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Article information
1997 , Volume 2, ¹ 6, p.71-87
Pinchukov V.I.
Entropy and quasientropy properties of high order schemes
Artificial dissipative terms of adaptive type are constructed
for difference schemes of high order of approximations.
Artificial dissipation must be little on smooth decisions
and must grow near discontinuities, and to provide appearance of negative sources of difference energy similar as viscous terms of Navier-Stokes equations provide appearance of entropy sources. Two difference schemes of second and sixth order are considered for compressible flow equations. It is shown that usage of constructed dissipative terms allows to achieve good scheme`s convergence in time.
[full text] Classificator Msc2000:- *35L65 Conservation laws
- 65M06 Finite difference methods
- 65M12 Stability and convergence of numerical methods
- 76M20 Finite difference methods
- 76N15 Gas dynamics, general
Keywords: nonlinear filters, entropy, high order approximation, conservation laws, monotonicity, maximum principle, difference schemes, compressible flow equations, numerical experiments, 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. Entropy and quasientropy properties of high order schemes // Computational technologies. 1997. V. 2. ¹ 6. P. 71-87
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