4. Algebraic Equations

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+Cv^₁+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?

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.

Conservation is Built into FVM

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Discretization: Overview

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Go to Step 5. Linearization

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