is it only algorithm that we use for quad mesh in prepomax.
if i am using above algorithm, i am getting mesh of quad dominated(rotating quad) like shown below. how to correct that.
The quasi-structured algorithm usually gives you all quads. Try a different algorithm, frontal-delunay or meshadapt or automatic.
You could further split your cad to have more control if you need.
Did you set your default mesh size the same for both examples ?
Furthermore, you are also getting fine mesh around the holes and small features. If you do not want this, then increase your minimum mesh size.
Try Shell Gmsh algorithm with other Recombination algorithm (I usually use Blossom or Simple). But for some geometries, you may not be able to avoid triangles (like when all quads would be too distorted in some locations).
There’s also non-Gmsh quad mesher where you can set Quad-dominated.
can i know the best algorithm for generating quad mesh?
quasi-structured quad almost perfect, but still under experimental and continuous improvement. Edge line partition needed to get uniform mesh of quad mesh, below my example tested on 2023.
It has some limitation, these algorithms did not work on solid part and extrusion methods. Object required is surface model, then it can be use normal extrusion after mesh is generated.
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The best algorithm for quad mesh is handamade partitions on the surface and manual meshing 
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I DIDNT FIND THIS ALGORITHMS IN PREPROMAX, HOW CAN I GET This
Nice meshes… but the yellow patch was not connected to the green ones. I felt very relaxing seeing how the quads or hexas flows in a good mesh, maybe is the filling of a good work finished, because have done a lot in the past, and once is finish is just… awesome, even more in case of hexa meshing of complex models.
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it has three part separated in single files: dome, quarter torus and square plate with holes shown by different color in Gmsh. Two part has been succeeded by quasi-structured quad algorithm, but later on plate with holes in large diameter shown non uniformity at some edge side. It seems some partition still needed at mid-side edge or circle quadrant.
another example of partition provided and not (default).
or below, by default (w/o partitions) mono-symmetric geometry did not generate symmetric mesh also.
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as you see we are getting rotating quads, how to remove that.
can step/iges file is provided? commonly, it’s quite easy and fast in meshing surface by several Gmsh algorithm to achieved desire result.