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Title: The spectral element method on variable resolution grids: Evaluating grid sensitivity and resolution-aware numerical viscosity.

Abstract

Abstract not provided.

Authors:
; ; ; ; ;
Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1145835
Report Number(s):
SAND2014-4110J
518208
DOE Contract Number:
DE-AC04-94AL85000
Resource Type:
Journal Article
Resource Relation:
Journal Name: Geophysical Model Development; Related Information: Proposed for publication in Geophysical Model Development.
Country of Publication:
United States
Language:
English

Citation Formats

Taylor, Mark A., Guba, Oksana, LEVY, M, Levy, Michael, Overfelt, James R., and Ullrich, Paul. The spectral element method on variable resolution grids: Evaluating grid sensitivity and resolution-aware numerical viscosity.. United States: N. p., 2014. Web.
Taylor, Mark A., Guba, Oksana, LEVY, M, Levy, Michael, Overfelt, James R., & Ullrich, Paul. The spectral element method on variable resolution grids: Evaluating grid sensitivity and resolution-aware numerical viscosity.. United States.
Taylor, Mark A., Guba, Oksana, LEVY, M, Levy, Michael, Overfelt, James R., and Ullrich, Paul. Thu . "The spectral element method on variable resolution grids: Evaluating grid sensitivity and resolution-aware numerical viscosity.". United States. doi:.
@article{osti_1145835,
title = {The spectral element method on variable resolution grids: Evaluating grid sensitivity and resolution-aware numerical viscosity.},
author = {Taylor, Mark A. and Guba, Oksana and LEVY, M and Levy, Michael and Overfelt, James R. and Ullrich, Paul},
abstractNote = {Abstract not provided.},
doi = {},
journal = {Geophysical Model Development},
number = ,
volume = ,
place = {United States},
year = {Thu May 01 00:00:00 EDT 2014},
month = {Thu May 01 00:00:00 EDT 2014}
}
  • We evaluate the performance of the Community Atmosphere Model's (CAM) spectral element method on variable-resolution grids using the shallow-water equations in spherical geometry. We configure the method as it is used in CAM, with dissipation of grid scale variance, implemented using hyperviscosity. Hyperviscosity is highly scale selective and grid independent, but does require a resolution-dependent coefficient. For the spectral element method with variable-resolution grids and highly distorted elements, we obtain the best results if we introduce a tensor-based hyperviscosity with tensor coefficients tied to the eigenvalues of the local element metric tensor. The tensor hyperviscosity is constructed so that, formore » regions of uniform resolution, it matches the traditional constant-coefficient hyperviscosity. With the tensor hyperviscosity, the large-scale solution is almost completely unaffected by the presence of grid refinement. This later point is important for climate applications in which long term climatological averages can be imprinted by stationary inhomogeneities in the truncation error. We also evaluate the robustness of the approach with respect to grid quality by considering unstructured conforming quadrilateral grids generated with a well-known grid-generating toolkit and grids generated by SQuadGen, a new open source alternative which produces lower valence nodes.« less
    Cited by 11
  • We evaluate the performance of the Community Atmosphere Model's (CAM) spectral element method on variable resolution grids using the shallow water equations in spherical geometry. We configure the method as it is used in CAM, with dissipation of grid scale variance implemented using hyperviscosity. Hyperviscosity is highly scale selective and grid independent, but does require a resolution dependent coefficient. For the spectral element method with variable resolution grids and highly distorted elements, we obtain the best results if we introduce a tensor-based hyperviscosity with tensor coefficients tied to the eigenvalues of the local element metric tensor. The tensor hyperviscosity ismore » constructed so that for regions of uniform resolution it matches the traditional constant coefficient hyperviscsosity. With the tensor hyperviscosity the large scale solution is almost completely unaffected by the presence of grid refinement. This later point is important for climate applications where long term climatological averages can be imprinted by stationary inhomogeneities in the truncation error. We also evaluate the robustness of the approach with respect to grid quality by considering unstructured conforming quadrilateral grids generated with a well-known grid-generating toolkit and grids generated by SQuadGen, a new open source alternative which produces lower valence nodes.« less
  • Abstract not provided.