Efficient numerical scheme based on the method of characteristics applicable to two-dimensional fluid transients [electronic resource].
- Argonne, Ill. : Argonne National Laboratory, 1977.
Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy.
- Physical Description:
- Pages: 27 : digital, PDF file
- Additional Creators:
- Argonne National Laboratory
United States. Department of Energy. Office of Scientific and Technical Information
- Two-step explicit numerical procedures based on the method of characteristics are presented. These procedures use four bicharacteristics equally spaced on the Mach cone. The velocity components are first obtained for the entire field by use of known initial data. Pressure is calculated in the second step in which the advanced velocity data are used. Nowhere in these procedures is an iterative scheme required. A linearized set of hyperbolic differential equations describing two-dimensional transients in slightly compressible fluid is considered for numerical solution. Detailed schemes are described in which all integration paths (bicharacteristics) remain in the coordinate planes; hence, only simple linear interpolation is required. These schemes allow time steps as large as the entire Courant step. Further, a stable new scheme is discussed in which the allowable time step can actually exceed the Courant time step. The procedure recommended for such computations was chosen after an extensive numerical experimentation that demonstrated its simplicity, efficiency, and accuracy. Exact analytical solutions are constructed and compared with numerical results to demonstrate the accuracy of the recommended scheme. 13 figures.
- Published through SciTech Connect.
Shin, Y.W.; Valentin, R.A.
- Funding Information:
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