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Title: Improved ALE mesh velocities for complex flows

A key choice in the development of arbitrary Lagrangian-Eulerian solution algorithms is how to move the computational mesh. The most common approaches are smoothing and relaxation techniques, or to compute a mesh velocity field that produces smooth mesh displacements. We present a method in which the mesh velocity is specified by the irrotational component of the fluid velocity as computed from a Helmholtz decomposition, and excess compression of mesh cells is treated through a noniterative, local spring-force model. This approach allows distinct and separate control over rotational and translational modes. In conclusion, the utility of the new mesh motion algorithm is demonstrated on a number of 3D test problems, including problems that involve both shocks and significant amounts of vorticity.
Authors:
ORCiD logo [1] ;  [1] ; ORCiD logo [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Report Number(s):
LA-UR-15-28134
Journal ID: ISSN 0271-2091
Grant/Contract Number:
AC52-06NA25396
Type:
Accepted Manuscript
Journal Name:
International Journal for Numerical Methods in Fluids
Additional Journal Information:
Journal Volume: 85; Journal Issue: 11; Journal ID: ISSN 0271-2091
Publisher:
Wiley
Research Org:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org:
USDOE Laboratory Directed Research and Development (LDRD) Program
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 97 MATHEMATICS AND COMPUTING; Arbitrary Lagrangian Eulerian hydrodynamics; Helmholtz decomposition; Unstructured grids; Shock hydrodynamics
OSTI Identifier:
1375162

Bakosi, Jozsef, Waltz, Jacob I., and Morgan, Nathaniel Ray. Improved ALE mesh velocities for complex flows. United States: N. p., Web. doi:10.1002/fld.4403.
Bakosi, Jozsef, Waltz, Jacob I., & Morgan, Nathaniel Ray. Improved ALE mesh velocities for complex flows. United States. doi:10.1002/fld.4403.
Bakosi, Jozsef, Waltz, Jacob I., and Morgan, Nathaniel Ray. 2017. "Improved ALE mesh velocities for complex flows". United States. doi:10.1002/fld.4403. https://www.osti.gov/servlets/purl/1375162.
@article{osti_1375162,
title = {Improved ALE mesh velocities for complex flows},
author = {Bakosi, Jozsef and Waltz, Jacob I. and Morgan, Nathaniel Ray},
abstractNote = {A key choice in the development of arbitrary Lagrangian-Eulerian solution algorithms is how to move the computational mesh. The most common approaches are smoothing and relaxation techniques, or to compute a mesh velocity field that produces smooth mesh displacements. We present a method in which the mesh velocity is specified by the irrotational component of the fluid velocity as computed from a Helmholtz decomposition, and excess compression of mesh cells is treated through a noniterative, local spring-force model. This approach allows distinct and separate control over rotational and translational modes. In conclusion, the utility of the new mesh motion algorithm is demonstrated on a number of 3D test problems, including problems that involve both shocks and significant amounts of vorticity.},
doi = {10.1002/fld.4403},
journal = {International Journal for Numerical Methods in Fluids},
number = 11,
volume = 85,
place = {United States},
year = {2017},
month = {5}
}