Unsteady, one-dimensional gas dynamics computations using a TVD type sequential solverThe efficacy of high resolution convection schemes to resolve sharp gradient in unsteady, 1D flows is examined using the TVD concept based on a sequential solution algorithm. Two unsteady flow problems are considered which include the problem involving the interaction of the various waves in a shock tube with closed reflecting ends and the problem involving the unsteady gas dynamics in a tube with closed ends subject to an initial pressure perturbation. It is concluded that high accuracy convection schemes in a sequential solution framework are capable of resolving discontinuities in unsteady flows involving complex gas dynamics. However, a sufficient amount of dissipation is required to suppress oscillations near discontinuities in the sequential approach, which leads to smearing of the solution profiles.
Document ID
19920066457
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Thakur, Siddharth (NASA Marshall Space Flight Center Huntsville, AL, United States)
Shyy, Wei (Florida, University Gainesville, United States)