A numerical test of viscous transonic flows with TVD scheme

© 1999 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved. The two-dimensional compressible unsteady Navier-Stokes equations are computed with a second-order accurate Non-MUSCL TVD scheme to obtain the steady-state solution according to the’ time-dependent method. The shock wave is successfully captured with a good resolution at both. transonic and supersonic regions, and the capturing process is analyzed. The comparison of the higher-order accurate TVD scheme with the first-order accurate is made in order to demonstrate the difference of the resohrtion to shock waves. The process of approaching the steady state with the timedependent method is explained. In addition, the interaction of shock waves for different Mach numbers and different angles of attack are described by showing the local flow situation at the interaction region.