49 citations · 92 across the 17 of their papers we have counts for
21 papers
Van der Waals shock polars with multiple or supersonic critical points
Volker W. Elling
It is shown that the -van der Waals equation of state (eos) permits shock polars with supersonic critical points, corresponding to critical or strong-type shock reflections that…
Shock polars for ideal non-polytropic gas
Volker W. Elling
We show that shock polars for ideal non-polytropic gas (thermally but not calorically perfect) have a unique velocity angle maximum, the critical shock, assuming convex equation of…
Triple points and sign of circulation
Volker Elling
Mach reflection generally produces a contact discontinuity whose circulation has previously been analyzed using "thermodynamic" arguments based on the Hugoniot relations across the…
Vortex cusps
Volker Elling
We consider pairs of self-similar 2d vortex sheets forming cusps, equivalently single sheets merging into slip condition walls, as in classical Mach reflection at wedges. We derive…
Piecewise analytic bodies in subsonic potential flow
Volker Elling
We prove that there are no nonzero uniformly subsonic potential flows around bodies with three or more protruding corners, for piecewise analytic boundary and for equation of state…
Nonexistence of compressible irrotational inviscid flows along infinite protruding corners
Volker Elling
We consider inviscid flow with isentropic coefficient greater than one. For flow along smooth infinite protruding corners we attempt to impose a nonzero limit for velocity at infin…