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Title: Stabilization of numerical interchange in spectral-element magnetohydrodynamics

Authors:
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1324850
Grant/Contract Number:
FC02-08ER54975; AC02-05CH11231
Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Journal of Computational Physics
Additional Journal Information:
Journal Volume: 319; Journal Issue: C; Related Information: CHORUS Timestamp: 2017-10-03 21:18:09; Journal ID: ISSN 0021-9991
Publisher:
Elsevier
Country of Publication:
United States
Language:
English

Citation Formats

Sovinec, C. R.. Stabilization of numerical interchange in spectral-element magnetohydrodynamics. United States: N. p., 2016. Web. doi:10.1016/j.jcp.2016.04.063.
Sovinec, C. R.. Stabilization of numerical interchange in spectral-element magnetohydrodynamics. United States. doi:10.1016/j.jcp.2016.04.063.
Sovinec, C. R.. 2016. "Stabilization of numerical interchange in spectral-element magnetohydrodynamics". United States. doi:10.1016/j.jcp.2016.04.063.
@article{osti_1324850,
title = {Stabilization of numerical interchange in spectral-element magnetohydrodynamics},
author = {Sovinec, C. R.},
abstractNote = {},
doi = {10.1016/j.jcp.2016.04.063},
journal = {Journal of Computational Physics},
number = C,
volume = 319,
place = {United States},
year = 2016,
month = 8
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1016/j.jcp.2016.04.063

Citation Metrics:
Cited by: 1work
Citation information provided by
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  • We present a simple filtering procedure for stabilizing the spectral element method (SEM) for the unsteady advection-diffusion and Navier-Stokes equations. A number of example applications are presented, along with basic analysis for the advection-diffusion case.
  • A finite element model is developed for the prediction of the motion of rotating Boussinesq fluid driven by buoyancy. The computations are performed for the axisymmetric regime in an annular cavity for Reynolds number varying from 0 to 2,500. The results are compared with those of an earlier study of this problem using a spectral Tau-Chebyshev method. The good agreement found assesses the finite element model. Finally, a complementary convergence analysis gives the sensitivity of the model to mesh refinement.
  • Abstract not provided.
  • 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 10
  • 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