2015/10/20 by Stefan Fechter, Claus‐Dieter Munz, Fechter, Stefan +5
Engineering · Mathematics · #76B45 #76N #76Txx #82B26 #82C26 #Computational Fluid Dynamics and Aerodynamics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Gas Dynamics and Kinetic Theory #Navier-Stokes equation solutions
paper · pdf · doi:10.48550/arxiv.1511.03612
openalex publication_date 2015/10/20 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28
The numerical approximation of non-isothermal liquid-vapor flow within the\ncompressible regime is a difficult task because complex physical effects at the\nphase interfaces can govern the global flow behavior. We present a sharp\ninterface approach which treats the interface as a shock-wave like\ndiscontinuity. Any mixing of fluid phases is avoided by using the flow solver\nin the bulk regions only, and a ghost-fluid approach close to the interface.\nThe coupling states for the numerical solution in the bulk regions are\ndetermined by the solution of local multi-phase Riemann problems across the\ninterface. The Riemann solution accounts for the relevant physics by enforcing\nappropriate jump conditions at the phase boundary. A wide variety of interface\neffects can be handled in a thermodynamically consistent way. This includes\nsurface tension or mass/energy transfer by phase transition. Moreover, the\nlocal normal speed of the interface, which is needed to calculate the time\nevolution of the interface, is given by the Riemann solution. The interface\ntracking itself is based on a level-set method.\n The focus in this paper is the description of the multi-phase Riemann solver\nand its usage within the sharp interface approach. One-dimensional problems are\nselected to validate the approach. Finally, the three-dimensional simulation of\na wobbling droplet and a shock droplet interaction in two dimensions are shown.\nIn both problems phase transition and surface tension determine the global bulk\nbehavior.\n