A Detached Shock Calculation by Second Order Finite Differences

作者: Arnold Lapidus

DOI:

关键词: Viscosity (programming)Transformation (function)Finite differenceCartesian coordinate systemShock (mechanics)Classical mechanicsNonlinear systemPlane symmetryMathematicsMathematical analysisRegular polygon

摘要: Abstract A detached shock problem for a symmetric curved convex cylindrical body moving parallel to its plane of symmetry was solved by using third-order accurate Richtmyer form the Lax-Wendroff conservation equations. One innovation is an easy use “artificial viscosity” term which preserves high order accuracy calculation while removing nonlinear instabilities otherwise appear in region and near boundaries. Another simple transformation Cartesian space changes into straight line, thus reducing large number special points irregularly shaped mesh regions would difference method calculation. Such transformations are shown preserve property system differential Other aspects artificial viscosity discussed. The results numerical on CDC 6600 computer compared with known results.

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