Module 5: Solution of Navier-Stokes Equations for Incompressible Flow Using SIMPLE and MAC Algorithms
  Lecture 27:
 

 

 

Consequently, eq. (27.6) can be written as

(27.7)

In the above equation, signifies all the convective and diffusive contributions from the neighboring nodes and their coefficients . The coefficients and contain grid sizes, and the solution of and at th time level. The term equals In the following sub-section, equation (27.6) has been written term by term so that , and in equation (27.7) can be clearly determined.

Equation (27.6) can be expended as

or,

 

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