Abstract
A difference scheme is proposed for solving Navier-Stokes equations in “veiocity-pressure” variables. It is constructed using one-dimensional discrete parabolic splines. The monotonizing properties of the scheme are investigated with prototype problems.
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References
L. G. Loitsyanskii, Fluid and Gas Dynamics [in Russian], Moscow (1970).
D. Anderson, J. Tannehill, and R. Pletcher, Computational Fluid Mechanics and Heat Transfer [Russian translation], Mir, Moscow (1990).
S. V. Rusakov, Difference Spline Schemes for Heat and Mass Transfer Problems [in Russian], Izd. Irkutsk. Univ., Perm' (1990).
Additional information
Translated from Chislennye Metody v Matematicheskoi Fizike, Published by Moscow University, Moscow, 1996, pp. 33–38.
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Paskonov, V.M., Rusakov, S.V. & Chudov, I.I. A difference spline scheme for navier-stokes equations in natural variables. Comput Math Model 8, 112–117 (1997). https://doi.org/10.1007/BF02405160
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DOI: https://doi.org/10.1007/BF02405160