Research Interest

Current Research Goals:

The focus area of my research work is mesh generation which spans variety of problem domains starting from CAD Model meshing to fluid flow simulation. In particular Delaunay based methods for mesh generation are to be deeply studied, along with their scalability issues. I would like to use the meshes in actual simulation process and analyse the quality of result. The meshes can be of surfaces as well as volumes enclosed by a model. The topological correctness along with a good geometric approximation of the output mesh of the input model is to be ensured.

Other Research Activities:

Member of the editorial board of Journal of Computational Design and Engineering, Oxford University Press. https://academic.oup.com/jcde

Previous Research Activities:

Rensselaer Polytechnic Institute, Troy, NY
Scientific Computation Research Center
Advisor: Prof Mark Shephard

Given a multi-material domain voxel data where unlike scalar data, each voxel contained the information about the fraction of the volume of at the most two materials, thus having ambiguities in the data where more than two material regions intersect a voxel makes the problem harder. Developing and implementing an algorithm to construct a boundary representation from such voxel data of multi-material regions such that every shell of a material region is closed and there are no voids between adjacent shells.

The Ohio State University, Columbus, OH
Department of Computer Science and Engineering
Advisor: Prof Tamal K. Dey

Developed and implemented algorithm called QUALMESH to generate a tetrahedral mesh of the volume enclosed by a polyhedral domain. This algorithm can be used even when the polyhedral domain contains sharp input angles. The generated mesh will have most of the tetrahedra with good radius to shortest edge length ratio (also called as aspect ratio). There will be some skinny tetrahedra with bad aspect ratio left but they will be provably close to the small input angles.
The volume mesh obtained from QUALMESH may contain some tetrahedra, called slivers, whose dihedral angle is very small even though its aspect ratio is good. We developed and implemented WQUALMESH to remove as many slivers as possible. There may remain some close to the small input angles.
Developed and implemented an algorithm called POLYSURFMESH to generate a triangular mesh of surface of a polyhedral domain. This algorithm is a modification of QUALMESH and hence can be used to mesh the surface of a polygonal domain with small input angles. Both QUALMESH and POLYSURFMESH preserves all the input edges and facets.
Developed an implemented an algorithm called SURFREMESH to re-mesh a polygonal surface approximating a smooth surface with guarantees on the aspect ratio of the triangles of the mesh and guarantees on the geometrical approximation of the input surface.

BITS Pilani

Research Interest

Research Interest

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