Analysis of Self-Similar Solutions of Multidimensional Conservation Laws | Zendy

Allen M. Tesdall | Zendy

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Analysis of Self-Similar Solutions of Multidimensional Conservation Laws

Author(s) -

Allen M. Tesdall

Publication year - 2012

Publication title -

osti oai (u.s. department of energy office of scientific and technical information)

Language(s) - English

Resource type - Reports

DOI - 10.2172/1089161

Subject(s) - computation , supersonic speed , numerical analysis , conservation law , shock (circulatory) , scale (ratio) , riemann problem , numerical stability , computer simulation , mathematics , riemann hypothesis , resolution (logic) , computer science , mathematical analysis , physics , mechanics , algorithm , quantum mechanics , medicine , artificial intelligence

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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