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Article information
2003 , Volume 8, ¹ 6, p.70-79
Pinchukov V.I.
Efficiency of implicit fourth order Runge - Kutta schemes in compressible flow problem
Two types of implicit fourth order Runge --- Kutta schemes are constructed for both multidimensional transfer equation with diffusion and for compressible flow equations. The sets of coefficients providing absolute stability of schemes are found. Adaptive artificial diffusion is used to provide convergence in time and to damp oscillations near shocks. Two types of absolutely stable fourth order schemes are compared. The results of test calculations for the case of compressible flows illustrating the schemes effectiveness are presented.
[full text] Classificator Msc2000:- *34A34 Nonlinear equations and systems, general
- 65L05 Initial value problems
- 65L06 Multistep, Runge-Kutta and extrapolation methods
- 65L20 Stability and convergence of numerical methods
- 65Z05 Applications to physics
- 76N15 Gas dynamics, general
Keywords: numerical simulation, high order methods, Runge-Kutta methods, turbulence, transonic flows, gas dynamics, convection operator, numerical examples, explicit fourth order Runge-Kutta schemes, multidimensional transfer equations, compressible flow equations, absolute stability, convergence
Author(s):
Pinchukov Vladimir Ivanovich
Dr. , Senior Scientist
Position: Leading research officer
Office: Institute of Computational Technologies SB RAS
Address: 630090, Russia, Novosibirsk, Ac. Lavrentiev ave., 6
Phone Office: (383) 330 73 73
E-mail: pinchvi@net.ict.nsc.ru
Bibliography link:
Pinchukov V.I. Efficiency of implicit fourth order Runge - Kutta schemes in compressible flow problem // Computational technologies. 2003. V. 8. ¹ 6. P. 70-79
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