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A compact and fast Matlab code solving the incompressible ...

A compact and fast Matlab code solving the incompressibleNavier-Stokes equations on rectangular SeiboldApplied MathematicsMassachusetts Institute of 31, 20081 IntroductionOn the following pages you find a documentation for the Matlab , as it is used forCourse : Computational Science and En-gineering IIat theMassachusetts Institute of Technology. The code can be downloaded fromtheComputational Science and Engineeringweb Itis also linked on the course web code shall be used for teaching and learning about incompressible , viscous is an example of a simple numerical method for solving the navier -Stokes equations.

A derivation of the Navier-Stokes equations can be found in [2]. The momentum equations (1) and (2) describe the time evolution of the velocity field (u,v) under inertial and viscous forces. The pressure p is a Lagrange multiplier to satisfy the incompressibility condition (3).

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