Week 3 - Taylor table method and Matlab code

Importance of schemes

Right Skewed Scheme utilises the data from the right points of initial value , where as left scheme ultises the valve from the previous points at the left. These shemes signify the importance of flow direction , which are always the case in engineering simulations where we provide the initial boundry conditions at the inlet or at the exit

The plot above shows the central differencing scheme has high eroor when compred to left and right schemes. This is mainly due to the left and right schemes use 6 terms , where as central uses 5 terms which constitutes larger error.

The above plot shows higher error for higher order central,left and right differencing schemes, but as the dx value increas the error becomes smaller and smaller as more data points are used in higher order schemes. Usually it is recommended in CFD analysis to use first order schemes to stabilize the model then use higher order to improve the accuracy of the results