A new finite element formulation for computational fluid dynamics. IV: A discontinuity-capturing operator for multidimensional advective-diffusive systems

DOI10.1016/0045-7825(86)90153-2zbMath0587.76120OpenAlexW1994125095MaRDI QIDQ1072867

Thomas J. R. Hughes, Michel Mallet

Publication date: 1986

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(86)90153-2

zbMATH Keywords

compressible Navier-Stokes equationsboundary layersdiscrete solutioninterior layersdiscontinuity-capturing operatorentropy-variables formscalar advection-diffusion equationstrong gradientssymmetric incompletely parabolic systems

Mathematics Subject Classification ID

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Cites Work

• A rotationally biased upwind difference scheme for the Euler equations
• A new finite element formulation for computational fluid dynamics. I: Symmetric forms of the compressible Euler and Navier-Stokes equations and the second law of thermodynamics
• A new finite element formulation for computational fluid dynamics. II. Beyond SUPG
• A new finite element formulation for computational fluid dynamics. III: The generalized streamline operator for multidimensional advective- diffusive systems

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