1996 | OriginalPaper | Chapter
Finite Volume Methods
Authors : Prof. Dr. Joel H. Ferziger, Prof. Dr. Milovan Perić
Published in: Computational Methods for Fluid Dynamics
Publisher: Springer Berlin Heidelberg
Included in: Professional Book Archive
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As in the previous chapter, we shall consider only the generic conservation equation for a quantity φ and assume that the velocity field and all fluid properties are known. The finite volume method uses the integral form of the conservation equation as the starting point: 4.1$$\int_S \rho\phi\upsilon\,\cdot n\,{\text{d}}S = \int_S \Gamma\,{\text{grad}}\phi \cdot\,n\,{\text{d}}S + \int_{\Omega}\,q_{\phi}\,{\text{d}}\Omega.$$