Finite Volume Methods: Foundation and Analysis
By Timothy J. Barth, Mario Ohlberger. 2004
293 citations recorded by the source corpus.
Subfields: Atmospheric Science, Computational Mechanics
View Paper: https://www.semanticscholar.org/paper/d22da9ccb4e71ac65f3a3951a0926d3cc1301fe6
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Atmospheric Science
- Praveen Chandrashekar
- A. I. Delis
- Bernard Haasdonk
- Bojan Popov
- Jean-Luc Guermond
- Ignacio Tomas
- Ioannis K. Nikolos
- Mario Ohlberger
In Computational Mechanics
- Bernard Haasdonk
- Praveen Chandrashekar
- A. I. Delis
- Ioannis K. Nikolos
- Jean-Luc Guermond
- Bojan Popov
- Ignacio Tomas
- Ole Sigmund
Citations in the corpus
- Invariant domain preserving discretization-independent schemes and convex limiting for hyperbolic systems (2018, methodology): “There is a massive body of literature on this topic and it is well beyond the scope of the current paper to elaborate further in this direction; we refer the reader to Barth and Ohlberger [4], Kr¨oner [35], Morton and Sonar [39] for additional background.”
- Topology optimization of heat conduction problems using the finite volume method (2006, background): “In transport problems, a possible new area of application for topology optimization, the FVM is a relevant numerical scheme (see Jenny et al. 2004) since it guarantees elementwise conservation of the fundamental physical quantities, as described in Barth and Ohlberger (2004) .”
- Kinetic energy preserving and entropy stable finite volume schemes for compressible Euler and Navier-Stokes equations (2012, methodology): “This problem is solved using the KEP-EC1 and KEP-ES(Hyb) flux functions together with linear reconstruction of primitive variables and minmax limiter [1].”
- REDUCED BASIS METHOD FOR FINITE VOLUME APPROXIMATIONS OF PARAMETRIZED LINEAR EVOLUTION EQUATIONS (2008, methodology): “For the convective part usual choices are monotone fluxes such as the Lax-Friedrichs, Enquist-Osher or the Godunov flux [5,20].”
- A novel multidimensional solution reconstruction and edge‐based limiting procedure for unstructured cell‐centered finite volumes with application to shallow water dynamics (2013, background): “For a review on possible reconstruction and limiting choices for CCFV schemes, please refer to [30, 52].”