Abstract
Steady-state flow problems are solved as a rule by some iterative technique. Relaxation methods are the most common ones. The multi-grid (MG) technique can be considered as a variant of a usual relaxation strategy even though it differs conceptually from the latter. The multi-grid method (MGM) has been first applied to transonic problems by Brandt and the present author. A refined and efficient version of this method is described in details by Fuchs M. A short review of the MGM is given here. Other applications and developments of the MGM are described by Brandt [2] and the references in that paper.
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References
Fuchs, L.J.: Finite difference methods for plane steady inviscid transonic flows. TRITA-GAD-2, 1977
Brandt, A.: Multi-level adaptive computations in fluid dynamics. AIAA paper No 79 - 1455, 1979
Murman, E.M. and Cole J.P.: Calculation of plane steady transonic flows. AIAA Journal No, pp. 114 - 121, 1971
Langley, M.J.: Numerical methods for two-dimensional and axisymmetric transonic flows, Aeronautical Research Council, C.P. No 1376, 1977
Murman, E.M. and Cole, J.D.: Inviscid drag at transonic speeds. AIAA paper No. 74 - 540, 1974
Murman, E.M.: Analysis of embeded shock waves calculated by relaxation methods. AIAA Journal Vol. 12, pp 626 - 633. 1974
Klunker, E.B.: Contribution to methods for calculating the flow about thin lifting wings at transonic speeds - analytical expressions for the far-field NASA TN D-6530, 1971
Fuchs, L.J.: On the accuracy of numerical solutions of transonic Problem, to appear, 1979
Brandt, A.: Multi-level adaptive solution to boundary value problems. Math. of Comp. vol. 31, pp. 333 - 380, 1977
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© 1981 Springer Fachmedien Wiesbaden
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Fuchs, L.J. (1981). Transonic Flow Computation by a Multi-Grid Method. In: Rizzi, A., Viviand, H. (eds) Numerical Methods for the Computation of Inviscid Transonic Flows with Shock Waves. Notes on Numerical Fluid Mechanics, vol 3. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-14008-5_6
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DOI: https://doi.org/10.1007/978-3-663-14008-5_6
Publisher Name: Vieweg+Teubner Verlag, Wiesbaden
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