Analysis of Self-Similar Solutions of Multidimensional Conservation Laws

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Description

This project brought large-scale, advanced methods for numerical solution of PDE to bear on the two-dimensional Riemann problem, and obtained numerical solution of problem. This numerical solution allowed us to describe key features of the solution. Analysis was combined with numerical solution to explain these numerical results. High-resolution, large-scale numerical computations show for the #12;first time that a shock forms strictly in the supersonic region. Numerical solutions appear to show the disappearance of a diffracting shock at a sonic line.

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Tesdall, Allen M. August 31, 2012.

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Description

This project brought large-scale, advanced methods for numerical solution of PDE to bear on the two-dimensional Riemann problem, and obtained numerical solution of problem. This numerical solution allowed us to describe key features of the solution. Analysis was combined with numerical solution to explain these numerical results. High-resolution, large-scale numerical computations show for the #12;first time that a shock forms strictly in the supersonic region. Numerical solutions appear to show the disappearance of a diffracting shock at a sonic line.

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  • Report No.: DOE/SC0001378-3
  • Grant Number: SC0001378
  • DOI: 10.2172/1089161 | External Link
  • Office of Scientific & Technical Information Report Number: 1089161
  • Archival Resource Key: ark:/67531/metadc834407

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Creation Date

  • August 31, 2012

Added to The UNT Digital Library

  • May 19, 2016, 9:45 a.m.

Description Last Updated

  • Nov. 22, 2016, 6:17 p.m.

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Tesdall, Allen M. Analysis of Self-Similar Solutions of Multidimensional Conservation Laws, report, August 31, 2012; United States. (digital.library.unt.edu/ark:/67531/metadc834407/: accessed August 17, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.