High-Order Algorithms for 3D Plasma Simulations on Unstructured and Hybrid Meshes

Abstract

The work completed under this project builds on our previous work sponsored by AFOSR on developing a universal spectra basis for formulating algorithms for high-order accurate solutions of arbitrary nonlinear systems of PDEs in complex-geometry domains. To this end, several classes of classical numerical methods (e.g. finite elements and finite volumes) as well as modern methods (e.g. spectral and spectral elements) are simply subcases of the developed new numerical methodology. On of the unique features of the new methods is that its accuracy is insensitive to the mesh quality, which allows simulation in moving and very distorted domains (without re-gridding) at extremely high-efficiencies, not possible with any other method.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1999
Accession Number
ADA381671

Entities

People

  • George Karniadakis

Organizations

  • Brown University

Tags

Communities of Interest

  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Algorithms
  • Applied Mathematics
  • Computational Fluid Dynamics
  • Efficiency
  • Engineering
  • Equations
  • Fluid Dynamics
  • Fluid Mechanics
  • Galerkin Method
  • Geometry
  • Mathematics
  • Mechanical Engineering
  • Mechanics
  • Simulations
  • Turbulence
  • Universities

Fields of Study

  • Physics

Readers

  • Computational Fluid Dynamics (CFD)
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)