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A Method of Characteristics for Solving Two‐dimensional Unsteady Flow Problems
Author(s) -
Ravindran Renuka
Publication year - 1979
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19790591009
Subject(s) - flow (mathematics) , mathematics , reduction (mathematics) , rest (music) , surface (topology) , finite difference , mathematical analysis , distribution (mathematics) , unsteady flow , finite difference scheme , mechanics , geometry , physics , acoustics
The aim of this investigation is to evolve a method of solving two‐dimensional unsteady flow problems by the method of characteristics. This involves the reduction of the given system of equations to an equivalent system where only ‘interior’ derivatives occur on a characteristic surface. From this system, four special bicharacteristic directional derivatives are chosen. A finite difference scheme is prescribed for solving the equations. General rectangular lattices are also considered. As an example, we investigate the propagation of an initial pressure distribution in a medium at rest.