Towards High Resolution Numerical Algorithms for Wave Dominated Physical Phenomena

Abstract

During this project several new numerical algorithms were designed, analyzed, and implemented with the goal of accelerating computational experiments in time-domain electromagnetics and acoustics. Novel results include a new family of radiation boundary conditions used for truncating computational domains used in external scattering simulations. A new filter and also local time stepping method were created for stabilizing coarse temporal approximations for discontinuous Galerkin time-domain computations. In additional work a new tiling algorithm was developed allowing large numbers of polyomino tiles to be arranged to cover a two dimensional shape without leaving gaps. This abstract algorithm has application in the design of passive array antenna to minimize side-lobe radiation.

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Document Details

Document Type
Technical Report
Publication Date
Jan 30, 2009
Accession Number
ADA586691

Entities

People

  • Timothy Warburton

Organizations

  • Rice University

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Differential Equations
  • Electromagnetic Fields
  • Graphics Processing Unit
  • High Resolution
  • Mathematics
  • Numerical Analysis
  • Partial Differential Equations
  • Radiation
  • Scattering
  • Simulations
  • Standing Waves
  • Time Domain
  • Wave Equations
  • Wave Propagation

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Phased Array Antenna Design.