CONTACT DISCONTINUITIES FOR 2-DIMENSIONAL INVISCID COMPRESSIBLE FLOWS IN INFINITELY LONG NOZZLES
SCIE
SCOPUS
- Title
- CONTACT DISCONTINUITIES FOR 2-DIMENSIONAL INVISCID COMPRESSIBLE FLOWS IN INFINITELY LONG NOZZLES
- Authors
- Bae, Myoungjean; Park, Hyangdong
- Date Issued
- 2019-05
- Publisher
- SIAM PUBLICATIONS
- Abstract
- We prove the existence of a subsonic weak solution (u, rho, p) to a steady Euler system in a two-dimensional infinitely long nozzle when prescribing the value of the entropy (= p/rho gamma) at the entrance by a piecewise C-2 function with a discontinuity at a point. Due to the variable entropy condition with a discontinuity at the entrance, the corresponding solution has a nonzero vorticity and contains a contact discontinuity x(2) = g(D)(x(1)). We construct such a solution via Helmholtz decomposition. The key step is to decompose the Rankine-Hugoniot conditions on the contact discontinuity via Helmholtz decomposition so that the compactness of approximated solutions can be achieved. Then we apply the method of iteration to obtain a piecewise smooth subsonic flow with a contact discontinuity and nonzero vorticity. We also analyze the asymptotic behavior of the solution at far field.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/100204
- DOI
- 10.1137/18M1219540
- ISSN
- 0036-1410
- Article Type
- Article
- Citation
- SIAM JOURNAL ON MATHEMATICAL ANALYSIS, vol. 51, no. 3, page. 1730 - 1760, 2019-05
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