2019/06/09 by Zhifang Du, Du, Zhifang, Jiequan Li +1
Engineering · Mathematics · #35L50 #35L65 #65M08 #76M12 #76N15 #Computational Fluid Dynamics and Aerodynamics #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Gas Dynamics and Kinetic Theory
paper · pdf · doi:10.48550/arxiv.1906.04167
openalex publication_date 2019/06/09 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28
Reliable tracking of moving boundaries is important for the simulation of compressible fluid flows and there are a lot of contributions in literature. We recognize from the classical piston problem, a typical moving boundary problem in gas dynamics, that the acceleration is a key element in the description of the motion and it should be incorporated into the design of a moving boundary tracking (MBT) method. Technically, the resolution of the accelerated piston problem boils down to a one-sided generalized Riemann problem (GRP) solver, which is taken as the building block to construct schemes with the high order accuracy both in space and time. In this paper we take this into account, together with the cell-merging approach, to propose a new family of high order accurate moving boundary tracking methods and verify its performance through one- and two-dimensional test problems, along with accuracy analysis.