The VH System is a layer-by-layer system which has a larger set of algorithms compared to the standard Fridrich system. It was invented by Lars Vandenbergh from Belgium and Dan Harris of the UK, and was designed to be a useful stepping stone to bridge the large gap between the CFOP and ZB Systems. Whilst using VH alone may not be enough to significantly improve your average solving times, the algorithms you will learn allow you to pick up some more advanced tricks and help you improve in other areas, as well as improving your general cubing knowledge.
As in the CFOP System, you first make a Cross, and then proceed to solve the First Two Layers. Here is where the methods change. You will use a set of special algorithms to solve the 4th and final F2L pair. Once the F2L is complete, you then execute a COLL (Corner Orient Last Layer) algorithm, and finally finish with a Permutation algorithm if necessary. I have described these stages in detail below, and for each stage there is a dedicated section on the website to help you fully understand the various steps involved.
Best of Luck! - DanH
The very first stage in this system is to locate and solve the 4 edge pieces which make up the Cross. The Cross is so called because when the 4 edge pieces are solved, a cross pattern is formed on the Down face (or wherever you decided to solve it, I advocate solving the Cross on the Down face throughout this tutorial). This is an intuitive step and requires no algorithms, but can always be solved in 8 moves or less.
During this stage, you locate a "pair" (simply a corner piece that belongs in the First Layer, and the corresponding edge piece that belongs above it in the Second Layer), and you use an algorithm to solve these pieces into the correct "slot" (the name for the area in which the solved pair resides). You need to solve 4 pairs in order to complete the First 2 Layers, but in the VH system you first solve 3 pairs, and then use special algorithms to solve the final pair. In this stage there are 41 algorithms to learn (42 configurations including the solved case).
In the VH System, when solving the 4th F2L pair you also Orient the edge pieces of the Last Layer. You do this in two stages, called "pair-up", and "insert". The pair-up and insert method for F2L is nothing new, but in the VH system you use a special set of algorithms to flip the necessary edges during the "insert" stage. There are 32 special algorithms, and by using these you can then go straight into the next stage.
Provided you have managed to successfully Orient the LL edges correctly, you will arrive at one of the 40 COLL cases. During COLL you both Orient and Permute the LL corners simultaneously, whilst keeping the LL edge orientation intact. This results in a complete top face, and in 1/12 instances on average, a completed Last Layer! These are dramtically reduced odds from the chances of finishing the Last Layer in 1 step in the standard CFOP method. In the other 11/12 times, you only have a simple and fast edge permutation to solve, since the corners are already permuted.
After COLL, you can only be left with a Permutation of edges. There are 4 possible distinct edge permutations, and all have very fast algorithms. This is a quick way to finish off the cube.