Fast and accurate closure approximations for bead-spring models of dilute polymer solutions
نویسندگان
چکیده
منابع مشابه
Existence and Equilibration of Global Weak Solutions to Kinetic Models for Dilute Polymers I: Finitely Extensible Nonlinear Bead-spring Chains
We show the existence of global-in-time weak solutions to a general class of coupled FENE-type bead-spring chain models that arise from the kinetic theory of dilute solutions of polymeric liquids with noninteracting polymer chains. The class of models involves the unsteady incompressible Navier–Stokes equations in a bounded domain in Rd, d = 2 or 3, for the velocity and the pressure of the flui...
متن کاملExistence and equilibration of global weak solutions to finitely extensible nonlinear bead-spring chain models for dilute polymers
We show the existence of global-in-time weak solutions to a general class of coupled FENEtype bead-spring chain models that arise from the kinetic theory of dilute solutions of polymeric liquids with noninteracting polymer chains. The class of models involves the unsteady incompressible Navier–Stokes equations in a bounded domain in R, d = 2 or 3, for the velocity and the pressure of the fluid,...
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We show the existence of global-in-time weak solutions to a general class of coupledHookean-type bead-spring chain models that arise from the kinetic theory of dilute solu-tions of polymeric liquids with noninteracting polymer chains. The class of models involvesthe unsteady incompressible Navier–Stokes equations in a bounded domain in R, d = 2or 3, for the velocity and the ...
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We study the convergence of a nonlinear approximation method introduced in the engineering literature for the numerical solution of a high-dimensional Fokker– Planck equation featuring in Navier–Stokes–Fokker–Planck systems that arise in kinetic models of dilute polymers. To do so, we build on the analysis carried out recently by Le Bris, Lelièvre and Maday (Const. Approx. 30: 621–651, 2009) in...
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Polymers show universal behavior at long length and time scales. In this chapter, the equilibrium and dynamics of dilute polymer solutions is presented in terms of theoretical models that form the basis of polymer physics. The size of an ideal polymer is calculated from the freely jointed chain model, the freely rotating chain model and the Gaussian equivalent chain model. The Edwards Hamiltoni...
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ژورنال
عنوان ژورنال: ANZIAM Journal
سال: 2005
ISSN: 1445-8810
DOI: 10.21914/anziamj.v46i0.966