Keyword

finite volume method

Description: The finite volume method is a numerical technique for solving differential equations by balancing quantities across discrete control volumes.

Primary topic: Computational Fluid Dynamics and Aerodynamics (27%)

Wikidata ID: wiki/Q1401936

OpenAlex ID: keywords/finite-volume-method

Finite Volume Methods for Hyperbolic Problems

2002 · Randall J. LeVeque · Cambridge University Press eBooks · 6,345

Computational Methods for Fluid Dynamics

1997 · Joel H. Ferziger, Milovan Peric, et al. · Physics Today · 6,006

Numerical study of the turbulent flow past an airfoil with trailing edge separation

1983 · C. M. Rhie, W. L. Chow · AIAA Journal · 4,472

An Introduction to Computational Fluid Dynamics: The Finite Volume Method

1995 · H. K. Versteeg, Weeratunge Malalasekera · 4,460

Numerical solution of the Euler equations by finite volume methods using Runge Kutta time stepping schemes

1981 · A. JAMESON, WOLFGANG SCHMIDT, et al. · AIAA Fluid and Plasma Dynamics Conference · 4,204

Computational Fluid Mechanics and Heat Transfer

2016 · Dale Anderson, John C. Tannehill, et al. · CRC Press eBooks · 3,682

The design and application of upwind schemes on unstructured meshes

1989 · TIMOTHY BARTH, DENNIS JESPERSEN · AIAA Aerospace Sciences Meeting · 2,311

Riemann Solvers and Numerical Methods for Fluid Dynamics

2009 · Eleuterio F. Toro · Springer eBooks · 2,267

Finite volume methods

2000 · Robert Eymard, Thierry Gallouët, et al. · Handbook of numerical analysis · 2,136

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Numerical approximation of partial differential equations

1987 · Quarteroni, Alfio 1952-, Valli, Alberto · Mathematics and Computers in Simulation · 1,864

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An Unstructured Grid, Finite-Volume, Three-Dimensional, Primitive Equations Ocean Model: Application to Coastal Ocean and Estuaries

2003 · Changsheng Chen, Hedong Liu, et al. · Journal of Atmospheric and Oceanic Technology · 1,813

Computational Techniques for Fluid Dynamics 1

1998 · Clive A. J. Fletcher · Springer eBooks · 1,723

Error analysis and estimation for the finite volume method with applications to fluid flows

1996 · Hrvoje Jasak · OpenGrey (Institut de l'Information Scientifique et Technique) · 1,504

An introduction to the Finite Element Method

1992 · J. J. I. M. van Kan · Springer eBooks · 1,383

Fundamentals of Numerical Reservoir Simulation

1977 · Developments in petroleum science · 1,269

An Immersed-Boundary Finite-Volume Method for Simulations of Flow in Complex Geometries

2001 · Jungwoo Kim, Dongjoo Kim, et al. · Journal of Computational Physics · 1,150

Computational methods for fluid dynamics

2003 · Computers & Mathematics with Applications · 1,144

The Finite Volume Method in Computational Fluid Dynamics

2015 · F. Moukalled, L. Mangani, et al. · Fluid mechanics and its applications · 1,029

The ULTIMATE conservative difference scheme applied to unsteady one-dimensional advection

1991 · B.P. Leonard · Computer Methods in Applied Mechanics and Engineering · 1,028

Volume-of-Fluid Interface Tracking with Smoothed Surface Stress Methods for Three-Dimensional Flows

1999 · Denis Gueyffier, Jie Li, et al. · Journal of Computational Physics · 1,018

A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows

2004 · Emmanuel Audusse, François Bouchut, et al. · SIAM Journal on Scientific Computing · 1,012

The ∇·B=0 Constraint in Shock-Capturing Magnetohydrodynamics Codes

2000 · Gábor Tóth · Journal of Computational Physics · 994

Notes on numerical fluid mechanics

1981 · A.M.O. Smith · Computer Methods in Applied Mechanics and Engineering · 933

A Finite-Volume Method for Predicting a Radiant Heat Transfer in Enclosures With Participating Media

1990 · G. D. Raithby, E. H. Chui · ASME Journal of Heat and Mass Transfer · 902

Numerical Solution of Partial Differential Equations

2005 · K. W. Morton, D. F. Mayers · Cambridge University Press eBooks · 881

Works count: 26,310

Citation count: 341,000