Application of approximate chemical Jacobians for constant volume reaction and shock-induced combustion
作者： Seong-Lyong Kim , Jeong-Yeol Choi , In-Seuck Jeung , Yang-Ho Park
DOI: 10.1016/S0168-9274(01)00054-X
关键词: Mathematics 、 Applied mathematics 、 Stability (probability) 、 Mathematical physics 、 Computation 、 Constant (mathematics) 、 Scheme (mathematics) 、 Jacobian matrix and determinant 、 Shock (mechanics) 、 Gauss–Seidel method 、 LU decomposition
摘要: Abstract The present study suggests an approximate Jacobian, the Gauss–Seidel partial derived from concept of preconditioned time differencing methods, and includes it into LU-SGS (Lower Upper Symmetric Gauss–Seidel) scheme. validity Jacobian is demonstrated by calculating a constant volume reaction comparing results with those other Jacobians. Then, performance scheme examined stability analyses computations shock-induced combustions. show that as stable accurate full about 5–30% faster than while Jacobians produces satisfactory only at small step sizes.
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