C. Bommaraju

Publications (5)0 Total impact

• Source

  Available from: ac.in

  Conference Proceeding: Convergence of error in FVTD methods on tetrahedral meshes in 3D

  C. Bommaraju, W. Ackermann, T. Weiland
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  ABSTRACT: In this paper, the finite volume time domain (FVTD) semi-discrete formulation, discrete in the space and continuous in the time, is derived for the electromagnetic field simulation, starting from the Maxwell's equations. The time marching schemes that can be employed to turn this into discrete system of equations are presented. The discrete formulation is used to explain variations in FVTD methods e.g., methods which differ in spatial approximation. For a given problem, numerical methods anticipate the convergence of the solutions towards the reference (analytical) solution as the grid is refined. The convergence order for various FVTD methods is presented in different scenarios and compared with that of finite integration technique (FIT) and finite element method (FEM).
  Applied Electromagnetics Conference (AEMC), 2009; 01/2010
• Source

  Available from: iiit.ac.in

  Conference Proceeding: A Novel Low-Dispersive (2,2) Finite Difference Method: 3-D Case

  C. Bommaraju, R. Marklein
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  ABSTRACT: The dispersion relation and convergence of a novel (2,2) modified finite-difference time-domain (MFDTD) method, which has fourth order convergence and excellent broadband characteristics, are presented. Accuracy of MFDTD is compared with that of standard FDTD and Fang (4,4) FDTD. The Convergence characteristics of the MFDTD and the FDTD are also furnished. We have presented MFDTD in 2-D in CEM-TD 2005. Here we extend MFDTD to 3-D.
  Computational Electromagnetics in Time-Domain, 2007. CEM-TD 2007. Workshop on; 11/2007
• Source

  Available from: ac.in

  Conference Proceeding: Finite Volume Time Domain Method On TET & HEX Meshes

  C. Bommaraju, W. Ackermann, T. Weiland
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  ABSTRACT: Adapted from 'Computational Fluid Dynamics', Finite Volume Time Domain (FVTD) method is becoming increasingly popular in 'Computational Electromagnetics'. The focus of this paper is on the convergence analysis of different FVTD methods on tetrahedral and hexahedral meshes. Other aspects like implementation techniques, CPU time and memory are also furnished.
  Computational Electromagnetics in Time-Domain, 2007. CEM-TD 2007. Workshop on; 11/2007
• Conference Proceeding: Optimally accurate second-order time-domain finite-difference scheme for acoustic, electromagnetic, and elastodynamic wave modeling: one-dimensional case

  C. Bommaraju, R. Marklein
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  ABSTRACT: Numerical methods are extremely useful in solving real-life problems with complex materials and geometries. However, numerical methods in the time domain stiffer from artificial numerical dispersion. Standard numerical techniques which are second-order in space and time, like the conventional finite-difference three point (FD3) method, finite-difference time-domain (FDTD) method, and finite integration technique (FIT), provide estimates of the error of discretized numerical operators rather than the error of the numerical solutions computed using these operators. Here, optimally accurate time-domain (TD) finite-difference (FD) operators which are second-order in time as well as in space are derived. Optimal accuracy means the greatest attainable accuracy for a particular type of scheme, e.g., second-order FD, for some particular grid spacing. The modified FD scheme - FD modified: FDM - presented here attains reduction of numerical dispersion almost by a factor of 40 compared to the FD3, FDTD, and FIT. The CPU time for the FDM scheme is twice of that required by FD3 method. The modified operators lead to an implicit scheme, which is approximated by a predictor-corrector scheme yielding a two step explicit scheme. The possibility of extending this method to a staggered grid approach is also presented. Finally the comparison between analytical solution, FDTD/FIT method, FD3 method and FDM scheme with simulation results is depicted. Further examples are given in the presentation.
  Antennas and Propagation Society International Symposium, 2004. IEEE; 07/2004
• Conference Proceeding: A novel low-dispersive [2,2] finite difference method

  C. Bommaraju, R. Schuhmann, T. Weiland
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  ABSTRACT: Not Available
  Computational Electromagnetics in Time-Domain, 2005. CEM-TD 2005. Workshop on;