Numerical simulations of flows over a rotating circular cylinder using the immersed boundary method

Study of mass consistency LES/FDF techniques for chemically reacting flows

“…The implementation of the LES/FDF models described above resulted in a CFD tool capable of performing parallel distributed computations relying on a three-dimensional Cartesian topology of domain decomposition. Notice as well that this tool involves the use of immersed boundary methods for simulating complex flow configurations [36,37]. Cartesian meshes based on staggered arrangements are thus utilised in this work.…”

An Introduction of Central Difference Scheme Stability for High Reynolds Number

“…In addition, flow over circular cylinders involve different fundamentals dynamic phenomena, such as boundary layer separation, shear layer development and vortex dynamic (Akbari & Price, 2005). The configurations with a cylinders pair in tandem and side by side are the most extensively discussed in the literature (Sumner et al, 1999;Deng et al, 2006;Silva et al, 2009), although the form more general is the staggered configuration ( Sumner et al, 2008;Sumner et al, 2005;Silva et al, 2009). According to the literature, there are various interference regimes, which were based on flow visualization in experiments.…”

A leading term for the velocity of stationary viscous incompressible flow around a rigid body performing a rotation and a translation

“…with α ∈ N 3 0 with |α| := α 1 + α 2 + α 3 ≤ 1, if |f (x)| tends to zero sufficiently fast for large values of |x| ( [37], [10]). Note that in the case α = 0, the relation in (3) describes the decay of u, whereas the asymptotic behavior of ∇u is specified by (3) if α ∈ N 3 0 with |α| = 1. The term s τ (x) is defined as s τ (x) := 1 + τ (|x| − x 1 ) (x ∈ R 3 ).…”

“…For example, numerical computation of exterior flows often involve bounded computational domains, with an artificial boundary condition on the outer boundary of such domains. The choice of such boundary conditions, and related error estimates, are determined by the asymptotic structure of the flow field, and thus by a leading term; see [2,3,27].…”

“…x from outside a ball B S , and for 1 ≤ l, m ≤ 3. The factor [(u • ∇)u](y) in this term can be handled by using (3). As concerns the second derivatives ∂ x l ∂ xm Z(x, y) of Z(x, y), however, no suitable bounds are available in literature, so we have to return to the definition of Z(x, y), which, as we may recall, involves an integral on (0, ∞).…”