Abstract
The interaction of shocks with multi-material interfaces can occur in several applications, including high-speed flows with droplets, bubbles and particles, and hypervelocity impact and penetration. To simulate such complicated interfacial dynamics problems, a fixed Cartesian grid approach in conjunction with level set interface tracking is attractive. In this regard, the Ghost Fluid Method (GFM) has been widely used to capture the interface conditions for both fluid-fluid and solid fluid interfaces. However, GFM has been found to suffer catastrophic failure particularly when strong shocks impinge on the interface. Failure of the GFM can be easily alleviated by computing numerical fluxes with the solution obtained from solving a local Riemann problem normal to the interface. This technique was recognized and had been widely used in the past both in the GFM and non GFM framework. In this work, a unified Riemann solver based GFM approach to treat the presence of embedded (solid and fluid) objects in compressible flows is presented. The method is shown here to mitigate the over/under heating errors and also to accurately resolve the wave interactions occurring at the interface. The method has been used to solve several problems with strong shock interactions for a wide range of one- and two-dimensional problems. Shocks interacting with multiple particles and complex shapes have been computed. The method is currently being applied to study the dynamics of dense particulate compressible flows.
Published Version
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