Transient Finite element analysis in structures, acoustics and electromagnetics
- Various new quantities are proposed in continuum framework, which are conserved under certain conditions, in the field of acoustics and electromagnetics.
- We have proved both algorithmically as well as with numerical examples that trapezoidal rule FEM mimic different conservation laws in all these domains. Hence, the time stepping strategy can be said to be 'unconditionally stable' (from an energy perspective) allowing the use of arbitrarily large time-steps.
Hybrid/mixed FEM formulation in Structures and Electromagnetics
- For transient analysis in structures and structural acoustics far better efficiency is observed with hybrid element as compared to displacement based formulation. Advantages of hybrid elements are more pronounced at higher frequencies.
- We have implemented mixed FEM for eigen analysis in electromagnetics. This is the only strategy in nodal finite element which predict the null space accurately without adding any adhoc penalty term. It can handle sharp edges and corners, it can model inhomogeneous domain. In two dimension it works for all geometries; the only drawback is that it can not model curved geometries in three dimension.
Outward wave favouring Amplitude formulation for electromagnetic harmonic analysis in exterior domain
- Here, the highly oscillatory radial part of the field is separated out a-priori so that the Lagrange interpolation function has to capture a relatively gently varying function.
- We have solved a series of radiation and scattering problems, involving both conducting and dielectric bodies, including both convex and nonconvex domains. In all these cases proposed formulation has better coarse mesh accuracy than existing conventional formulation.
Monolithic FEM strategy for coupled multiphysics domains
- Coupled problems with structural acoustics interaction are solved. Better coarse mesh accuracy with hybrid elements is also visible in coupled analysis.
- Incompressible magneto-hydrodynamics flow is modelled using continuous pressure velocity stable formulation, which ensures more stability and better coarse mesh accuracy than staggered stabilized formulation. Both transient and steady-state formulations are developed for two- and three-dimensional geometries.
Minimization of Radiated Sound Power of a vibrating Shell structures using FEM Analysis.
- We have proposed an method for reducing radiated acoustic noise from 'light' fluid loaded structures. Here we minimize dynamic compliance (which is nothing but the input power) of the structure, which results in substantial reduction in the radiated sound power. Here we bypass the need for an acoustic and associated sensitivity analysis.
- In this work we keep the base structure unaltered, the location and thickness of the added stiffeners are decided using optimality criteria method to minimize the radiated sound.
Designing FEM tool with GUI interface.
Active member of the group developing HyFem. HyFem is a package to solve problems in structures, acoustics, electromagnetics and various other domains. Its GUI interface for preprocessing and postprocessing is in Matlab where as the analysis code is written in Fortran. Please visit HyFem Website