The reflection of weak shocks constitutes a challenging problem from a modelling and numerical point of view. Indeed, there exist certain combinations of free-stream Mach number and flow deflection angle for which the Von Neumann theory admits no solution. However, numerical solutions for these same flow parameters show a flow pattern which is very similar to the von Neumann's triple point solution. This inconsistency is referred to as the von Neumann paradox, and the observed reflection pattern is called the von Neumann reflection. In the paper these issues will be investigated by computing von Neumann reflections using different computational approaches including an unstructured shock-fitting technique. © 2010 by the authors.
Numerical simulations of von Neumann reflections / Ivanov, M; Paciorri, Renato; A., Bonfiglioli. - In: AIAA PAPER. - ISSN 0146-3705. - (2010). (Intervento presentato al convegno 40th AIAA Fluid Dynamics Conference and Exhibit tenutosi a Chicago; United States nel 28 Jun - 1 Jul 2010).
Numerical simulations of von Neumann reflections.
PACIORRI, Renato;
2010
Abstract
The reflection of weak shocks constitutes a challenging problem from a modelling and numerical point of view. Indeed, there exist certain combinations of free-stream Mach number and flow deflection angle for which the Von Neumann theory admits no solution. However, numerical solutions for these same flow parameters show a flow pattern which is very similar to the von Neumann's triple point solution. This inconsistency is referred to as the von Neumann paradox, and the observed reflection pattern is called the von Neumann reflection. In the paper these issues will be investigated by computing von Neumann reflections using different computational approaches including an unstructured shock-fitting technique. © 2010 by the authors.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.