Convection Regularization of High Wavenumbers in Turbulence ANS Shocks

Abstract

This manuscript discusses the recent results in the research project on inviscid regularization techniques with emphasis on applications to compressible gas flows. It is well-established that general systems of quasilinear, first-order hyperbolic PDEs exhibit finite-time blowup of smooth solutions, thus restricting well-posedness of classical solutions in short-time. For instance, with conservation laws, one must generally seek global-in-time solutions in a larger class of discontinuous solutions. Further physically motivated admissibility conditions are placed in order to obtain the uniqueness and stability of such solutions.

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Document Details

Document Type
Technical Report
Publication Date
Jul 31, 2011
Accession Number
ADA565292

Entities

People

  • Kamran Mohseni

Organizations

  • University of Colorado Boulder

Tags

Communities of Interest

  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Air Force
  • Boltzmann Equation
  • Cauchy Problem
  • Differential Equations
  • Equations
  • Euler Equations
  • Filters
  • Filtration
  • Gas Flow
  • Linear Systems
  • Partial Differential Equations
  • Sequences
  • Shock
  • Shock Tubes
  • Simulations
  • Transport Ships
  • Waves

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Systems Analysis and Design