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Thesis

Finite differences for the convection-diffusion equation

Subtitle:
on stability and boundary conditions
Abstract:

The solution of convection-diffusion problems is a challenging task for numerical methods because of the nature of the governing equation, which includes a non-dissipative component and a dissipative component. Once the convection-diffusion equation is discretised, it is usual to observe oscillations in the computed solution regardless of whether these might be expected in the original physical situation. Mostly these oscillations are the result of numerical instability. This thesis centr...

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Institution:
University of Oxford
Department:
Mathematical and Physical Sciences Division

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Role:
Supervisor
Publication date:
2001
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Barcode:
602819844
URN:
uuid:8369da31-2229-4e05-846c-de3072ac1a37
Local pid:
td:602819844
Language:
English
Subjects:

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