Natural Convection of Incompressible Viscoelastic Fluid Flow
We revisit the MIT Benchmark 2001 and introduce a viscoelastic constitutive law into the fluid in motion. Our
goal is to study the effect of viscoelasticity into the periodical behavior of the physical quantities of the corresponding
benchmark. We use a robust numerical technique in simulating complex fluid flow problems based on higher order Finite
Element discretization.While marching in time, an A-stable method of second order is favorable, i.e Crank-Nicolson scheme,
to reproduce periodical behaviors. We use a differential form of viscoelastic model, i.eOldroyd-B type and find out that a
small amount of viscoelasticity reduces the oscillatory behavior.
Keywords - Viscoelastic, Oldroyd-B, Natural convection, Non-isothermal.