Analysis of Numerical Dissipation and Dispersion of F.D. of hyperbilic

27 outubro 2015, 12:30 • José Carlos Fernandes Pereira

. Finite Volume  K-Schemes fluxes for Hyperbolic Equations

.  Examples of discretization of hyperbolic equation: LAX FRIEDRICHS scheme; LAX-WENDROFF  Scheme; BEAM and WARMING Schemes

. Modified equation method to analise Dispersion and Diffusion errors

 equations

SPECTRAL ANALYSIS OF NUMERICAL ERROR

23 outubro 2015, 13:30 • José Carlos Fernandes Pereira

•       Dispersion Relation ( Analitycal and numerical )

•       Amplitude and Phase Errors (Analytical and numerical)

•       Methodology for spectral error analysis

•       Examples of parabolic and hyperbolic equations

Flux limiters

23 outubro 2015, 09:30 • José Manuel Da Silva Chaves Ribeiro Pereira

Examples with applications of flux limiters

Flux limiters

21 outubro 2015, 09:30 • José Manuel Da Silva Chaves Ribeiro Pereira

Examples with applications of flux limiters

CLASSICAL TEMPORAL DISCRETIZATION METHODS

20 outubro 2015, 12:30 • José Carlos Fernandes Pereira

1-Selection of Implicit or  explicit  schemes

 2-Predictor Corrector schemes, MacCormak scheme

 3-Multi-stage Methods, Runge-Kutta SCHEMES

 4-Multi-step Methods, Adams-BashfortH, Leap-Frog SCHEMES

 5-Examples of discretization of parabolic equations