Oceans and seas:Arbitrary Lagrangian Eulerian
Published: March 8, 2010, 12:00 am
Updated: June 28, 2012, 5:26 am
This article has been reviewed by the following Topic Editor:
C Michael Hogan
Arbitrary Lagrangian Eulerian (ALE), in the field of computational fluid dynamics, is a finite element solution technique for fluid flow problems with moving interfaces, e.g. moving walls, free surfaces. In the ALE method, the newly updated free surface is determined purely via the Lagrangian method, i.e. by the velocities of the fluid particles at the free surface. The nodes in the interior of the domain are displaced in an arbitrarily prescribed way to obtain a mesh of proper shape and to avoid mesh crossing.
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This article is written at a definitional level only. Authors wishing to expand this entry are inivited to expand the present treatment, which additions will be peer reviewed prior to publication of any expansion. |
References
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Ginzburg I., Wittum G., Two-phase flows on interface refined grids modeled with VOF, staggered finite volumes, and spline interpolants, J. Comp. Phys.,. vol. 166, 2001, p. 302-335.
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Hansbo P., The characteristic streamline diffusion method for the time dependent incompressible Navier-Stokes equations, Comp. Meth. Appl. Mech. Eng., vol. 99, 1992, p. 171-186.
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Harlow F. H., Welch J. E., Numerical study of large amplitude free surface motions, Phys. Fluids, vol.8, 1965, p. 2182.
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Hirt C. W., Nichols B. D., Volume of fluid (VOF) method for dynamic of free boundaries, J. Comput. Phys., vol. 39, 1981,
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Kelecy F. J., Pletcher R. H., The development of free surface capturing approach for multi dimensional free surface flows in closed containers, J. Comput. Phys., vol. 138, 1997, p. 939.
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Kothe D. B., Mjolsness R. C., RIPPLE: A new model for incompressible flows with free surfaces, AIAA Journal, Vol. 30, No 11, 1992, p. 2694-2700.
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Kuhnert J., General smoothed particle hydrodynamics, Ph.D. thesis, Kaiserslautern University, Germany, 1999.
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Citation
Steve Baum (Lead Author);C Michael Hogan (Topic Editor) "Arbitrary Lagrangian Eulerian". In: Encyclopedia of Earth. Eds. Cutler J. Cleveland (Washington, D.C.: Environmental Information Coalition, National Council for Science and the Environment). [First published in the Encyclopedia of Earth March 8, 2010; Last revised Date June 28, 2012; Retrieved May 23, 2013 <http://www.eoearth.org/article/Arbitrary_Lagrangian_Eulerian?topic=49523>
The Author
Assistant Research Scientist, Physical Section
Department of Oceanography
Texas A&M University ... (Full Bio)
Arbitrary Lagrangian Eulerian (ALE), in the field of computational fluid dynamics, is a finite element solution technique for fluid flow problems with moving interfaces, e.g. moving walls, free surfaces. In the ALE method, the newly updated free surface is determined purely via the Lagrangian method, i.e. by the velocities of the fluid particles at the free surface. The nodes in the interior of the domain are displaced in an arbitrarily prescribed way to obtain a mesh of proper shape and to avoid mesh crossing.
|
This article is written at a definitional level only. Authors wishing to expand this entry are inivited to expand the present treatment, which additions will be peer reviewed prior to publication of any expansion. |
References
-
Ginzburg I., Wittum G., Two-phase flows on interface refined grids modeled with VOF, staggered finite volumes, and spline interpolants, J. Comp. Phys.,. vol. 166, 2001, p. 302-335.
-
Hansbo P., The characteristic streamline diffusion method for the time dependent incompressible Navier-Stokes equations, Comp. Meth. Appl. Mech. Eng., vol. 99, 1992, p. 171-186.
-
Harlow F. H., Welch J. E., Numerical study of large amplitude free surface motions, Phys. Fluids, vol.8, 1965, p. 2182.
-
Hirt C. W., Nichols B. D., Volume of fluid (VOF) method for dynamic of free boundaries, J. Comput. Phys., vol. 39, 1981,
-
Kelecy F. J., Pletcher R. H., The development of free surface capturing approach for multi dimensional free surface flows in closed containers, J. Comput. Phys., vol. 138, 1997, p. 939.
-
Kothe D. B., Mjolsness R. C., RIPPLE: A new model for incompressible flows with free surfaces, AIAA Journal, Vol. 30, No 11, 1992, p. 2694-2700.
-
Kuhnert J., General smoothed particle hydrodynamics, Ph.D. thesis, Kaiserslautern University, Germany, 1999.
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