Implicit scheme for meshless compressible Euler solver
IR@NAL: CSIR-National Aerospace Laboratories, Bangalore
View Archive Info| Field | Value | |
| Title |
Implicit scheme for meshless compressible Euler solver
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| Creator |
Singh, Manish K
Ramesh, V Balakrishanan, N |
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| Subject |
Fluid Mechanics and Thermodynamics
Numerical Analysis |
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| Description |
In this paper, an implicit scheme is presented for a meshless compressible Euler solver based on the Least Square Kinetic
Upwind Method (LSKUM). The Jameson and Yoon’s split flux Jacobians formulation is very popular in finite volume
methodology, which leads to a scalar diagonal dominant matrix for an efficient implicit procedure (Jameson & Yoon, 1987).
However, this approach leads to a block diagonal matrix when applied to the LSKUM meshless method. The above split
flux Jacobian formulation, along with a matrix-free approach, has been adopted to obtain a diagonally dominant, robust and
cheap implicit time integration scheme. The efficacy of the scheme is demonstrated by computing 2D flow past a NACA
0012 airfoil under subsonic, transonic and supersonic flow conditions. The results obtained are compared with available
experiments and other reliable computational fluid dynamics (CFD) results. The present implicit formulation shows good
convergence acceleration over the RK4 explicit procedure. Further, the accuracy and robustness of the scheme in 3D is
demonstrated by computing the flow past an ONERA M6 wing and a clipped delta wing with aileron deflection. The
computed results show good agreement with wind tunnel experiments and other CFD computations.
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| Publisher |
Taylor & Francis Group, London U.K.
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| Date |
2015-08-21
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| Type |
Journal Article
PeerReviewed |
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| Relation |
http://www.tandfonline.com/loi/tcfm20/
http://nal-ir.nal.res.in/12373/ |
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| Identifier |
Singh, Manish K and Ramesh, V and Balakrishanan, N (2015) Implicit scheme for meshless compressible Euler solver. Engineering Applications of Computational Fluid Mechanics, 9 (1). pp. 382-398. ISSN 1994-2060 (Print), 1997-003X (Online)
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