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Full-Text Articles in Astrophysics and Astronomy

On The Application And Extension Of Harten's High-Resolution Scheme, Helen C. Yee, R. F. Warming, Amiran Harten Jun 1982

On The Application And Extension Of Harten's High-Resolution Scheme, Helen C. Yee, R. F. Warming, Amiran Harten

United States National Aeronautics and Space Administration: Publications

Xost first-order upstream conservative differencing methods can capture shocks quite well for one-dimensional problems. A direct application of these first-order methods to two-dimensional problems does not necessarily produce the same type of accuracy unless the shocks are locally aligned with the mesh. Harten has recently developed a second-order high-resolution explicit method for the numerical computation of weak solutions of one-dimensional hyperbolic conservation laws. The main objectives of this paper are (a) to examine the shock resolution of Harten's method for a two-dimensional shock reflection problem, (b) to study the use of a high-resolution scheme as a post-processor to an approximate …