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Volume 15, Issue 4
Shock Interactions in Nonequilibrium Hypersonic Flow

Taehoon Park & Youlan Zhu

J. Comp. Math., 15 (1997), pp. 345-364.

Published online: 1997-08

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  • Abstract

A shock interaction problem is solved with finite difference methods for a hypersonic flow of air with chemical reactions. If a body has two concave corners, a secondary shock is formed in the shock layer and it meets the main shock later. As the two shocks meet, the flow becomes singular at the interaction point, and a new main shock, a contact discontinuity and an expansion wave appear as a result of interaction between the two shocks. Therefore, the problem is very complicated. Using proper combinations of implicit and explicit finite difference schemes according to the property of the equations and the boundary conditions, we compute the flow behind the interaction point successfully.

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@Article{JCM-15-345, author = {Park , Taehoon and Zhu , Youlan}, title = {Shock Interactions in Nonequilibrium Hypersonic Flow}, journal = {Journal of Computational Mathematics}, year = {1997}, volume = {15}, number = {4}, pages = {345--364}, abstract = {

A shock interaction problem is solved with finite difference methods for a hypersonic flow of air with chemical reactions. If a body has two concave corners, a secondary shock is formed in the shock layer and it meets the main shock later. As the two shocks meet, the flow becomes singular at the interaction point, and a new main shock, a contact discontinuity and an expansion wave appear as a result of interaction between the two shocks. Therefore, the problem is very complicated. Using proper combinations of implicit and explicit finite difference schemes according to the property of the equations and the boundary conditions, we compute the flow behind the interaction point successfully.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9212.html} }
TY - JOUR T1 - Shock Interactions in Nonequilibrium Hypersonic Flow AU - Park , Taehoon AU - Zhu , Youlan JO - Journal of Computational Mathematics VL - 4 SP - 345 EP - 364 PY - 1997 DA - 1997/08 SN - 15 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9212.html KW - AB -

A shock interaction problem is solved with finite difference methods for a hypersonic flow of air with chemical reactions. If a body has two concave corners, a secondary shock is formed in the shock layer and it meets the main shock later. As the two shocks meet, the flow becomes singular at the interaction point, and a new main shock, a contact discontinuity and an expansion wave appear as a result of interaction between the two shocks. Therefore, the problem is very complicated. Using proper combinations of implicit and explicit finite difference schemes according to the property of the equations and the boundary conditions, we compute the flow behind the interaction point successfully.

Park , Taehoon and Zhu , Youlan. (1997). Shock Interactions in Nonequilibrium Hypersonic Flow. Journal of Computational Mathematics. 15 (4). 345-364. doi:
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