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Finite volume method

Known as: Finite volume, Finite-volume method 
The finite volume method (FVM) is a method for representing and evaluating partial differential equations in the form of algebraic equations [LeVeque… 
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Related topics

Related topics

41 relations
AUSMApplication of CFD in thermal power plantsBoundary element methodBoundary knot method

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2009
Highly Cited
2009
Analysis of linear and quadratic simplicial finite volume methods for elliptic equations
This paper is devoted to analysis of some convergent properties of both linear and quadratic simplicial finite volume methods… 
Highly Cited
2008
Highly Cited
2008
Numerical investigation of unsteady flow past a circular cylinder using 2-D finite volume method
The dynamic characteristics of the pressure and velocity fields of unsteady incompressible laminar and turbulent wakes behind a… 
Highly Cited
2008
Highly Cited
2008
Application of FLATModel, a 2D finite volume code, to debris flows in the northeastern part of the Iberian Peninsula
FLATModel is a two-dimensional shallow-water approximation code with corrections and modifications that create a simulation tool… 
Highly Cited
2005
Highly Cited
2005
Finite Difference, Finite Element and Finite Volume Methods for Partial Differential Equations
There are three important steps in the computational modelling of any physical process: (i) problem definition, (ii) mathematical… 
Highly Cited
2005
Highly Cited
2005
A THIRD-GENERATION SPECTRAL WAVE MODEL USING AN UNSTRUCTURED FINITE VOLUME TECHNIQUE
A new third-generation spectral wave model is presented for prediction of the wave climates in offshore and coastal areas. The… 
Highly Cited
2002
Highly Cited
2002
Spectral (Finite) Volume Method for Conservation Laws on Unstructured Grids. Basic Formulation
A high-order, conservative, yet efficient method named the spectral volume (SV) method is developed for conservation laws on… 
Highly Cited
2001
Highly Cited
2001
On the Accuracy of the Finite Volume Element Method Based on Piecewise Linear Polynomials
We present a general error estimation framework for a finite volume element (FVE) method based on linear polynomials for solving… 
Highly Cited
2000
Highly Cited
2000
Generalized Difference Methods for Differential Equations: Numerical Analysis of Finite Volume Methods
Preliminaries two point boundary value problems second order elliptic equations fourth order and nonlinear elliptic equations… 
Highly Cited
1999
Highly Cited
1999
A transient two-dimensional finite volume model for the simulation of vertical U-tube ground heat exchangers
The ability to predict both the long-term and short-term behavior of ground loop heat exchangers is critical to the design and… 
Highly Cited
1997
Highly Cited
1997
SOLUTION OF THE 2D SHALLOW WATER EQUATIONS USING THE FINITE VOLUME METHOD ON UNSTRUCTURED TRIANGULAR MESHES
SUMMARY A 2D, depth-integrated, free surface flow solver for the shallow water equations is developed and tested. The solver is… 
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