A geometrically-conservative, synchronized, flux-corrected remap for arbitrary Lagrangian–Eulerian computations with nodal finite elements
- Creators
- López Ortega, A.
- Scovazzi, G.
Abstract
This article describes a conservative synchronized remap algorithm applicable to arbitrary Lagrangian–Eulerian computations with nodal finite elements. In the proposed approach, ideas derived from flux-corrected transport (FCT) methods are extended to conservative remap. Unique to the proposed method is the direct incorporation of the geometric conservation law (GCL) in the resulting numerical scheme. It is shown here that the geometric conservation law allows the method to inherit the positivity preserving and local extrema diminishing (LED) properties typical of FCT schemes. The proposed framework is extended to the systems of equations that typically arise in meteorological and compressible flow computations. The proposed algorithm remaps the vector fields associated with these problems by means of a synchronized strategy. The present paper also complements and extends the work of the second author on nodal-based methods for shock hydrodynamics, delivering a fully integrated suite of Lagrangian/remap algorithms for computations of compressible materials under extreme load conditions. Extensive testing in one, two, and three dimensions shows that the method is robust and accurate under typical computational scenarios.
Additional Information
© 2011 Elsevier Inc. Received 15 December 2010; revised 10 April 2011; accepted 3 May 2011. Available online 14 May 2011. The authors would like to acknowledge, for very valuable discussions, Dr. M. Möller at University of Dortmund, Professor A. Bonito at Texas A&M University, Professor R. H. Nochetto at the University of Maryland, Dr. E. Love and Dr. J. Shadid at Sandia National Laboratories, and Dr. M. Shashkov at Los Alamos National Laboratory. A. López Ortega would also like to acknowledge his advisors D.I. Pullin and D.I. Meiron at the Graduate Aerospace Laboratories at California Institute of Technology. A. López Ortega is supported by the PSAAP program, funded by the Department of Energy National Nuclear Security Administration under Award Number DE-FC52-08NA29613. G. Scovazzi would like to acknowledge the continuing support of Dr. J. Stewart through Computer Science Research Foundation Grants at Sandia National Laboratories.Additional details
- Eprint ID
- 24714
- DOI
- 10.1016/j.jcp.2011.05.005
- Resolver ID
- CaltechAUTHORS:20110805-140928406
- DE-FC52-08NA29613
- Department of Energy National Nuclear Security Administration PSAAP Program
- Sandia National Laboratories Computer Science Research Foundation Grants
- Created
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2011-08-05Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field