximation

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Quasi-Positive Anisotropic Darcy-Flux Finite-volume Approximation for General Grids and MPFA Decoupling Analysis

10.2118/142206-ms ◽

2011 ◽

Author(s):

Michael G. Edwards ◽

Hongwen Zheng

Keyword(s):

Finite Volume ◽

Decoupling Analysis ◽

Volume Approximation ◽

Finite Volume Approximation

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A cell-centred finite-volume approximation for anisotropic diffusion operators on unstructured meshes in any space dimension

IMA Journal of Numerical Analysis ◽

10.1093/imanum/dri036 ◽

2006 ◽

Vol 26 (2) ◽

pp. 326-353 ◽

Author(s):

R. Eymard ◽

T. Gallouët ◽

R. Herbin

Keyword(s):

Finite Volume ◽

Anisotropic Diffusion ◽

Space Dimension ◽

Unstructured Meshes ◽

A Cell ◽

Volume Approximation ◽

Finite Volume Approximation

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On the direct construction of the steady traveling solution to high explosive sandwich, cylinder and aquarium tests via a streamline finite volume approximation

Journal of Computational Physics ◽

10.1016/j.jcp.2019.06.029 ◽

2019 ◽

Vol 395 ◽

pp. 653-670 ◽

Author(s):

Stephen A. Andrews ◽

Tariq Aslam

Keyword(s):

Finite Volume ◽

High Explosive ◽

Direct Construction ◽

Volume Approximation ◽

Finite Volume Approximation

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Finite volume approximation of stiff problems on two-dimensional curvilinear domain

International Journal of Computer Mathematics ◽

10.1080/00207160.2015.1075013 ◽

2015 ◽

Vol 93 (10) ◽

pp. 1787-1799 ◽

Author(s):

Sylvain Faure ◽

Mohamed Mahdi Tekitek ◽

Roger Temam

Keyword(s):

Finite Volume ◽

Stiff Problems ◽

Two Dimensional ◽

Volume Approximation ◽

Finite Volume Approximation

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An Explicit A Priori Estimate for a Finite Volume Approximation of Linear Advection on Non-Cartesian Grids

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142901394558 ◽

2004 ◽

Vol 42 (2) ◽

pp. 484-504 ◽

Author(s):

Bruno Després

Keyword(s):

Finite Volume ◽

A Priori ◽

A Priori Estimate ◽

Cartesian Grids ◽

Priori Estimate ◽

Volume Approximation ◽

Finite Volume Approximation

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A discontinuous interpolated finite volume approximation of semilinear elliptic optimal control problems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22181 ◽

2017 ◽

Vol 33 (6) ◽

pp. 2090-2113 ◽

Author(s):

Ruchi Sandilya ◽

Sarvesh Kumar

Keyword(s):

Optimal Control ◽

Finite Volume ◽

Optimal Control Problems ◽

Control Problems ◽

Semilinear Elliptic ◽

Elliptic Optimal Control Problems ◽

Volume Approximation ◽

Elliptic Optimal Control ◽

Finite Volume Approximation

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Entropy Diminishing Finite Volume Approximation of a Cross-Diffusion System

Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples - Springer Proceedings in Mathematics & Statistics ◽

10.1007/978-3-030-43651-3_15 ◽

2020 ◽

pp. 183-191

Author(s):

Clément Cancès ◽

Benoît Gaudeul

Keyword(s):

Finite Volume ◽

Diffusion System ◽

Cross Diffusion ◽

Volume Approximation ◽

Finite Volume Approximation

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A full analysis of a new second order finite volume approximation based on a low-order scheme using general admissible spatial meshes for the unsteady one dimensional heat equation

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2014.02.043 ◽

2014 ◽

Vol 416 (1) ◽

pp. 258-288 ◽

Author(s):

Abdallah Bradji

Keyword(s):

Heat Equation ◽

Finite Volume ◽

Second Order ◽

One Dimensional ◽

Order Scheme ◽

Full Analysis ◽

Volume Approximation ◽

Finite Volume Approximation ◽

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