Artificial viscosity and the cell vertex method

Effects of heat conduction on artificial viscosity methods for shock capturing

Journal of Computational Physics ◽

10.1016/j.jcp.2013.08.003 ◽

2013 ◽

Vol 255 ◽

pp. 48-52 ◽

Cited By ~ 1

Author(s):

Andrew W. Cook

Keyword(s):

Heat Conduction ◽

Artificial Viscosity ◽

Shock Capturing

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Artificial Viscosity Methods for Blunt Body Flowfield Analysis with Thermal Radiation

AIAA Journal ◽

10.2514/3.50223 ◽

1972 ◽

Vol 10 (6) ◽

pp. 836-838

Author(s):

JAMES O. NICHOLS

Keyword(s):

Thermal Radiation ◽

Blunt Body ◽

Artificial Viscosity

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The Use of Artificial Viscosity to Compute One-Dimensional Wave Propagation in Composite Materials

Journal of Composite Materials ◽

10.1177/002199837400800204 ◽

1974 ◽

Vol 8 (2) ◽

pp. 142-159 ◽

Cited By ~ 12

Author(s):

D.R. Curran ◽

L. Seaman ◽

M. Austin

Keyword(s):

Wave Propagation ◽

Composite Materials ◽

Artificial Viscosity ◽

One Dimensional ◽

Dimensional Wave

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Computation Of Flows with Shocks Using Spectral Difference Scheme with Artificial Viscosity

48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition ◽

10.2514/6.2010-1449 ◽

2010 ◽

Cited By ~ 9

Author(s):

Sachin Premasuthan ◽

Chunlei Liang ◽

Antony Jameson

Keyword(s):

Difference Scheme ◽

Artificial Viscosity ◽

Spectral Difference

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Averaging and integral manifolds

Bulletin of the Australian Mathematical Society ◽

10.1017/s0004972700041812 ◽

1970 ◽

Vol 2 (2) ◽

pp. 197-222 ◽

Cited By ~ 16

Author(s):

W. A. Coppel ◽

K. J. Palmer

Keyword(s):

Autonomous System ◽

Method Of Characteristics ◽

Integral Manifold ◽

Artificial Viscosity ◽

Original Method ◽

Method Of Averaging ◽

System Of Differential Equations ◽

Viscosity Term ◽

Integral Manifolds ◽

The Individual

An integral manifold for a system of differential equations is a manifold such that any solution of the equations which has a point on it is entirely contained on it. The method of averaging establishes the existence of such a manifold for a system which is a perturbation of an autonomous system with a periodic orbit. The existence of the manifold is established here under more general hypotheses, namely for perturbations which are ‘integrally small’. The method differs from the original method of Bogolyubov and Mitropolskii and operates directly with the individual solutions. This is made possibly by the use of an appropriate norm, and is equivalent to solving the partial differential equation which occurs in work by Moser and Sacker by the method of characteristics rather than by the introduction of an artificial viscosity term. Moreover, detailed smoothness properties of the manifold are obtained. For periodic perturbations the integral manifold is a torus and these smoothness properties are just sufficient to permit the application of Denjoy's theorem.

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