Verification and simulation of CFD calculations , V&V

18 dezembro 2015, 13:30 • José Carlos Fernandes Pereira

Code and Solution Verification

·   Method of Manufactured Solutions (MMS)

·   The concepts of Modified Equation Analysis (MEA), consistency, and convergence

·   Truncation error and the asymptotic convergence of numerical solutions

·   The Richardson extrapolation and solution verification

·   The Grid Convergence Index

·   Example of Verification and Validation 

·   Derive analytically the modified equation of a 1D, advection-diffusion equation. Use the results to assess the behavior of truncation error

Revisions

18 dezembro 2015, 09:30 • José Manuel Da Silva Chaves Ribeiro Pereira

Revisions about Finite volume discretization in unstructured meshes.

Revisions

16 dezembro 2015, 09:30 • José Manuel Da Silva Chaves Ribeiro Pereira

Revisions about Finite volume discretization in unstructured meshes.

1D-Euler equations

15 dezembro 2015, 12:30 • José Carlos Fernandes Pereira

         Hyperbolic system

         1D Euler Equations in
         CONSERVATIVE VARIABLES Form

         1D Euler equations in
         Quasi-Linear form

         Hyperbolic System of conservation laws

         Characteristics and classic RIEMANN INVARIANTS

         1D Euler equations in Characteristic variable form

Introduction to Krylov based Iterative Methods

11 dezembro 2015, 13:30 • José Carlos Fernandes Pereira

•       Introduction

•       Classes of methods

•       Preconditioners

•       GEMRES

•       Other Krilov space Methods