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An ALE Formulation of the Multidimensional Residual Distribution Scheme for Computations on Moving Meshes

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Computational Fluid Dynamics 2006
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Abstract

The Residual Distribution (RD) schemes for unsteady computations are subject of on-going intensive research [1]. Until recently, the RD schemes for unsteady transonic flow simulations had modest success due to difficulties to deal with large time-steps. As the solution, a new Bx scheme was introduced in [3]. The scheme is based on a blend of the non-oscillatory first order lumped mass matrix formulation of the N scheme and the second order full mass matrix formulation of the LDA scheme using a simple pressure switch. In smooth parts of the flow linear stability is sufficient and the LDA scheme is active. In shocks, the N scheme is activated to prevent oscillations in the solution. The blending parameter is smooth, giving superior iterative convergence properties and scaled such that second order of accuracy is achieved. The topic of this paper is the extension of the Bx scheme for the computation on moving meshes with application to transonic flutter computations.

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References

  1. Abgrall R., Mezine M.: Construction of second order accurate monotone and stable residual distribution schemes for unsteady flow problems. JCP, 188:16–55 (2003).

    Article  MathSciNet  MATH  Google Scholar 

  2. Barth T.J.: Aspects of unstructured grids and finite-volume solvers for the Euler and Navier-Stokes equations. In: 25th CFD VKI LS (1994).

    Google Scholar 

  3. Dobevs J., Deconinck H.: Second order blended multidimensional residual distribution scheme for steady and unsteady computations. J. of Comp. and Appl. Math. (JCAM) (2005), accepted for publication.

    Google Scholar 

  4. Dobevs J., Deconinck H.: Extension of linear second order residual distribution schemes for computations on moving meshes. In: J. Pvríhoda, K. Kozel (editors), Proceedings of “Topical Problems of Fluid Mechanics 2006”, 27–30, IT CAS CZ (2006), ISBN 80-85918-98-6.

    Google Scholar 

  5. E. Carson Yates J.: AGARD standard aeroelastic configurations for dynamic response. Technical Memorandum 100492, NASA (1987).

    Google Scholar 

  6. Koobus B., Farhat C.: Second-order time-accurate and geometrically conservative implicit schemes for flow computations on unstructured dynamic meshes. Comput. Methods Appl. Mech. Engrg., 170(1–2):103–129 (1999).

    Article  MathSciNet  MATH  Google Scholar 

  7. Michler C., Sterck H.D., Deconinck H.: An arbitrary Lagrangian Eulerian formulation for residual distribution schemes on moving grids. Computers and Fluids, 32(1):59–71 (2003).

    Article  MATH  Google Scholar 

  8. S. Piperno, Farhat C.: Partitioned procedures for the transient solution of coupled aeroelastic problems part II: Energy transfer analysis and three-dimensional applications. Comput. Meths. Appl. Mech. Engrg., 190(24):3147–3170 (2001).

    Article  MATH  Google Scholar 

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Correspondence to JirĂ­ Dobes .

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Dobes, J., Deconinck, H. (2009). An ALE Formulation of the Multidimensional Residual Distribution Scheme for Computations on Moving Meshes. In: Deconinck, H., Dick, E. (eds) Computational Fluid Dynamics 2006. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-92779-2_12

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  • DOI: https://doi.org/10.1007/978-3-540-92779-2_12

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