Which of these theorems is used to transform the general diffusion term into boundary based integral in the FVM?(a) Gauss divergence theorem(b) Stokes’ theorem(c) Kelvin-Stokes theorem(d) Curl theoremI had been asked this question in class test.My question is based upon FVM for 1-D Steady State Diffusion in chapter Diffusion Problem of Computational Fluid Dynamics

Which of these theorems is used to transform the general diffusion ter

1.	Which of these theorems is used to transform the general diffusion term into boundary based integral in the FVM?(a) Gauss divergence theorem(b) Stokes’ theorem(c) Kelvin-Stokes theorem(d) Curl theoremI had been asked this question in class test.My question is based upon FVM for 1-D Steady State Diffusion in chapter Diffusion Problem of Computational Fluid Dynamics
Answer» Correct answer is (a) Gauss divergence theorem To explain: The general diffusion term is div(Γ gradΦ). INTEGRATING for the finite volume METHOD, it becomes ∫CV div(Γ gradΦ)dV Applying the Gauss divergence theorem, ∫A\(\vec{n}.\)(Γ gradΦ)dA This is the boundary BASED integration as the boundaries will be AREAS.

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