MacCormack Method
 

Can anyone help me derive the MacCormack Method? I understand the steps (forward predictor - backward corrector, etc) but WHY? How did anyone first think to develop this process???

Nick

Re: MacCormack Method
 

An opinion:

He was trying things that looked good based on simple cases - driven by his intuition.

And it worked. Very well, as it turns out.

Re: MacCormack Method
 

The fisrt step predict the solution end the second correct it. Because the forward and backward differencing are alernated between the two steps as well as between the spatial derivatives, this eliminates any bias due to one-sided differcing.

See "Computational Fluid Dynamics: The Basics With Applications" Or "Computationnal Fluid Mechanics and Heat Transfer" by Anderson and al. You will find all that you need