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4. Algebraic Equations
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Deriving System of Algebraic Equations
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Example: Deriving System of Algebraic Equations
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Check Your Understanding
Consider the algebraic equation for mass conservation at the end of the above video. This equation is of the form: Au1+Bu2+Cv1+Dv3=E where A,B,C,D,E are constant coefficients. From the explanation in the video, one can deduce that A=B=Δy/2. Denote the width of each cell in the x direction as Δx.
What is the value of C, the coefficient that multiples v1? Answer: -Δx/2
Check Your Understanding
What is the value of the coefficient E in the equation in the previous question? Assume that that the inlet velocity is 1m/s in the x direction. Answer: Δy
Conservation is Built into FVM
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Discretization: Overview
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Go to Step watch?v=QMB5bSukxG4&feature=youtu.be 5. Linearization
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