This study presents a methodology for modeling a developing turbulent boundary layer flows over surfaces with large (macro-scale) rougness elements, with particular application to flow over bio-fouled surfaces. A sharp-interface immersed boundary method coupled with a wall model and large-eddy simulations is used to carry out accurate simulations of flow over such macro-bio-fouled surfaces. Sim...

In this paper we continue our studies of the one dimensional conformal metric flows, which were introduced in [9]. We prove the global existence and convergence of the flows, as well as the exponential convergence of the metrics under these flows.

this article investigates the nonlinear, steady boundary layer flow and heat transfer of an incompressible eyring-powell non-newtonian fluid from an isothermal sphere with biot number effects. the transformed conservation equations are solved numerically subject to physically appropriate boundary conditions using a second-order accurate implicit finite-difference keller box technique. the influ...

The intent of this analysis is to explore the influence of thermal radiation paired with variable thermal conductivity on MHD micropolar fluid flow over an upper surface. The novelty of the present model is to consider the fluid flow along an upper horizontal surface of a paraboloid of revolution (uhspr) with the porous medium.  This physical phenomenon is described by a set of coupled...

We present a convergence analysis of a stochastic method for numerical modeling of complex fluids using Brownian configuration fields (BCF) for shear flows. The analysis takes into account the special structure of the stochastic partial differential equations for shear flows. We establish the optimal rate of convergence. We also analyze the nature of the error by providing its leading order asy...

Global stability properties of dynamic two-country models can be easily studied in the case of international capital flows and simple capital market no-arbitrage conditions. With internationally constant relative productivities, long-run balanced growth path values for factor prices will hold on any equilibrium path unless one country experiences a period of no innovation. Innovation rates conv...

As we know the approximation solution of seventh order two points boundary value problems based on B-spline of degree eight has only ${cal O}(h^{2})$ accuracy and this approximation is non-optimal. In this work, we obtain an optimal spline collocation method for solving the general nonlinear seventh order two points boundary value problems. The ${cal O}(h^{8})$ convergence analysis, mainly base...

We consider the linear system arising from discretization of the pressure Poisson equation with Neumann boundary conditions, derived from bubbly flow problems. In the literature, preconditioned Krylov iterative solvers are proposed, but they often suffer from slow convergence for relatively large and complex problems. We extend these traditional solvers with the so-called deflation technique, t...