1. ACCELERATED PISTON PROBLEM AND HIGH ORDER MOVING BOUNDARY TRACKING METHOD FOR COMPRESSIBLE FLUID FLOWS.
- Author
-
ZHIFANG DU and JIEQUAN LI
- Subjects
- *
FLUID flow , *RIEMANN-Hilbert problems , *PISTONS , *GEOGRAPHIC boundaries , *COMPRESSIBLE flow , *GAS dynamics - Abstract
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 acceleration is a key element in the description of the motion and should be incorporated into the design of a moving boundary tracking method. Technically, the resolution of the accelerated piston problem boils down to a one-sided generalized Riemann problem solver, which is taken as the building block for constructing schemes with high order accuracy in both 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. [ABSTRACT FROM AUTHOR]
- Published
- 2020
- Full Text
- View/download PDF