Solving diffusion and convection-diffusion equations using the finite volume method
Numerical Solution of the Navier-Stokes Equations by the Finite Volume Method
Article REF: AF1406 V1
Solving diffusion and convection-diffusion equations using the finite volume method
Numerical Solution of the Navier-Stokes Equations by the Finite Volume Method

Author : Pierre SPITERI

Publication date: December 10, 2022 | Lire en français

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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:

∭Ωdiv(U→)⋅dx⋅dy⋅dz=
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