A difference spline scheme for Navier-Stokes equations in natural variables. (English. Russian original) Zbl 0894.76052
Comput. Math. Model. 8, No. 2, 112-117 (1997); translation from Chislennye Metody v Matematicheskoj Fizike, 33-38 (1996).
Summary: A difference scheme is proposed for solving Navier-Stokes equations in “velocity-pressure” variables. It is constructed using one-dimensional discrete parabolic splines. The monotonizing properties of the scheme are investigated on model problems.
MSC:
| 76M20 | Finite difference methods applied to problems in fluid mechanics |
| 76D05 | Navier-Stokes equations for incompressible viscous fluids |
Keywords:
velocity-pressure variables; one-dimensional discrete parabolic splines; monotonizing propertiesReferences:
| [1] | L. G. Loitsyanskii, Fluid and Gas Dynamics [in Russian], Moscow (1970). · Zbl 0247.76001 |
| [2] | D. Anderson, J. Tannehill, and R. Pletcher, Computational Fluid Mechanics and Heat Transfer [Russian translation], Mir, Moscow (1990). · Zbl 0734.76001 |
| [3] | S. V. Rusakov, Difference Spline Schemes for Heat and Mass Transfer Problems [in Russian], Izd. Irkutsk. Univ., Perm’ (1990). |
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