Author: Rajesh Bhaskaran, Cornell University
1. Introduction
2. Finite Volume Method
3. Discretization
4. Algebraic Equations
5. Linearization
6. Algorithm
4. Algebraic Equations
Created using ANSYS (Version Number)
Deriving System of Algebraic Equations
Example: Deriving System of Algebraic Equations
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