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  • NUMERICAL ANALYSIS  (2)
  • Coulomb  (1)
  • 1985-1989  (3)
  • 1985  (3)
  • 1
    Electronic Resource
    Electronic Resource
    Thermodynamics for Coulomb systems: A problem at vanishing particle densities (1985)
    Springer
    Journal of statistical physics 41 (1985), S. 975-1013 
    Details
    ISSN: 1572-9613
    Keywords: Coulomb ; thermodynamics ; quantum statistical mechanics ; partition function
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract In this paper I combine techniques recently developed by Charles Fefferman with the well-known methods of Joel Lebowitz and Elliott Lieb to resolve some technical problems left unsettled by Lebowitz and Lieb's fundamental 1972 paper “The constitution of matter: Existence of thermodynamics for systems composed of electrons and nuclei.”
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01010012
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    Paper (German National Licenses)
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  • 2
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    A one-dimensional shock capturing finite element method and multi-dimensional generalizations (1985)
    In:  Other Sources
    Details
    Publication Date: 2019-06-28
    Description: Multi-dimensional generalizations of a one-dimensional finite element shock capturing scheme are proposed. A scalar model problem is used to emphasize that 'preferred directions' are important in multi-dimensional applications. Schemes are developed for the two-dimensional Euler equations. One, based upon characteristics, employs the Mach lines and streamlines as preferred directions.
    Keywords: NUMERICAL ANALYSIS
    Format: text
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    NASA TECHNICAL REPORTS
  • 3
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    A high-precision finite element method for shock-tube calculations (1985)
    In:  Other Sources
    Details
    Publication Date: 2019-06-28
    Description: A two-pass explicit scheme is developed in order to exploit some of the capabilities of finite difference modeling (FDM) for finite element modeling (FEM), which offers the opportunity to account for any type of geometry in fluid flow modeling. Features of the first-order upwind and the Lax-Wendroff high precision explicit finite difference algorithms are reviewed. A flux limiter is developed for FEM to serve as an analog for the single limiter function which has been defined for the various FDMs. It is shown that an antidiffusive limiter must be introduced into the weighting function which normally multiplies the time-derivative term in the variational equation. The two-pass scheme which results is demonstrated to be the equivalent of FDMs with five-point support. However, the present scheme is valid only for one-dimensional calculations and linear shape functions for shock tube flow phenomena. Further work is required for its use with nonlinear hyperbolic systems.
    Keywords: NUMERICAL ANALYSIS
    Format: text
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    NASA TECHNICAL REPORTS
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