Convergence to Suitable Weak Solutions for a Finite Element Approximation of the Navier–Stokes Equations with Numerical Subgrid Scale Modeling
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-016-0304-8
Abstract: In this work we prove that weak solutions constructed by a variational multiscale method are suitable in the sense of Scheffer. In order to prove this result, we consider a subgrid model that enforces orthogonality… read more here.
Keywords: solutions finite; finite element; convergence suitable; weak solutions ... See more keywords
Peristatic solutions for finite one- and two-dimensional systems
Sign Up to like & getrecommendations! Published in 2017 at "Mathematics and Mechanics of Solids"
DOI: 10.1177/1081286516641180
Abstract: Peridynamics is a nonlocal continuum mechanics theory where its governing equation has an integro-differential form. This paper specifically uses bond-based peridynamics. Typically, peridynamic problems are solved via numerical means, and analytical solutions are not as… read more here.
Keywords: solutions finite; one two; two dimensional; finite one ... See more keywords
Uniqueness of steady 1-D shock solutions in a finite nozzle via vanishing viscosity aguments
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DOI: 10.3934/cpaa.2021066
Abstract: This paper studies the uniqueness of steady 1-D shock solutions in a finite flat nozzle via vanishing viscosity arguments. It is proved that, for both barotropic gases and non-isentropic gases, the steady viscous shock solutions… read more here.
Keywords: shock solutions; viscosity; solutions finite; uniqueness steady ... See more keywords