Multi-dimensional maximization method

[Ignea_unda]

I'm currently working on an expanded lifting-line problem. I've got plenty of data, but I need to find the maximum oswald efficiency factor. I've got a table of data of efficiency factors for taper and twist combinations and I need to interpolate to find the maximum in 2 directions. I don't know what the maximum is, nor do I know its location. The curve fits to the data I are not linear. Can anyone suggest a scheme? Bonus points for one that is simple (I'll give you extra special thank you or something like that on here!)

 

[RandomGuy88]

There are functions in MATLAB that allow you to interpolate you data onto an arbitrarily small grid. If you did this with your data you would then have an array of values for the efficiency factor and then you could just pick off the max.

 

[NatSusan]

There are a few different methods you could use to find the maximum Oswald efficiency factor in this scenario. One approach would be to plot the data points on a graph and visually identify the maximum point. You could also try using a computer program or spreadsheet to plot the data and automatically calculate the maximum point.

Another option would be to use a mathematical interpolation technique, such as spline interpolation, to estimate the value of the maximum efficiency factor. This would involve fitting a curve to the data points and then using the curve to estimate the maximum point.

If you are looking for a simple method, you could try using a basic linear interpolation between the data points. This would involve drawing a straight line between two nearby data points and using the equation for a line to estimate the maximum point. This method may not be as accurate as others, but it could give you a rough estimate to start with.

In terms of finding the maximum in two directions, you could try plotting the data in both the taper and twist directions separately and then looking for the maximum point in each direction. Alternatively, you could try using a two-dimensional interpolation method, such as bilinear interpolation, to estimate the maximum point in both directions simultaneously.

I hope this helps and good luck with your project!