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1. Solving diffusion and convection-diffusion equations using the finite volume method
Since 1970, a new method has appeared which is currently enjoying real success, given its ease of implementation. This is the finite volume method, based on a different principle of equivalent formulation of the distinct problem than that used in the finite element method, using Ostrogradsky's formula, also known as the divergence theorem. Ostrogradsky's formula, the divergence theorem, is given below:
where
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Solving diffusion and convection-diffusion equations using the finite volume method
Some numerical fluid mechanics algorithms for velocity-pressure coupling
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