Stability of Semidiscrete Formulations For Advective-Diffusive-Reactive Transport Problems / Estabilidade temporal de formulações semi-discretas para problemas de transporte convectivo-difusivo-reativo

AUTOR(ES)

Natalia Cristina Braga Arruda Alves da Silva

DATA DE PUBLICAÇÃO

2006

RESUMO

This work deals with the stability analysis of the fully discrete transport problem obtained using a stable finite element method in space and the generalized trapeizoidal family of methods in time. Depeding on the range of parameters the Galerkin and the Streamline Upwind Petrov-Galerkin Methods are introduced. We evaluate the accuracy and stability properties of the methods. The sawtooth pattern in time is observed,caused by spurious higher modes when Crank-Nicolson method is used. We derive a stability analysis of the fully discrete method and investigate the techniques proposed in literature to damp oscillations. We propose a new stability condition to overcome the spurious modes. The proposed methodology is apllied to a one-dimensional contaminant transport problems in a saturated porous media that considers a radioactive contaminant decay at a constant rate.

ASSUNTO(S)

crank-nicolson numerical analysis tranport theory stability methods estabilidade teoria do transporte crank-nicolson formulação semidiscreta análise numérica semidiscrete formulation engenharia de transportes métodos estabilizados

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