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The Osher scheme for non‐equilibrium reacting flows
Author(s) -
Suresh Ambady,
Liou MengSing
Publication year - 1992
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650150206
Subject(s) - spurious relationship , detonation , mathematics , riemann problem , limiter , riemann solver , flow (mathematics) , computation , flux limiter , mathematical optimization , computer science , mechanics , mathematical analysis , riemann hypothesis , algorithm , physics , geometry , explosive material , telecommunications , statistics , chemistry , finite volume method , organic chemistry
An extension of the Osher upwind scheme to non‐equilibrium reacting flows is presented, Owing to the presence of source terms, the Riemann problem is no longer self‐similar and therefore its approximate solution becomes tedious. With simplicity in mind, a linearized approach which avoids an iterative solution is used to define the intermediate states and sonic points. The source terms are treated explicitly. Numerical computations are presented to demonstrate the feasibility, efficiency and accuracy of the proposed method. The test problems include a ZND (Zeldovich‐Neumann‐Doring) detonation problem for which spurious numerical solutions which propagate at mesh speed have been observed on coarse grids. With the present method, a change of limiter causes the solution to change from the physically correct CJ detonation solution to the spurious weak detonation solution.