The Discrete Geometric Conservation Law and the Nonlinear Stability of ALE Schemes for the Solution of Flow Problems on Moving Grids

Charbel Farhat; Philippe Geuzaine; Céline Grandmont

doi:10.1006/jcph.2001.6932

The Discrete Geometric Conservation Law and the Nonlinear Stability of ALE Schemes for the Solution of Flow Problems on Moving Grids

Journal of Computational Physics ◽

10.1006/jcph.2001.6932 ◽

2001 ◽

Vol 174 (2) ◽

pp. 669-694 ◽

Cited By ~ 224

Author(s):

Charbel Farhat ◽

Philippe Geuzaine ◽

Céline Grandmont

Keyword(s):

Nonlinear Stability ◽

Conservation Law ◽

Flow Problems ◽

Moving Grids ◽

Geometric Conservation Law

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The discrete geometric conservation law and its effects on nonlinear stability and accuracy

10.2514/6.2001-2607 ◽

2001 ◽

Cited By ~ 2

Author(s):

Charbel Farhat ◽

Philippe Geuzaine ◽

Celine Grandmont

Keyword(s):

Nonlinear Stability ◽

Conservation Law ◽

Stability And Accuracy ◽

Geometric Conservation Law

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The Geometric Conservation Law - A link between finite-difference and finite-volume methods of flow computation on moving grids

10.2514/6.1978-1208 ◽

1978 ◽

Cited By ~ 21

Author(s):

P. THOMAS ◽

C. LOMBARD

Keyword(s):

Finite Difference ◽

Finite Volume ◽

Conservation Law ◽

Finite Volume Methods ◽

Flow Computation ◽

Moving Grids ◽

Geometric Conservation Law

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Geometric Conservation Law and Its Application to Flow Computations on Moving Grids

AIAA Journal ◽

10.2514/3.61273 ◽

1979 ◽

Vol 17 (10) ◽

pp. 1030-1037 ◽

Cited By ~ 757

Author(s):

P. D. Thomas ◽

C. K. Lombard

Keyword(s):

Conservation Law ◽

Moving Grids ◽

Geometric Conservation Law

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On the geometric conservation law in transient flow calculations on deforming domains

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.1093 ◽

2006 ◽

Vol 50 (12) ◽

pp. 1369-1379 ◽

Cited By ~ 42

Author(s):

Ch. Förster ◽

W. A. Wall ◽

E. Ramm

Keyword(s):

Conservation Law ◽

Transient Flow ◽

Geometric Conservation Law

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Multiderivative Combined Dissipative Compact Scheme Satisfying Geometric Conservation Law I:Basic Formulations and Performance Evaluation

Advances in Applied Mathematics and Mechanics ◽

10.4208/aamm.oa-2018-0078 ◽

2019 ◽

Vol 11 (2) ◽

pp. 255-284

Author(s):

Yi Jiang

Keyword(s):

Performance Evaluation ◽

Conservation Law ◽

Compact Scheme ◽

And Performance ◽

Geometric Conservation Law

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Nodal Points and the Nonlinear Stability of High-Order Methods for Unsteady Flow Problems on Tetrahedral Meshes

10.2514/6.2013-2830 ◽

2013 ◽

Cited By ~ 10

Author(s):

David M. Williams ◽

Antony Jameson

Keyword(s):

Unsteady Flow ◽

Nonlinear Stability ◽

High Order ◽

High Order Methods ◽

Flow Problems ◽

Tetrahedral Meshes ◽

Nodal Points

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Adaptive grid based on geometric conservation law level set method for time dependent PDE

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20360 ◽

2009 ◽

Vol 25 (3) ◽

pp. 582-597

Author(s):

Ali R. Soheili ◽

Maryam A. Ameri

Keyword(s):

Level Set Method ◽

Level Set ◽

Conservation Law ◽

Adaptive Grid ◽

Time Dependent ◽

Geometric Conservation Law ◽

Grid Based

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On the Temporal and Spatial Accuracy of Spectral Difference Method on Moving Deformable Grids and the Effect of Geometric Conservation Law

40th Fluid Dynamics Conference and Exhibit ◽

10.2514/6.2010-5032 ◽

2010 ◽

Cited By ~ 2

Author(s):

Kui Ou ◽

Anthony Jameson

Keyword(s):

Difference Method ◽

Conservation Law ◽

Spatial Accuracy ◽

Spectral Difference ◽

Spectral Difference Method ◽

Temporal And Spatial ◽

Geometric Conservation Law

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Construction of the discrete geometric conservation law for high-order time-accurate simulations on dynamic meshes

Journal of Computational Physics ◽

10.1016/j.jcp.2005.08.018 ◽

2006 ◽

Vol 213 (2) ◽

pp. 557-573 ◽

Cited By ~ 72

Author(s):

Dimitri J. Mavriplis ◽

Zhi Yang

Keyword(s):

Conservation Law ◽

High Order ◽

High Order Time ◽

Geometric Conservation Law

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Field Velocity Approach and Geometric Conservation Law for Unsteady Flow Simulations

AIAA Journal ◽

10.2514/1.5836 ◽

2006 ◽

Vol 44 (9) ◽

pp. 2084-2094 ◽

Cited By ~ 18

Author(s):

Jayanarayanan Sitaraman ◽

James D. Baeder

Keyword(s):

Unsteady Flow ◽

Conservation Law ◽

Flow Simulations ◽

Field Velocity ◽

Geometric Conservation Law

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