Implicit total variation diminishing (TVD) schemes for steady-state calculationsThe application of a new implicit unconditionally stable high resolution total variation diminishing (TVD) scheme to steady state calculations. It is a member of a one parameter family of explicit and implicit second order accurate schemes developed by Harten for the computation of weak solutions of hyperbolic conservation laws. This scheme is guaranteed not to generate spurious oscillations for a nonlinear scalar equation and a constant coefficient system. Numerical experiments show that this scheme not only has a rapid convergence rate, but also generates a highly resolved approximation to the steady state solution. A detailed implementation of the implicit scheme for the one and two dimensional compressible inviscid equations of gas dynamics is presented. Some numerical computations of one and two dimensional fluid flows containing shocks demonstrate the efficiency and accuracy of this new scheme. Previously announced in STAR as N83-23085
Document ID
19830058144
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Yee, H. C. (NASA Ames Research Center Moffett Field, CA, United States)
Warming, R. F. (NASA Ames Research Center Computational Fluid Dynamics Branch, Moffett Field, CA, United States)
Harten, A. (Tel Aviv, University Tel Aviv, Israel; New York University, New York, NY, United States)