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Finite volume methods for partial differential equations

Supervisor: doc. RNDr. Peter Frolkovič, PhD.


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Project description:Finite volume method (FVM) is method for the numerical solution of partial differential equations (PDE) with a long tradition. Its popularity is based on the fact that physical principles, from which the PDEs are derived, are directly approximated on some fixed grid of control volumes. In last decade non-standard variants of FVM occur or the applications of PDEs that are derived from different principles or that include moving boundaries or interfaces. These features introduce new requirements that are beyond the scope of standard FVMs. The aim of this project is to propose and realize origin FVMs for emerging applications of PDEs that are in non-divergent form, exhibit variable computational domain, and require the so called extrapolation of missing data that, in summary, will enable the usage of popular FVM for several recent scientific and engineering numerical simulations.
Kind of project:VEGA ()
Department:Department of Mathematics and Constructive Geometry (FCE)
Project identification:1/1137/12
Project status:Successfully completed
Project start date :01. 01. 2012
Project close date:31. 12. 2014
Number of workers in the project:2
Number of official workers in the project:0