A new finite element formulation for computational fluid dynamics. II. Beyond SUPG. (English) Zbl 0622.76074

Hughes, Thomas J. R.; Mallet, Michel; Mizukami, Akira

Comput. Methods Appl. Mech. Eng. 54, 341-355 (1986).

[For part I see ibid. 54, 223-234 (1986; Zbl 0581.76077; Zbl 0572.76068).]
A discontinuity-capturing term is added to the streamline-upwind/Petrov- Galerkin weighting function for the scalar advection-diffusion equation. The additional term enhances the ability of the method to produce smooth yet crisp approximations to internal and boundary layers.

MSC:

76N10	Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
80A20	Heat and mass transfer, heat flow (MSC2010)
65Z05	Applications to the sciences
76R99	Diffusion and convection

Keywords:

compressible Navier-Stokes equations; heat conducting effects; entropy variables; finite element methods; second law of thermodynamics; stability; discrete solution; Navier-Stokes equations; discontinuity- capturing term; streamline-upwind/Petrov-Galerkin weighting function; scalar advection-diffusion equation; crisp approximations; boundary layers

References:

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