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National Repository of Grey Literature 2 records found  Search took 0.01 seconds. 
Implementation of the FEM-FCT method for nonstationary convection-diffusion equations
 Stará, Lenka ; Knobloch, Petr (advisor) ; Dolejší, Vít (referee)
The aim of this work is the implementation and the testing of the fi- nite element method flux corrected transport (FEM-FCT) for an evolutionary convection-diffusion-reaction equation with small diffusion parameter. The basic idea of this method lies in modification of algebraic equation which is obtained from the Galerkin finite element method in order to suppress spurious oscillations and not to smear the solution considerably. In the first section of this work we in- troduce the problem of solving a convection-diffusion-reaction equation. The next section is devoted to a short introduction of the finite element method and we pro- vide the Galerkin finite element formulation of the convection-diffusion-reaction problem. Afterward we derive formulae, which are necessary for implementation FEM-FCT method. In the last section we present numerical results, which are studied at body rotation problem. 1
Detailed record
Implementation of the FEM-FCT method for nonstationary convection-diffusion equations
 Stará, Lenka ; Knobloch, Petr (advisor) ; Dolejší, Vít (referee)
The aim of this work is the implementation and the testing of the fi- nite element method flux corrected transport (FEM-FCT) for an evolutionary convection-diffusion-reaction equation with small diffusion parameter. The basic idea of this method lies in modification of algebraic equation which is obtained from the Galerkin finite element method in order to suppress spurious oscillations and not to smear the solution considerably. In the first section of this work we in- troduce the problem of solving a convection-diffusion-reaction equation. The next section is devoted to a short introduction of the finite element method and we pro- vide the Galerkin finite element formulation of the convection-diffusion-reaction problem. Afterward we derive formulae, which are necessary for implementation FEM-FCT method. In the last section we present numerical results, which are studied at body rotation problem. 1
Detailed record

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