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Accurate, Efficient and Monotonic Numerical Methods for Multi-dimensional Compressible Flows. Part I : Spatial Discretization
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, Kyu Hong | - |
dc.contributor.author | Kim, Chongam | - |
dc.date.accessioned | 2009-08-11 | - |
dc.date.available | 2009-08-11 | - |
dc.date.issued | 2005-02 | - |
dc.identifier.citation | J. Comput. Phys. 208, 527 (2005) | en |
dc.identifier.issn | 0021-9991 | - |
dc.identifier.uri | https://hdl.handle.net/10371/6882 | - |
dc.description.abstract | The present papers deal with numerical methods toward the accurate and efficient computations of multi-dimensional steady/unsteady compressible flows. In Part I, a new spatial discretization technique is introduced to reduce excessive numerical dissipation in a non-flow-aligned grid system. Through the analysis of TVD limiters, a criterion is proposed to predict cell-interface states accurately both in smooth region and in discontinuous region. According to the criterion, a new way of re-evaluating the cell-interface convective flux in AUSM-type methods is developed. The resultant flux reduces numerical dissipation remarkably in multi-dimensional flows. Also, the monotonicity of AUSM-type methods is achieved by modifying the pressure splitting function directly based on the governing equations and the detection of sonic transition point with respect to a cell-interface. It is noted that the newly formulated AUSM-type flux for Multi-dimensional flows, named M-AUSMPW+, possesses many improved properties in term of accuracy, computational efficiency, monotonicity and grid independency.
Through numerous test cases from contact and shock discontinuities, vortex flow, shock wave/boundary-layer interaction to viscous shock tube problems, M-AUSMPW+ proves to be efficient and about twice more accurate than conventional upwind schemes. The three-dimensional implementation of M-AUSMPW+ is expected to provide accuracy and efficiency improvement furthermore. | en |
dc.description.sponsorship | The authors appropriate the financial support by Agency for Defense Development (ADD) and by the
Brain Korea-21 Program for the Mechanical and Aerospace Engineering at Seoul National University. | en |
dc.language.iso | en | - |
dc.publisher | Elsevier | en |
dc.subject | multi-dimensional flow computations | en |
dc.subject | advection property | en |
dc.subject | AUSM-type method | en |
dc.subject | M-AUSMPW+ | en |
dc.subject | TVD limiting condition | en |
dc.subject | MUSCL | en |
dc.title | Accurate, Efficient and Monotonic Numerical Methods for Multi-dimensional Compressible Flows. Part I : Spatial Discretization | en |
dc.type | Article | en |
dc.contributor.AlternativeAuthor | 김규홍 | - |
dc.contributor.AlternativeAuthor | 김종암 | - |
dc.identifier.doi | 10.1016/j.jcp.2005.02.021 | - |
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